{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "86d8297c",
   "metadata": {},
   "source": [
    "# Association - Dufal et al. model\n",
    "\n",
    "The following figures show the checks of the results from the model of Dufal against the models implemewnted in CoolProp or calculated values from the paper of Dufal; in the case of methanol, a different EOS is implemented than in REFPROP, but that cannot explain the large deviations.\n",
    "\n",
    "Note: There appears to be a typo in the methanol parameters as-published"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "749d6839",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-10-15T23:11:52.927329Z",
     "iopub.status.busy": "2025-10-15T23:11:52.927163Z",
     "iopub.status.idle": "2025-10-15T23:11:53.893346Z",
     "shell.execute_reply": "2025-10-15T23:11:53.892746Z"
    }
   },
   "outputs": [],
   "source": [
    "import teqp, numpy as np, matplotlib.pyplot as plt, CoolProp.CoolProp as CP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a162884e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-10-15T23:11:53.895164Z",
     "iopub.status.busy": "2025-10-15T23:11:53.894937Z",
     "iopub.status.idle": "2025-10-15T23:11:53.901837Z",
     "shell.execute_reply": "2025-10-15T23:11:53.901410Z"
    }
   },
   "outputs": [],
   "source": [
    "Dufal_water = {\n",
    "  \"nonpolar\": {\n",
    "    \"kind\": \"SAFT-VR-Mie\",\n",
    "    \"model\": {\n",
    "      \"coeffs\": [\n",
    "        {\n",
    "          \"name\": \"Water\",\n",
    "          \"BibTeXKey\": \"Dufal-2015\",\n",
    "          \"m\": 1.0,\n",
    "          \"sigma_Angstrom\": 3.0555,\n",
    "          \"epsilon_over_k\": 418.00,\n",
    "          \"lambda_r\": 35.823,\n",
    "          \"lambda_a\": 6.0\n",
    "        }\n",
    "      ]\n",
    "    }\n",
    "  },\n",
    "  \"association\": {\n",
    "    \"kind\": \"Dufal\",\n",
    "    \"model\": {\n",
    "      \"sigma / m\": [3.0555e-10],\n",
    "      \"epsilon / J/mol\": [3475.445374388054],\n",
    "      \"lambda_r\": [35.823],\n",
    "      \"epsilon_HB / J/mol\": [13303.140189045183],\n",
    "      \"K_HB / m^3\": [496.66e-30],\n",
    "      \"kmat\": [[0.0]],\n",
    "      \"Delta_rule\": \"Dufal\",\n",
    "      \"molecule_sites\": [[\"e\",\"e\",\"H\",\"H\"]]\n",
    "    }\n",
    "  }\n",
    "}\n",
    "\n",
    "Dufal_methanol = {\n",
    "  \"nonpolar\": {\n",
    "    \"kind\": \"SAFT-VR-Mie\",\n",
    "    \"model\": {\n",
    "      \"coeffs\": [\n",
    "        {\n",
    "          \"name\": \"Methanol\",\n",
    "          \"BibTeXKey\": \"Dufal-2015\",\n",
    "          \"m\": 1.7989,\n",
    "          \"sigma_Angstrom\": 3.1425,\n",
    "          \"epsilon_over_k\": 276.96,\n",
    "          \"lambda_r\": 16.968,\n",
    "          \"lambda_a\": 6.0\n",
    "        }\n",
    "      ]\n",
    "    }\n",
    "  },\n",
    "  \"association\": {\n",
    "    \"kind\": \"Dufal\",\n",
    "    \"model\": {\n",
    "      \"sigma / m\": [3.1425e-10],\n",
    "      \"epsilon / J/mol\": [276.96*8.31446261815324],\n",
    "      \"lambda_r\": [16.968],\n",
    "      \"epsilon_HB / J/mol\": [2156.0*8.31446261815324],\n",
    "      \"K_HB / m^3\": [222.18e-30],\n",
    "      \"kmat\": [[0.0]],\n",
    "      \"Delta_rule\": \"Dufal\",\n",
    "      \"molecule_sites\": [[\"e\",\"H\",\"H\"]]\n",
    "    }\n",
    "  }\n",
    "}\n",
    "\n",
    "Dufal_ammonia = {\n",
    "  \"nonpolar\": {\n",
    "    \"kind\": \"SAFT-VR-Mie\",\n",
    "    \"model\": {\n",
    "      \"coeffs\": [\n",
    "        {\n",
    "          \"name\": \"Ammonia\",\n",
    "          \"BibTeXKey\": \"Dufal-2015\",\n",
    "          \"m\": 1.0,\n",
    "          \"sigma_Angstrom\": 3.3309,\n",
    "          \"epsilon_over_k\": 323.70,\n",
    "          \"lambda_r\": 36.832,\n",
    "          \"lambda_a\": 6.0\n",
    "        }\n",
    "      ]\n",
    "    }\n",
    "  },\n",
    "  \"association\": {\n",
    "    \"kind\": \"Dufal\",\n",
    "    \"model\": {\n",
    "      \"sigma / m\": [3.3309e-10],\n",
    "      \"epsilon / J/mol\": [323.70*8.31446261815324],\n",
    "      \"lambda_r\": [36.832],\n",
    "      \"epsilon_HB / J/mol\": [1105.0*8.31446261815324],\n",
    "      \"K_HB / m^3\": [560.73e-30],\n",
    "      \"kmat\": [[0.0]],\n",
    "      \"Delta_rule\": \"Dufal\",\n",
    "      \"molecule_sites\": [[\"e\",\"H\",\"H\",\"H\"]]\n",
    "    }\n",
    "  }\n",
    "}\n",
    "\n",
    "# Tabulated values from Dufal for non-bonded fraction for water from the Mie kernel (Eq. 30):\n",
    "# Note the last \"liquid\" point in Dufal is actually for the vapor phase\n",
    "TL_Dufal = [252.10,270.00,290.00,300.00,310.00,314.14,330.00,348.85,350.00,370.00,388.70,390.00,400.00,410.00,416.67,430.00,450.00,450.00,470.00,476.76,490.00,500.00,503.19,510.00,530.00,550.00,556.52,570.00,579.71,590.00,600.00,610.00,620.00]\n",
    "XL_A_Dufal = [0.060,0.073,0.089,0.098,0.106,0.110,0.124,0.142,0.143,0.162,0.180,0.182,0.192,0.202,0.209,0.223,0.245,0.245,0.267,0.275,0.290,0.302,0.306,0.314,0.339,0.364,0.373,0.391,0.405,0.420,0.435,0.451,0.468]\n",
    "TV_Dufal = [300.00,314.14,348.85,350.00,370.00,388.70,390.00,400.00,410.00,416.67,430.00,450.00,450.00,470.00,476.76,490.00,500.00,510.00,530.00,550.00,570.00,590.00,600.00,610.00,620.00,638.60]\n",
    "XV_A_Dufal = [0.998,0.997,0.992,0.992,0.988,0.982,0.982,0.979,0.975,0.973,0.967,0.958,0.958,0.947,0.943,0.935,0.928,0.921,0.906,0.890,0.872,0.852,0.841,0.829,0.816,0.789]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "17d800f3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-10-15T23:11:53.903100Z",
     "iopub.status.busy": "2025-10-15T23:11:53.902980Z",
     "iopub.status.idle": "2025-10-15T23:11:54.640007Z",
     "shell.execute_reply": "2025-10-15T23:11:54.639552Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = teqp.make_model({\"kind\":\"genericSAFT\", \"model\":Dufal_water})\n",
    "anc = teqp.build_ancillaries(model, 676, 7000, 290)\n",
    "z = np.array([1.0])\n",
    "for T in np.linspace(290, 678):\n",
    "    rhoL, rhoV = model.pure_VLE_T(T, anc.rhoL(T), anc.rhoV(T), 10)\n",
    "    X_A = model.get_assoc_calcs(T, rhoL, z)['X_A']\n",
    "    plt.plot(T, X_A[0],'o')\n",
    "    X_A = model.get_assoc_calcs(T, rhoV, z)['X_A']\n",
    "    plt.plot(T, X_A[0],'x')\n",
    "\n",
    "plt.plot(TL_Dufal, XL_A_Dufal)\n",
    "plt.plot(TV_Dufal, XV_A_Dufal)\n",
    "plt.gca().set(xlabel='$T$ / K', ylabel='$X_A$ (non-bonded site fraction)');\n",
    "\n",
    "plt.figure()\n",
    "Ts = np.linspace(290, 500)\n",
    "for T in Ts:\n",
    "    rhoL, rhoV = model.pure_VLE_T(T, anc.rhoL(T), anc.rhoV(T), 10)\n",
    "    plt.plot(rhoL, T,'o')\n",
    "    plt.plot(rhoV, T,'x')\n",
    "    \n",
    "plt.plot(CP.PropsSI('Dmolar','T',Ts,'Q',0,'Water'), Ts)\n",
    "plt.plot(CP.PropsSI('Dmolar','T',Ts,'Q',1,'Water'), Ts)\n",
    "plt.title('Water')\n",
    "plt.gca().set(xlabel=r'$\\rho$ / mol/m$^3$', ylabel=r'$T$ / K');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6d6b5fa6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-10-15T23:11:54.641508Z",
     "iopub.status.busy": "2025-10-15T23:11:54.641361Z",
     "iopub.status.idle": "2025-10-15T23:11:55.216875Z",
     "shell.execute_reply": "2025-10-15T23:11:55.216316Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = teqp.make_model({\"kind\":\"genericSAFT\", \"model\": Dufal_methanol})\n",
    "anc = teqp.build_ancillaries(model, 520, 5000, 290)\n",
    "z = np.array([1.0])\n",
    "\n",
    "Ts = np.linspace(290, 500)\n",
    "for T in Ts:\n",
    "    rhoL, rhoV = model.pure_VLE_T(T, anc.rhoL(T), anc.rhoV(T), 10)\n",
    "    plt.plot(rhoL, T,'ko')\n",
    "    plt.plot(rhoV, T,'kx')\n",
    "    \n",
    "plt.plot(CP.PropsSI('Dmolar','T',Ts,'Q',0,'Methanol'), Ts)\n",
    "plt.plot(CP.PropsSI('Dmolar','T',Ts,'Q',1,'Methanol'), Ts)\n",
    "plt.title('Methanol')\n",
    "plt.gca().set(xlabel=r'$\\rho$ / mol/m$^3$', ylabel=r'$T$ / K');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "92d77d30",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-10-15T23:11:55.218526Z",
     "iopub.status.busy": "2025-10-15T23:11:55.218376Z",
     "iopub.status.idle": "2025-10-15T23:11:55.742119Z",
     "shell.execute_reply": "2025-10-15T23:11:55.741305Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = teqp.make_model({\"kind\":\"genericSAFT\", \"model\": Dufal_ammonia})\n",
    "anc = teqp.build_ancillaries(model, 520, 5000, 290)\n",
    "z = np.array([1.0])\n",
    "\n",
    "Ts = np.linspace(290, 380)\n",
    "for T in Ts:\n",
    "    rhoL, rhoV = model.pure_VLE_T(T, anc.rhoL(T), anc.rhoV(T), 10)\n",
    "    plt.plot(rhoL, T,'ko')\n",
    "    plt.plot(rhoV, T,'kx')\n",
    "    \n",
    "plt.plot(CP.PropsSI('Dmolar','T',Ts,'Q',0,'Ammonia'), Ts)\n",
    "plt.plot(CP.PropsSI('Dmolar','T',Ts,'Q',1,'Ammonia'), Ts)\n",
    "plt.title('Ammonia')\n",
    "plt.gca().set(xlabel=r'$\\rho$ / mol/m$^3$', ylabel=r'$T$ / K');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ed5cb8d6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-10-15T23:11:55.743486Z",
     "iopub.status.busy": "2025-10-15T23:11:55.743335Z",
     "iopub.status.idle": "2025-10-15T23:11:56.088516Z",
     "shell.execute_reply": "2025-10-15T23:11:56.088040Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3009031150143573,\n",
       "   0.9532863025715441,\n",
       "   -0.026505253934592687,\n",
       "   0.00011053503374651266],\n",
       "  'dt': 1e-05,\n",
       "  'pL / Pa': -1348980.0114703327,\n",
       "  'pV / Pa': 850585.1099931961,\n",
       "  'rhoL / mol/m^3': [35515.45114721886, 0.0],\n",
       "  'rhoV / mol/m^3': [487.03357583366795, 0.0],\n",
       "  't': 0.0,\n",
       "  'xL_0 / mole frac.': 1.0,\n",
       "  'xV_0 / mole frac.': 1.0},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.31109872729343796,\n",
       "   0.9503192359545914,\n",
       "   -0.010532216621598695,\n",
       "   6.375045523910206e-05],\n",
       "  'dt': 4.5e-05,\n",
       "  'pL / Pa': 530725.4885882735,\n",
       "  'pV / Pa': 530725.4885943136,\n",
       "  'rhoL / mol/m^3': [35626.35313673362, 9.532863025498762e-06],\n",
       "  'rhoV / mol/m^3': [262.742533599565, 6.394949560729698e-10],\n",
       "  't': 1e-05,\n",
       "  'xL_0 / mole frac.': 0.9999999997324209,\n",
       "  'xV_0 / mole frac.': 0.9999999999975661},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3110987287489849,\n",
       "   0.9503192354218599,\n",
       "   -0.010532221696140152,\n",
       "   6.375045478498421e-05],\n",
       "  'dt': 0.00020250000000000002,\n",
       "  'pL / Pa': 530725.4878200889,\n",
       "  'pV / Pa': 530725.4878138459,\n",
       "  'rhoL / mol/m^3': [35626.35312273521, 5.2297228631004934e-05],\n",
       "  'rhoV / mol/m^3': [262.74253312561655, 3.5082654315836237e-09],\n",
       "  't': 5.5e-05,\n",
       "  'xL_0 / mole frac.': 0.9999999985320634,\n",
       "  'xV_0 / mole frac.': 0.9999999999866476},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3110987353738346,\n",
       "   0.950319233256463,\n",
       "   -0.010532221395738667,\n",
       "   6.375045275703689e-05],\n",
       "  'dt': 0.0009112500000000001,\n",
       "  'pL / Pa': 530725.4843104482,\n",
       "  'pV / Pa': 530725.4843017324,\n",
       "  'rhoL / mol/m^3': [35626.35305973835, 0.0002447368735843725],\n",
       "  'rhoV / mol/m^3': [262.7425309928432, 1.641773232019293e-08],\n",
       "  't': 0.0002575,\n",
       "  'xL_0 / mole frac.': 0.999999993130454,\n",
       "  'xV_0 / mole frac.': 0.999999999937514},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3110987651829838,\n",
       "   0.9503192235059291,\n",
       "   -0.010532220686610062,\n",
       "   6.375044363083975e-05],\n",
       "  'dt': 0.004100625,\n",
       "  'pL / Pa': 530725.4684955478,\n",
       "  'pV / Pa': 530725.4684972229,\n",
       "  'rhoL / mol/m^3': [35626.352776249725, 0.001110715270445871],\n",
       "  'rhoV / mol/m^3': [262.74252139536407, 7.451032823686246e-08],\n",
       "  't': 0.00116875,\n",
       "  'xL_0 / mole frac.': 0.9999999688232124,\n",
       "  'xV_0 / mole frac.': 0.9999999997164131},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.31109889932897994,\n",
       "   0.9503191796398444,\n",
       "   -0.010532216330687407,\n",
       "   6.375040256373021e-05],\n",
       "  'dt': 0.0184528125,\n",
       "  'pL / Pa': 530725.397386983,\n",
       "  'pV / Pa': 530725.3973768814,\n",
       "  'rhoL / mol/m^3': [35626.35150054978, 0.005007617946395683],\n",
       "  'rhoV / mol/m^3': [262.74247820668023, 3.359269069501529e-07],\n",
       "  't': 0.005269375,\n",
       "  'xL_0 / mole frac.': 0.9999998594406379,\n",
       "  'xV_0 / mole frac.': 0.9999999987214594},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3110995029837769,\n",
       "   0.9503189822425291,\n",
       "   -0.010532196764242713,\n",
       "   6.375021776229736e-05],\n",
       "  'dt': 0.08303765625,\n",
       "  'pL / Pa': 530725.0773146152,\n",
       "  'pV / Pa': 530725.0773356715,\n",
       "  'rhoL / mol/m^3': [35626.345759893484, 0.02254367776217374],\n",
       "  'rhoV / mol/m^3': [262.7422838578328, 1.5122994272035906e-06],\n",
       "  't': 0.0237221875,\n",
       "  'xL_0 / mole frac.': 0.9999993672193144,\n",
       "  'xV_0 / mole frac.': 0.9999999942441719},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3111022194027503,\n",
       "   0.95031809395849,\n",
       "   -0.01053210870630424,\n",
       "   6.374938616736466e-05],\n",
       "  'dt': 0.373669453125,\n",
       "  'pL / Pa': 530723.6371623278,\n",
       "  'pV / Pa': 530723.6371566487,\n",
       "  'rhoL / mol/m^3': [35626.319926807926, 0.10145590185693522],\n",
       "  'rhoV / mol/m^3': [262.74140929255907, 6.805933568635144e-06],\n",
       "  't': 0.10675984375,\n",
       "  'xL_0 / mole frac.': 0.9999971522286573,\n",
       "  'xV_0 / mole frac.': 0.9999999740964569},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3111144427047333,\n",
       "   0.9503140967646987,\n",
       "   -0.01053171245862241,\n",
       "   6.37456442239256e-05],\n",
       "  'dt': 1.6815125390625,\n",
       "  'pL / Pa': 530717.1564760655,\n",
       "  'pV / Pa': 530717.1564786778,\n",
       "  'rhoL / mol/m^3': [35626.20367512748, 0.456559997502588],\n",
       "  'rhoV / mol/m^3': [262.73747383929725, 3.062643269797513e-05],\n",
       "  't': 0.480429296875,\n",
       "  'xL_0 / mole frac.': 0.9999871848779961,\n",
       "  'xV_0 / mole frac.': 0.9999998834333425},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3111694357864459,\n",
       "   0.950296111088445,\n",
       "   -0.010529929779497732,\n",
       "   6.372881021020651e-05],\n",
       "  'dt': 5.2777905117345005,\n",
       "  'pL / Pa': 530687.9960161746,\n",
       "  'pV / Pa': 530687.9960124324,\n",
       "  'rhoL / mol/m^3': [35625.680486052624, 2.054509945307028],\n",
       "  'rhoV / mol/m^3': [262.7197661316354, 0.0001378013783841202],\n",
       "  't': 2.1619418359375002,\n",
       "  'xL_0 / mole frac.': 0.9999423339725206,\n",
       "  'xV_0 / mole frac.': 0.9999994754817723},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.31134191836451947,\n",
       "   0.9502396771874071,\n",
       "   -0.010524339087906304,\n",
       "   6.367602326602922e-05],\n",
       "  'dt': 11.293354277652224,\n",
       "  'pL / Pa': 530596.4970624149,\n",
       "  'pV / Pa': 530596.49704234,\n",
       "  'rhoL / mol/m^3': [35624.037743711626, 7.069824808594325],\n",
       "  'rhoV / mol/m^3': [262.6642061245047, 0.00047400935551993517],\n",
       "  't': 7.439732347672001,\n",
       "  'xL_0 / mole frac.': 0.9998015827940515,\n",
       "  'xV_0 / mole frac.': 0.9999981953822065},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.31171035841668493,\n",
       "   0.9501190124752473,\n",
       "   -0.010512399750116204,\n",
       "   6.356332582580064e-05],\n",
       "  'dt': 20.219295337907475,\n",
       "  'pL / Pa': 530400.8483027518,\n",
       "  'pV / Pa': 530400.8483113195,\n",
       "  'rhoL / mol/m^3': [35620.51956784696, 17.800536659241242],\n",
       "  'rhoV / mol/m^3': [262.54541848241206, 0.0011924885519618762],\n",
       "  't': 18.733086625324226,\n",
       "  'xL_0 / mole frac.': 0.9995005225665227,\n",
       "  'xV_0 / mole frac.': 0.999995457992973},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.31236784535778556,\n",
       "   0.9499032908210953,\n",
       "   -0.010491103802349255,\n",
       "   6.336242141344015e-05],\n",
       "  'dt': 32.05406109192583,\n",
       "  'pL / Pa': 530051.0387646854,\n",
       "  'pV / Pa': 530051.0387380088,\n",
       "  'rhoL / mol/m^3': [35614.21035243601, 37.00909203195248],\n",
       "  'rhoV / mol/m^3': [262.33308063405644, 0.002475661269434341],\n",
       "  't': 38.9523819632317,\n",
       "  'xL_0 / mole frac.': 0.9989619123101919,\n",
       "  'xV_0 / mole frac.': 0.9999905629976188},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.31340453699814785,\n",
       "   0.9495621263658921,\n",
       "   -0.010457551608343767,\n",
       "   6.304618299002517e-05],\n",
       "  'dt': 46.77777988037518,\n",
       "  'pL / Pa': 529497.7195792794,\n",
       "  'pV / Pa': 529497.7196046263,\n",
       "  'rhoL / mol/m^3': [35604.181060955816, 67.45187959577942],\n",
       "  'rhoV / mol/m^3': [261.9973365749719, 0.00450160846417981],\n",
       "  't': 71.00644305515753,\n",
       "  'xL_0 / mole frac.': 0.9981090890986631,\n",
       "  'xV_0 / mole frac.': 0.9999828184088502},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3149051477799579,\n",
       "   0.9490660650485994,\n",
       "   -0.010409042097751927,\n",
       "   6.258959691875612e-05],\n",
       "  'dt': 64.35837108709012,\n",
       "  'pL / Pa': 528692.9495015144,\n",
       "  'pV / Pa': 528692.949511752,\n",
       "  'rhoL / mol/m^3': [35589.48553843193, 111.85867700851091],\n",
       "  'rhoV / mol/m^3': [261.5092922019919, 0.007440067314551471],\n",
       "  't': 117.78422293553271,\n",
       "  'xL_0 / mole frac.': 0.9968668216991076,\n",
       "  'xV_0 / mole frac.': 0.9999715503201266},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3169462807598973,\n",
       "   0.9483870887527648,\n",
       "   -0.010343169685654244,\n",
       "   6.19707783921092e-05],\n",
       "  'dt': 84.80807950481592,\n",
       "  'pL / Pa': 527590.9216072261,\n",
       "  'pV / Pa': 527590.9216132702,\n",
       "  'rhoL / mol/m^3': [35569.15292957848, 172.9171522275068],\n",
       "  'rhoV / mol/m^3': [260.84150827902755, 0.011448261108294243],\n",
       "  't': 182.14259402262283,\n",
       "  'xL_0 / mole frac.': 0.9951620834542673,\n",
       "  'xV_0 / mole frac.': 0.9999561122048983},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3195953290461591,\n",
       "   0.9474986005168632,\n",
       "   -0.010257871538898754,\n",
       "   6.117151516063689e-05],\n",
       "  'dt': 108.2065363028577,\n",
       "  'pL / Pa': 526147.7891260535,\n",
       "  'pV / Pa': 526147.7891376888,\n",
       "  'rhoL / mol/m^3': [35542.16067078346, 253.31031427913294],\n",
       "  'rhoV / mol/m^3': [259.96795286894064, 0.016669863420093727],\n",
       "  't': 266.95067352743877,\n",
       "  'xL_0 / mole frac.': 0.9929233976447792,\n",
       "  'xV_0 / mole frac.': 0.999935881348501},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3229098929901436,\n",
       "   0.946375266618026,\n",
       "   -0.010151459077644335,\n",
       "   6.017764829482899e-05],\n",
       "  'dt': 134.71777827306167,\n",
       "  'pL / Pa': 524321.169994995,\n",
       "  'pV / Pa': 524321.1700048461,\n",
       "  'rhoL / mol/m^3': [35507.39838710184, 355.7749759791602],\n",
       "  'rhoV / mol/m^3': [258.8637654924597, 0.023234992065452455],\n",
       "  't': 375.15720983029644,\n",
       "  'xL_0 / mole frac.': 0.9900796571352659,\n",
       "  'xV_0 / mole frac.': 0.9999102504489528},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.32693750736908667,\n",
       "   0.9449928092206256,\n",
       "   -0.010022640272707873,\n",
       "   5.89793414726952e-05],\n",
       "  'dt': 164.60568268475006,\n",
       "  'pL / Pa': 522069.448372066,\n",
       "  'pV / Pa': 522069.4483732332,\n",
       "  'rhoL / mol/m^3': [35463.624176795005, 483.1752282585226],\n",
       "  'rhoV / mol/m^3': [257.50490539395713, 0.03126079809831117],\n",
       "  't': 509.8749881033581,\n",
       "  'xL_0 / mole frac.': 0.9865586022606898,\n",
       "  'xV_0 / mole frac.': 0.9998786158908843},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.33171556830214927,\n",
       "   0.9433278067268672,\n",
       "   -0.009870536328391875,\n",
       "   5.757126319217159e-05],\n",
       "  'dt': 198.25242509299477,\n",
       "  'pL / Pa': 519350.9265948534,\n",
       "  'pV / Pa': 519350.9266029825,\n",
       "  'rhoL / mol/m^3': [35409.41304487993, 638.5890166367051],\n",
       "  'rhoV / mol/m^3': [255.86771856214293, 0.04085241912014649],\n",
       "  't': 674.4806707881081,\n",
       "  'xL_0 / mole frac.': 0.9822850371694126,\n",
       "  'xV_0 / mole frac.': 0.9998403632243988},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3372714396833285,\n",
       "   0.9413575228149944,\n",
       "   -0.009694693540779743,\n",
       "   5.5952681178581764e-05],\n",
       "  'dt': 236.1836836727786,\n",
       "  'pL / Pa': 516122.8166497499,\n",
       "  'pV / Pa': 516122.8166443896,\n",
       "  'rhoL / mol/m^3': [35343.095399031896, 825.4101048154494],\n",
       "  'rhoV / mol/m^3': [253.928420690112, 0.05210426368686329],\n",
       "  't': 872.7330958811028,\n",
       "  'xL_0 / mole frac.': 0.9771787610984466,\n",
       "  'xV_0 / mole frac.': 0.999794849373997},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3436227598495491,\n",
       "   0.9390597634074298,\n",
       "   -0.009495089930022167,\n",
       "   5.4127458679543876e-05],\n",
       "  'dt': 279.10501882155313,\n",
       "  'pL / Pa': 512340.01572176814,\n",
       "  'pV / Pa': 512340.0157209673,\n",
       "  'rhoL / mol/m^3': [35262.68179677486, 1047.4709930047038],\n",
       "  'rhoV / mol/m^3': [251.66246879441854, 0.06510170274367937],\n",
       "  't': 1108.9167795538815,\n",
       "  'xL_0 / mole frac.': 0.971152118277521,\n",
       "  'xV_0 / mole frac.': 0.9997413803239149},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.35077799543634824,\n",
       "   0.9364127416392805,\n",
       "   -0.009272135592351108,\n",
       "   5.21039382724843e-05],\n",
       "  'dt': 327.9559440725397,\n",
       "  'pL / Pa': 507953.5643131882,\n",
       "  'pV / Pa': 507953.5643367281,\n",
       "  'rhoL / mol/m^3': [35165.7679125346, 1309.1961821510356],\n",
       "  'rhoV / mol/m^3': [249.0437693090449, 0.07992333731136785],\n",
       "  't': 1388.0217983754346,\n",
       "  'xL_0 / mole frac.': 0.964106991887573,\n",
       "  'xV_0 / mole frac.': 0.9996791821104514},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3587373153874435,\n",
       "   0.9333949085860429,\n",
       "   -0.00902666520824713,\n",
       "   4.989469660316371e-05],\n",
       "  'dt': 383.9925791243792,\n",
       "  'pL / Pa': 502908.6190921813,\n",
       "  'pV / Pa': 502908.6190713023,\n",
       "  'rhoL / mol/m^3': [35049.41032651237, 1615.8007523074207],\n",
       "  'rhoV / mol/m^3': [246.0436363641398, 0.09664412676029603],\n",
       "  't': 1715.9777424479744,\n",
       "  'xL_0 / mole frac.': 0.9559309573089896,\n",
       "  'xV_0 / mole frac.': 0.9996073615965353},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.36749389985627917,\n",
       "   0.9299846746614517,\n",
       "   -0.008759920403315455,\n",
       "   4.751614980652829e-05],\n",
       "  'dt': 448.9185032596913,\n",
       "  'pL / Pa': 497141.6639637947,\n",
       "  'pV / Pa': 497141.66393197584,\n",
       "  'rhoL / mol/m^3': [34909.95809230483, 1973.5585359240806],\n",
       "  'rhoV / mol/m^3': [242.62935769177275, 0.11533984787521437],\n",
       "  't': 2099.9703215723534,\n",
       "  'xL_0 / mole frac.': 0.9464921266641476,\n",
       "  'xV_0 / mole frac.': 0.9995248512159307},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3770358786050042,\n",
       "   0.9261598910064105,\n",
       "   -0.00847351825560286,\n",
       "   4.4987980666992797e-05],\n",
       "  'dt': 525.1019279629584,\n",
       "  'pL / Pa': 490576.48795980215,\n",
       "  'pV / Pa': 490576.4879610026,\n",
       "  'rhoL / mol/m^3': [34742.81490748277, 2390.1809627941643],\n",
       "  'rhoV / mol/m^3': [238.76212407520765, 0.13609369133517055],\n",
       "  't': 2548.8888248320445,\n",
       "  'xL_0 / mole frac.': 0.9356318846143147,\n",
       "  'xV_0 / mole frac.': 0.9994303277244698},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.3873492637490114,\n",
       "   0.9218968526894107,\n",
       "   -0.00816939914749836,\n",
       "   4.233233651864648e-05],\n",
       "  'dt': 615.9597173718626,\n",
       "  'pL / Pa': 483118.0735966861,\n",
       "  'pV / Pa': 483118.07357594225,\n",
       "  'rhoL / mol/m^3': [34542.087159904426, 2875.3803659980517],\n",
       "  'rhoV / mol/m^3': [234.3938792016013, 0.1590064723518254],\n",
       "  't': 3073.9907527950027,\n",
       "  'xL_0 / mole frac.': 0.9231540626311079,\n",
       "  'xV_0 / mole frac.': 0.9993220869063497},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.39842263159141544,\n",
       "   0.9171683524054354,\n",
       "   -0.007849739847433762,\n",
       "   3.957269140624046e-05],\n",
       "  'dt': 726.6967102180334,\n",
       "  'pL / Pa': 474642.72560726106,\n",
       "  'pV / Pa': 474642.7255858295,\n",
       "  'rhoL / mol/m^3': [34300.032133079105, 3441.760829744836],\n",
       "  'rhoV / mol/m^3': [229.4622219563978, 0.18421338800238815],\n",
       "  't': 3689.950470166865,\n",
       "  'xL_0 / mole frac.': 0.9088077020311407,\n",
       "  'xV_0 / mole frac.': 0.9991978391141751},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.41025527989717603,\n",
       "   0.9119397467476241,\n",
       "   -0.007516799127303844,\n",
       "   3.673212135999947e-05],\n",
       "  'dt': 865.9077476106264,\n",
       "  'pL / Pa': 464980.8547209501,\n",
       "  'pV / Pa': 464980.8547601013,\n",
       "  'rhoL / mol/m^3': [34006.12542716575, 4106.342235184902],\n",
       "  'rhoV / mol/m^3': [223.88148960566866, 0.21191375023227818],\n",
       "  't': 4416.647180384899,\n",
       "  'xL_0 / mole frac.': 0.8922572458030225,\n",
       "  'xV_0 / mole frac.': 0.9990543507882929},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.42287336502017114,\n",
       "   0.9061603995379862,\n",
       "   -0.007172609091803313,\n",
       "   3.3830314941563436e-05],\n",
       "  'dt': 1049.7038463535232,\n",
       "  'pL / Pa': 453883.6396552026,\n",
       "  'pV / Pa': 453883.63964834786,\n",
       "  'rhoL / mol/m^3': [33645.3122460024, 4893.462071944016],\n",
       "  'rhoV / mol/m^3': [217.52541820152535, 0.2424298133356311],\n",
       "  't': 5282.554927995526,\n",
       "  'xL_0 / mole frac.': 0.8730249687866886,\n",
       "  'xV_0 / mole frac.': 0.9988867511180113},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.43636811765601796,\n",
       "   0.8997423945778684,\n",
       "   -0.006818235785698247,\n",
       "   3.087713674926759e-05],\n",
       "  'dt': 1315.7974418357242,\n",
       "  'pL / Pa': 440947.6911216527,\n",
       "  'pV / Pa': 440947.69114229275,\n",
       "  'rhoL / mol/m^3': [33194.18050173683, 5841.240509616473],\n",
       "  'rhoV / mol/m^3': [210.1877295865151, 0.2763434459919454],\n",
       "  't': 6332.258774349049,\n",
       "  'xL_0 / mole frac.': 0.850360509550606,\n",
       "  'xV_0 / mole frac.': 0.9986869804332388},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.45101552172260045,\n",
       "   0.8924927884947415,\n",
       "   -0.0064514242120567835,\n",
       "   2.7853315742402383e-05],\n",
       "  'dt': 1810.2288675274342,\n",
       "  'pL / Pa': 425394.7748477906,\n",
       "  'pV / Pa': 425394.7748712937,\n",
       "  'rhoL / mol/m^3': [32610.123462539377, 7020.259459503709],\n",
       "  'rhoV / mol/m^3': [201.4659990951728, 0.31490978753200344],\n",
       "  't': 7648.056216184774,\n",
       "  'xL_0 / mole frac.': 0.8228566331717445,\n",
       "  'xV_0 / mole frac.': 0.9984393479577641},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.46793938060577095,\n",
       "   0.8837398337385057,\n",
       "   -0.00605324184321827,\n",
       "   2.4603113066694497e-05],\n",
       "  'dt': 2459.4452407621616,\n",
       "  'pL / Pa': 404948.6246905178,\n",
       "  'pV / Pa': 404948.6246820389,\n",
       "  'rhoL / mol/m^3': [31777.86814093376, 8627.7583937791],\n",
       "  'rhoV / mol/m^3': [190.16385662179917, 0.3622535668432215],\n",
       "  't': 9458.285083712208,\n",
       "  'xL_0 / mole frac.': 0.7864713621909337,\n",
       "  'xV_0 / mole frac.': 0.9980986670725365},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.48476328085003006,\n",
       "   0.8746269025427289,\n",
       "   -0.005687039625699997,\n",
       "   2.1640757729143115e-05],\n",
       "  'dt': 2206.2874147800967,\n",
       "  'pL / Pa': 381141.33540967107,\n",
       "  'pV / Pa': 381141.3353808051,\n",
       "  'rhoL / mol/m^3': [30726.240805157922, 10567.20896686408],\n",
       "  'rhoV / mol/m^3': [177.23257381773493, 0.4131008397780481],\n",
       "  't': 11664.572498492304,\n",
       "  'xL_0 / mole frac.': 0.7440947892412758,\n",
       "  'xV_0 / mole frac.': 0.9976745798028887},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.4984987778596882,\n",
       "   0.8668735172203932,\n",
       "   -0.00541047473034949,\n",
       "   1.943023662648309e-05],\n",
       "  'dt': 2321.0264320528586,\n",
       "  'pL / Pa': 358209.79509951174,\n",
       "  'pV / Pa': 358209.795105216,\n",
       "  'rhoL / mol/m^3': [29641.07565266955, 12488.112495818637],\n",
       "  'rhoV / mol/m^3': [165.00381231099806, 0.45829443782398777],\n",
       "  't': 13870.859913272401,\n",
       "  'xL_0 / mole frac.': 0.7035757619680888,\n",
       "  'xV_0 / mole frac.': 0.9972302151421311},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5104684599811992,\n",
       "   0.8598808493704716,\n",
       "   -0.005184200825426099,\n",
       "   1.766749921251836e-05],\n",
       "  'dt': 2523.6579591870377,\n",
       "  'pL / Pa': 334752.5148013532,\n",
       "  'pV / Pa': 334752.51479479263,\n",
       "  'rhoL / mol/m^3': [28469.729496492895, 14491.827733172784],\n",
       "  'rhoV / mol/m^3': [152.71892297899666, 0.50125314305867],\n",
       "  't': 16191.88634532526,\n",
       "  'xL_0 / mole frac.': 0.662679179534816,\n",
       "  'xV_0 / mole frac.': 0.9967285434872534},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5213013565024214,\n",
       "   0.8533580870020493,\n",
       "   -0.004987062647628024,\n",
       "   1.6219954851094346e-05],\n",
       "  'dt': 2771.7257970835303,\n",
       "  'pL / Pa': 309799.3171932399,\n",
       "  'pV / Pa': 309799.31721945724,\n",
       "  'rhoL / mol/m^3': [27167.396150654396, 16653.430851867437],\n",
       "  'rhoV / mol/m^3': [139.89292776711616, 0.5439256459113281],\n",
       "  't': 18715.544304512296,\n",
       "  'xL_0 / mole frac.': 0.6199653910933937,\n",
       "  'xV_0 / mole frac.': 0.9961269023572351},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5312095080671894,\n",
       "   0.8472268671963656,\n",
       "   -0.004805602279398599,\n",
       "   1.5045884341440156e-05],\n",
       "  'dt': 3068.9101490427965,\n",
       "  'pL / Pa': 282878.16349698603,\n",
       "  'pV / Pa': 282878.16347593884,\n",
       "  'rhoL / mol/m^3': [25708.34129075812, 19009.985952968265],\n",
       "  'rhoV / mol/m^3': [126.32777166410042, 0.5871684609990446],\n",
       "  't': 21487.270101595826,\n",
       "  'xL_0 / mole frac.': 0.5748949675742799,\n",
       "  'xV_0 / mole frac.': 0.9953735276522979},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.540336662731652,\n",
       "   0.841436211745165,\n",
       "   -0.004625178064250846,\n",
       "   1.4136510118179204e-05],\n",
       "  'dt': 3452.0033673988805,\n",
       "  'pL / Pa': 253545.28763389587,\n",
       "  'pV / Pa': 253545.28759547582,\n",
       "  'rhoL / mol/m^3': [24063.670912221663, 21600.92552998882],\n",
       "  'rhoV / mol/m^3': [111.8596745017751, 0.6318537775909859],\n",
       "  't': 24556.180250638623,\n",
       "  'xL_0 / mole frac.': 0.5269655879402054,\n",
       "  'xV_0 / mole frac.': 0.9943830990008259},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5488569384171296,\n",
       "   0.8359045847560193,\n",
       "   -0.0044256245429127655,\n",
       "   1.3514716090899735e-05],\n",
       "  'dt': 3588.80797336189,\n",
       "  'pL / Pa': 221126.4276919216,\n",
       "  'pV / Pa': 221126.42768445628,\n",
       "  'rhoL / mol/m^3': [22183.26016050455, 24495.754740354692],\n",
       "  'rhoV / mol/m^3': [96.23612551347789, 0.6794664580814603],\n",
       "  't': 28008.183618037503,\n",
       "  'xL_0 / mole frac.': 0.4752298266709183,\n",
       "  'xV_0 / mole frac.': 0.9929890903593628},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5544805551145389,\n",
       "   0.8321857692839582,\n",
       "   -0.004261364148907681,\n",
       "   1.3293987312150658e-05],\n",
       "  'dt': 2933.0738963534163,\n",
       "  'pL / Pa': 196495.4253091663,\n",
       "  'pV / Pa': 196495.4253299148,\n",
       "  'rhoL / mol/m^3': [20707.463176092035, 26726.6015965729],\n",
       "  'rhoV / mol/m^3': [84.61502342792586, 0.7152717963763382],\n",
       "  't': 30683.03250867915,\n",
       "  'xL_0 / mole frac.': 0.436552576198893,\n",
       "  'xV_0 / mole frac.': 0.9916176101993301},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5590691963034844,\n",
       "   0.8291108859905518,\n",
       "   -0.004095399862930065,\n",
       "   1.3285368425688106e-05],\n",
       "  'dt': 2552.654271119634,\n",
       "  'pL / Pa': 174249.54183493555,\n",
       "  'pV / Pa': 174249.54185104975,\n",
       "  'rhoL / mol/m^3': [19333.154199314868, 28776.699848563694],\n",
       "  'rhoV / mol/m^3': [74.29877521089828, 0.7480341834772921],\n",
       "  't': 33151.17957230288,\n",
       "  'xL_0 / mole frac.': 0.4018543515030135,\n",
       "  'xV_0 / mole frac.': 0.9900324318979862},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5627997877197536,\n",
       "   0.8265839069520551,\n",
       "   -0.003929825677336374,\n",
       "   1.3439587663380614e-05],\n",
       "  'dt': 2225.746134706672,\n",
       "  'pL / Pa': 154688.08371832967,\n",
       "  'pV / Pa': 154688.08365607422,\n",
       "  'rhoL / mol/m^3': [18084.591254220744, 30619.238374126016],\n",
       "  'rhoV / mol/m^3': [65.36460636209489, 0.7777468228450236],\n",
       "  't': 35376.92570700955,\n",
       "  'xL_0 / mole frac.': 0.37131764364778186,\n",
       "  'xV_0 / mole frac.': 0.9882413191337422},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5662078522799722,\n",
       "   0.8242539868277932,\n",
       "   -0.0037460680557439463,\n",
       "   1.3751776391058605e-05],\n",
       "  'dt': 2225.746134706672,\n",
       "  'pL / Pa': 135714.69520623982,\n",
       "  'pV / Pa': 135714.69513252738,\n",
       "  'rhoL / mol/m^3': [16828.094374759086, 32456.377826371307],\n",
       "  'rhoV / mol/m^3': [56.81868770349085, 0.8079775818862941],\n",
       "  't': 37602.67184171622,\n",
       "  'xL_0 / mole frac.': 0.34144820109026375,\n",
       "  'xV_0 / mole frac.': 0.9859791022457217},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.568630426855959,\n",
       "   0.8225852768820584,\n",
       "   -0.0035916168580053622,\n",
       "   1.410044566813708e-05],\n",
       "  'dt': 1827.9191062504974,\n",
       "  'pL / Pa': 121676.63196499646,\n",
       "  'pV / Pa': 121676.63199552287,\n",
       "  'rhoL / mol/m^3': [15861.911531940847, 33858.42688010262],\n",
       "  'rhoV / mol/m^3': [50.5698423984294, 0.8316763046156722],\n",
       "  't': 39305.40258364675,\n",
       "  'xL_0 / mole frac.': 0.31902259796563875,\n",
       "  'xV_0 / mole frac.': 0.9838200052138459},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5710797678491014,\n",
       "   0.8208874844559244,\n",
       "   -0.0034112174333109377,\n",
       "   1.4582999929112178e-05],\n",
       "  'dt': 1827.9191062504974,\n",
       "  'pL / Pa': 107147.19667124748,\n",
       "  'pV / Pa': 107147.19678234181,\n",
       "  'rhoL / mol/m^3': [14820.240462494312, 35360.480862333374],\n",
       "  'rhoV / mol/m^3': [44.167158485013566, 0.8578746465464361],\n",
       "  't': 41133.321689897246,\n",
       "  'xL_0 / mole frac.': 0.2953373341638629,\n",
       "  'xV_0 / mole frac.': 0.980946718150328},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5729255768224042,\n",
       "   0.8196009247178587,\n",
       "   -0.003256900057296907,\n",
       "   1.5045361597673408e-05],\n",
       "  'dt': 1530.5811627154353,\n",
       "  'pL / Pa': 96085.23140747845,\n",
       "  'pV / Pa': 96085.23146224619,\n",
       "  'rhoL / mol/m^3': [13991.558393493582, 36548.78073284068],\n",
       "  'rhoV / mol/m^3': [39.3357970837063, 0.8793277882479742],\n",
       "  't': 42582.043466376665,\n",
       "  'xL_0 / mole frac.': 0.27683942441540166,\n",
       "  'xV_0 / mole frac.': 0.9781344011476335},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5747982464642494,\n",
       "   0.8182893579672108,\n",
       "   -0.003082572885297835,\n",
       "   1.5608993129366956e-05],\n",
       "  'dt': 1530.5811627154353,\n",
       "  'pL / Pa': 84888.33696313202,\n",
       "  'pV / Pa': 84888.33696551636,\n",
       "  'rhoL / mol/m^3': [13113.206864275073, 37802.237037662606],\n",
       "  'rhoV / mol/m^3': [34.48276228634632, 0.9027776300758239],\n",
       "  't': 44112.6246290921,\n",
       "  'xL_0 / mole frac.': 0.25754870937648894,\n",
       "  'xV_0 / mole frac.': 0.9744873857454736},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.576284316992878,\n",
       "   0.8172440248290407,\n",
       "   -0.0029308035141548255,\n",
       "   1.6125870431254637e-05],\n",
       "  'dt': 1306.6388934396384,\n",
       "  'pL / Pa': 76119.12222644687,\n",
       "  'pV / Pa': 76119.12237624887,\n",
       "  'rhoL / mol/m^3': [12390.702962699213, 38828.809251438026],\n",
       "  'rhoV / mol/m^3': [30.707517517546734, 0.9226917161367534],\n",
       "  't': 45367.9640601762,\n",
       "  'xL_0 / mole frac.': 0.2419137244200311,\n",
       "  'xV_0 / mole frac.': 0.9708287824048232},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5777924022256987,\n",
       "   0.8161790842220344,\n",
       "   -0.0027644401756335554,\n",
       "   1.6710865051459888e-05],\n",
       "  'dt': 1306.6388934396384,\n",
       "  'pL / Pa': 67424.03183662891,\n",
       "  'pV / Pa': 67424.03183428312,\n",
       "  'rhoL / mol/m^3': [11636.718375156595, 39895.95408650465],\n",
       "  'rhoV / mol/m^3': [26.985778773349434, 0.944139751182783],\n",
       "  't': 46674.60295361584,\n",
       "  'xL_0 / mole frac.': 0.22581243741655282,\n",
       "  'xV_0 / mole frac.': 0.9661961150959499},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5790363994090189,\n",
       "   0.8152974877491066,\n",
       "   -0.0026180780033082853,\n",
       "   1.723377832738404e-05],\n",
       "  'dt': 1098.5955261059848,\n",
       "  'pL / Pa': 60480.21010826528,\n",
       "  'pV / Pa': 60480.21032255881,\n",
       "  'rhoL / mol/m^3': [11001.273185363889, 40792.11956218289],\n",
       "  'rhoV / mol/m^3': [24.028640475516468, 0.9627832006939437],\n",
       "  't': 47773.198479721825,\n",
       "  'xL_0 / mole frac.': 0.21240688438748725,\n",
       "  'xV_0 / mole frac.': 0.9614754560137193},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5802645490580942,\n",
       "   0.8144243190678709,\n",
       "   -0.002466029442374356,\n",
       "   1.7777256033330482e-05],\n",
       "  'dt': 1098.5955261059848,\n",
       "  'pL / Pa': 53893.377753704786,\n",
       "  'pV / Pa': 53893.37767332391,\n",
       "  'rhoL / mol/m^3': [10364.470586774372, 41687.3215211975],\n",
       "  'rhoV / mol/m^3': [21.2354451199009, 0.9820132210012396],\n",
       "  't': 48871.79400582781,\n",
       "  'xL_0 / mole frac.': 0.1991184196938923,\n",
       "  'xV_0 / mole frac.': 0.9557999296799238},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5814828756769346,\n",
       "   0.8135553669398291,\n",
       "   -0.0023086536900913013,\n",
       "   1.833090360490782e-05],\n",
       "  'dt': 1098.5955261059848,\n",
       "  'pL / Pa': 47683.3625022769,\n",
       "  'pV / Pa': 47683.362665243796,\n",
       "  'rhoL / mol/m^3': [9726.32471187713, 42581.56693668965],\n",
       "  'rhoV / mol/m^3': [18.612255346043536, 1.0018469985041134],\n",
       "  't': 49970.3895319338,\n",
       "  'xL_0 / mole frac.': 0.18594373440290685,\n",
       "  'xV_0 / mole frac.': 0.9489221081390652},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5824629936847492,\n",
       "   0.8128543020213433,\n",
       "   -0.0021781461556445027,\n",
       "   1.877548702934184e-05],\n",
       "  'dt': 927.893912938704,\n",
       "  'pL / Pa': 42960.57706159353,\n",
       "  'pV / Pa': 42960.57708306347,\n",
       "  'rhoL / mol/m^3': [9210.499328719796, 43302.34225294272],\n",
       "  'rhoV / mol/m^3': [16.62362274657052, 1.0182919317538874],\n",
       "  't': 50856.728594329,\n",
       "  'xL_0 / mole frac.': 0.1753951805178279,\n",
       "  'xV_0 / mole frac.': 0.942279965053623},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5834904846317246,\n",
       "   0.8121174165668954,\n",
       "   -0.0020385492984598035,\n",
       "   1.9227709785354956e-05],\n",
       "  'dt': 927.893912938704,\n",
       "  'pL / Pa': 38301.98604781926,\n",
       "  'pV / Pa': 38301.98588687364,\n",
       "  'rhoL / mol/m^3': [8669.559028395444, 44056.24328139755],\n",
       "  'rhoV / mol/m^3': [14.66708258579654, 1.0359249222914786],\n",
       "  't': 51784.622507267704,\n",
       "  'xL_0 / mole frac.': 0.16442725664859556,\n",
       "  'xV_0 / mole frac.': 0.9340301581236643},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.584401169050494,\n",
       "   0.8114626377499636,\n",
       "   -0.001913312298252704,\n",
       "   1.960450976314546e-05],\n",
       "  'dt': 818.3689242394056,\n",
       "  'pL / Pa': 34442.99701240659,\n",
       "  'pV / Pa': 34442.997054111256,\n",
       "  'rhoL / mol/m^3': [8191.676303595749, 44720.5874022834],\n",
       "  'rhoV / mol/m^3': [13.049921865298842, 1.051816273272517],\n",
       "  't': 52602.99143150711,\n",
       "  'xL_0 / mole frac.': 0.1548162132909381,\n",
       "  'xV_0 / mole frac.': 0.9254122957796552},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5853190607637178,\n",
       "   0.8108010884119935,\n",
       "   -0.0017865437754182344,\n",
       "   1.99485461349882e-05],\n",
       "  'dt': 818.3689242394056,\n",
       "  'pL / Pa': 30823.744954302907,\n",
       "  'pV / Pa': 30823.744899385994,\n",
       "  'rhoL / mol/m^3': [7713.045549640369, 45384.393046053934],\n",
       "  'rhoV / mol/m^3': [11.535910509428605, 1.068003448454717],\n",
       "  't': 53421.36035574651,\n",
       "  'xL_0 / mole frac.': 0.14526210215846125,\n",
       "  'xV_0 / mole frac.': 0.9152641431841324},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5862469722354562,\n",
       "   0.8101306904595141,\n",
       "   -0.0016587677517761067,\n",
       "   2.0245906537262914e-05],\n",
       "  'dt': 818.3689242394056,\n",
       "  'pL / Pa': 27448.577561572194,\n",
       "  'pV / Pa': 27448.57769463682,\n",
       "  'rhoL / mol/m^3': [7233.659708147388, 46047.65381622256],\n",
       "  'rhoV / mol/m^3': [10.126093780763757, 1.0844541031840274],\n",
       "  't': 54239.72927998591,\n",
       "  'xL_0 / mole frac.': 0.13576353940371305,\n",
       "  'xV_0 / mole frac.': 0.9032648435731816},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5870225207044815,\n",
       "   0.8095691126309268,\n",
       "   -0.0015529461496279627,\n",
       "   2.044473096525421e-05],\n",
       "  'dt': 700.2979896392686,\n",
       "  'pL / Pa': 24848.002737656236,\n",
       "  'pV / Pa': 24848.00263228073,\n",
       "  'rhoL / mol/m^3': [6837.26959819625, 46594.87195433976],\n",
       "  'rhoV / mol/m^3': [9.041008036503161, 1.0982041870741426],\n",
       "  't': 54915.43189420111,\n",
       "  'xL_0 / mole frac.': 0.12796173612980966,\n",
       "  'xV_0 / mole frac.': 0.8916874247369609},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5878366900094536,\n",
       "   0.8089783322008688,\n",
       "   -0.001443427900327403,\n",
       "   2.0594342442742822e-05],\n",
       "  'dt': 700.2979896392686,\n",
       "  'pL / Pa': 22331.643412306905,\n",
       "  'pV / Pa': 22331.643465697063,\n",
       "  'rhoL / mol/m^3': [6425.894476773186, 47161.60526110292],\n",
       "  'rhoV / mol/m^3': [7.991853886257107, 1.1125776844197839],\n",
       "  't': 55615.72988384038,\n",
       "  'xL_0 / mole frac.': 0.11991405660285562,\n",
       "  'xV_0 / mole frac.': 0.8777982265248585},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5886624070839611,\n",
       "   0.808377875107855,\n",
       "   -0.0013345766443252026,\n",
       "   2.06738186008332e-05],\n",
       "  'dt': 700.2979896392686,\n",
       "  'pL / Pa': 19997.534533560276,\n",
       "  'pV / Pa': 19997.53448201051,\n",
       "  'rhoL / mol/m^3': [6013.945193514779, 47727.921491631685],\n",
       "  'rhoV / mol/m^3': [7.019193550542683, 1.1270321760059827],\n",
       "  't': 56316.02787347965,\n",
       "  'xL_0 / mole frac.': 0.11190428551260116,\n",
       "  'xV_0 / mole frac.': 0.861649773301399},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.589365086817681,\n",
       "   0.8078658590547146,\n",
       "   -0.0012441007454177069,\n",
       "   2.067633313466759e-05],\n",
       "  'dt': 588.1190181574497,\n",
       "  'pL / Pa': 18177.53083077073,\n",
       "  'pV / Pa': 18177.53098006429,\n",
       "  'rhoL / mol/m^3': [5667.535419477732, 48203.193677733165],\n",
       "  'rhoV / mol/m^3': [6.260961113801422, 1.1391946867163212],\n",
       "  't': 56904.1468916371,\n",
       "  'xL_0 / mole frac.': 0.10520621336404305,\n",
       "  'xV_0 / mole frac.': 0.8460580131790444},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5900759848650045,\n",
       "   0.8073468882062945,\n",
       "   -0.0011548871740025197,\n",
       "   2.0611251305620783e-05],\n",
       "  'dt': 588.1190181574497,\n",
       "  'pL / Pa': 16484.359288066626,\n",
       "  'pV / Pa': 16484.35932466689,\n",
       "  'rhoL / mol/m^3': [5320.709946377388, 48678.16267721589],\n",
       "  'rhoV / mol/m^3': [5.555587697342731, 1.1513392134363094],\n",
       "  't': 57492.26590979455,\n",
       "  'xL_0 / mole frac.': 0.09853372279577285,\n",
       "  'xV_0 / mole frac.': 0.8283358043478998},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5907943244193828,\n",
       "   0.8068214961008987,\n",
       "   -0.0010673538880648045,\n",
       "   2.0470232153995936e-05],\n",
       "  'dt': 588.1190181574497,\n",
       "  'pL / Pa': 14916.260550364852,\n",
       "  'pV / Pa': 14916.260495803293,\n",
       "  'rhoL / mol/m^3': [4973.464138267606, 49152.82453387771],\n",
       "  'rhoV / mol/m^3': [4.902209715743894, 1.1634235342451755],\n",
       "  't': 58080.384927952,\n",
       "  'xL_0 / mole frac.': 0.09188629518629955,\n",
       "  'xV_0 / mole frac.': 0.8081942171087789},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5915186125567283,\n",
       "   0.8062907455482635,\n",
       "   -0.0009819533129046937,\n",
       "   2.0245491113598573e-05],\n",
       "  'dt': 588.1190181574497,\n",
       "  'pL / Pa': 13470.793446987867,\n",
       "  'pV / Pa': 13470.793543688173,\n",
       "  'rhoL / mol/m^3': [4625.794018364758, 49627.17575464354],\n",
       "  'rhoV / mol/m^3': [4.29970757309739, 1.175400658672856],\n",
       "  't': 58668.50394610945,\n",
       "  'xL_0 / mole frac.': 0.08526342498334834,\n",
       "  'xV_0 / mole frac.': 0.7853191920750727},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5921332591737858,\n",
       "   0.8058395445288328,\n",
       "   -0.0009118411990735065,\n",
       "   1.998552888805086e-05],\n",
       "  'dt': 496.7351732153197,\n",
       "  'pL / Pa': 12343.137283086777,\n",
       "  'pV / Pa': 12343.137278281123,\n",
       "  'rhoL / mol/m^3': [4331.813327983636, 50027.57674450092],\n",
       "  'rhoV / mol/m^3': [3.8294339540987687, 1.185395477737439],\n",
       "  't': 59165.23911932477,\n",
       "  'xL_0 / mole frac.': 0.07968840934762986,\n",
       "  'xV_0 / mole frac.': 0.7636219748149241},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5927484331028696,\n",
       "   0.8053872251863022,\n",
       "   -0.0008439042339889487,\n",
       "   1.9658203159165452e-05],\n",
       "  'dt': 496.7351732153197,\n",
       "  'pL / Pa': 11298.375736564398,\n",
       "  'pV / Pa': 11298.375862191437,\n",
       "  'rhoL / mol/m^3': [4037.5270934310056, 50427.7532583139],\n",
       "  'rhoV / mol/m^3': [3.3934602927354747, 1.1952445270945293],\n",
       "  't': 59661.974292540086,\n",
       "  'xL_0 / mole frac.': 0.07413029121223748,\n",
       "  'xV_0 / mole frac.': 0.7395246427860642},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5933614696147844,\n",
       "   0.8049357489890477,\n",
       "   -0.0007784632279775192,\n",
       "   1.9262061156515676e-05],\n",
       "  'dt': 496.7351732153197,\n",
       "  'pL / Pa': 10333.76201364398,\n",
       "  'pV / Pa': 10333.76170494049,\n",
       "  'rhoL / mol/m^3': [3742.9356868037476, 50827.70520677238],\n",
       "  'rhoV / mol/m^3': [2.9906268989822196, 1.2049139144789054],\n",
       "  't': 60158.709465755404,\n",
       "  'xL_0 / mole frac.': 0.06858881672478861,\n",
       "  'xV_0 / mole frac.': 0.7128108227161046},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5939689978789415,\n",
       "   0.8044876113192161,\n",
       "   -0.0007158486142284715,\n",
       "   1.8797588848958302e-05],\n",
       "  'dt': 496.7351732153197,\n",
       "  'pL / Pa': 9446.127312988043,\n",
       "  'pV / Pa': 9446.127204369412,\n",
       "  'rhoL / mol/m^3': [3448.040976475608, 51227.43360529587],\n",
       "  'rhoV / mol/m^3': [2.6196122051581026, 1.2143694859828689],\n",
       "  't': 60655.44463897072,\n",
       "  'xL_0 / mole frac.': 0.06306375944334587,\n",
       "  'xV_0 / mole frac.': 0.6832615323153827},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5944864340857634,\n",
       "   0.8041053650449482,\n",
       "   -0.0006642721170611382,\n",
       "   1.8343348426760118e-05],\n",
       "  'dt': 429.2827633222733,\n",
       "  'pL / Pa': 8738.28260448575,\n",
       "  'pV / Pa': 8738.282535776452,\n",
       "  'rhoL / mol/m^3': [3192.9489500786876, 51572.70401351609],\n",
       "  'rhoV / mol/m^3': [2.3234696061742564, 1.222343161792193],\n",
       "  't': 61084.727402293,\n",
       "  'xL_0 / mole frac.': 0.05830203379846828,\n",
       "  'xV_0 / mole frac.': 0.655271374496963},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5949935408624705,\n",
       "   0.8037302454480025,\n",
       "   -0.0006152768697421899,\n",
       "   1.7843952976915478e-05],\n",
       "  'dt': 429.2827633222733,\n",
       "  'pL / Pa': 8082.675639808178,\n",
       "  'pV / Pa': 8082.675690617889,\n",
       "  'rhoL / mol/m^3': [2937.6368941159735, 51917.81176970256],\n",
       "  'rhoV / mol/m^3': [2.048921700560312, 1.230111981870446],\n",
       "  't': 61514.01016561528,\n",
       "  'xL_0 / mole frac.': 0.05355232644471242,\n",
       "  'xV_0 / mole frac.': 0.6248553381865354},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5954867441579178,\n",
       "   0.8033649316339588,\n",
       "   -0.0005690812790141342,\n",
       "   1.7305058409753774e-05],\n",
       "  'dt': 429.2827633222733,\n",
       "  'pL / Pa': 7476.492448240519,\n",
       "  'pV / Pa': 7476.492468389912,\n",
       "  'rhoL / mol/m^3': [2682.10999490346, 52262.76049664153],\n",
       "  'rhoV / mol/m^3': [1.7948134702063887, 1.2376577022545092],\n",
       "  't': 61943.29292893755,\n",
       "  'xL_0 / mole frac.': 0.04881456578037048,\n",
       "  'xV_0 / mole frac.': 0.5918649735258222},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5959620706143997,\n",
       "   0.8030124118198367,\n",
       "   -0.0005259013629096971,\n",
       "   1.673447729949607e-05],\n",
       "  'dt': 429.2827633222733,\n",
       "  'pL / Pa': 6916.686007678509,\n",
       "  'pV / Pa': 6916.686050498669,\n",
       "  'rhoL / mol/m^3': [2426.375060467933, 52607.5550348037],\n",
       "  'rhoV / mol/m^3': [1.559896587213542, 1.2449649632637534],\n",
       "  't': 62372.57569225983,\n",
       "  'xL_0 / mole frac.': 0.04408871138709392,\n",
       "  'xV_0 / mole frac.': 0.5561403153564206},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5963430331615601,\n",
       "   0.802729558594662,\n",
       "   -0.0004922340469304709,\n",
       "   1.6239848472378133e-05],\n",
       "  'dt': 359.2916336455405,\n",
       "  'pL / Pa': 6481.430113852024,\n",
       "  'pV / Pa': 6481.4299440179775,\n",
       "  'rhoL / mol/m^3': [2212.1819317823333, 52896.01949662502],\n",
       "  'rhoV / mol/m^3': [1.3770623504700419, 1.2508890152860224],\n",
       "  't': 62731.86732590537,\n",
       "  'xL_0 / mole frac.': 0.040142517346646533,\n",
       "  'xV_0 / mole frac.': 0.5240060255353545},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5967058054134059,\n",
       "   0.8024599485732479,\n",
       "   -0.0004609491272396289,\n",
       "   1.5737257076995896e-05],\n",
       "  'dt': 359.2916336455405,\n",
       "  'pL / Pa': 6074.334722459316,\n",
       "  'pV / Pa': 6074.334989852812,\n",
       "  'rhoL / mol/m^3': [1997.8551135894254, 53184.384649636544],\n",
       "  'rhoV / mol/m^3': [1.2059000999186014, 1.2566336885326235],\n",
       "  't': 63091.15895955091,\n",
       "  'xL_0 / mole frac.': 0.03620467603637969,\n",
       "  'xV_0 / mole frac.': 0.48969890507656133},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5970476786624347,\n",
       "   0.8022056359844706,\n",
       "   -0.00043216483421677375,\n",
       "   1.5235007009136372e-05],\n",
       "  'dt': 359.2916336455405,\n",
       "  'pL / Pa': 5693.261197209358,\n",
       "  'pV / Pa': 5693.261236022131,\n",
       "  'rhoL / mol/m^3': [1783.401627541154, 53472.655620456964],\n",
       "  'rhoV / mol/m^3': [1.0455325220901805, 1.2621975816840945],\n",
       "  't': 63450.450593196445,\n",
       "  'xL_0 / mole frac.': 0.03227522404533786,\n",
       "  'xV_0 / mole frac.': 0.45305667260665367},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.597331231263129,\n",
       "   0.8019945341484637,\n",
       "   -0.00040882111206281337,\n",
       "   1.4797332581000133e-05],\n",
       "  'dt': 318.6535554277305,\n",
       "  'pL / Pa': 5375.26165702939,\n",
       "  'pV / Pa': 5375.261526934074,\n",
       "  'rhoL / mol/m^3': [1593.1045673389226, 53728.2472835487],\n",
       "  'rhoV / mol/m^3': [0.9115966147326319, 1.2669822446024368],\n",
       "  't': 63769.104148624174,\n",
       "  'xL_0 / mole frac.': 0.028797281954225446,\n",
       "  'xV_0 / mole frac.': 0.4184363631486185},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5975944261863354,\n",
       "   0.8017984480784519,\n",
       "   -0.00038761242200711037,\n",
       "   1.4374308917810372e-05],\n",
       "  'dt': 318.6535554277305,\n",
       "  'pL / Pa': 5074.345160841942,\n",
       "  'pV / Pa': 5074.345257201041,\n",
       "  'rhoL / mol/m^3': [1402.720349122222, 53983.774035211456],\n",
       "  'rhoV / mol/m^3': [0.7847611337132065, 1.271629581732322],\n",
       "  't': 64087.7577040519,\n",
       "  'xL_0 / mole frac.': 0.02532603597166799,\n",
       "  'xV_0 / mole frac.': 0.3816206364962038},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5978109500924023,\n",
       "   0.8016370316157951,\n",
       "   -0.00037053396451016383,\n",
       "   1.4014890369475072e-05],\n",
       "  'dt': 284.64959855936456,\n",
       "  'pL / Pa': 4818.616696089506,\n",
       "  'pV / Pa': 4818.6167159779325,\n",
       "  'rhoL / mol/m^3': [1232.5840885128623, 54211.982349348174],\n",
       "  'rhoV / mol/m^3': [0.6769005687474493, 1.2756695859631866],\n",
       "  't': 64372.40730261127,\n",
       "  'xL_0 / mole frac.': 0.02223092663001106,\n",
       "  'xV_0 / mole frac.': 0.3466715739326475},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5980088238284309,\n",
       "   0.8014894386193131,\n",
       "   -0.000355271630599715,\n",
       "   1.367857727952581e-05],\n",
       "  'dt': 284.64959855936456,\n",
       "  'pL / Pa': 4573.9446603655815,\n",
       "  'pV / Pa': 4573.944759384499,\n",
       "  'rhoL / mol/m^3': [1062.388825308243, 54440.1466656901],\n",
       "  'rhoV / mol/m^3': [0.5736441206828529, 1.2796104398183135],\n",
       "  't': 64657.05690117063,\n",
       "  'xL_0 / mole frac.': 0.019141266536923274,\n",
       "  'xV_0 / mole frac.': 0.30953336519928765},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5981624092599351,\n",
       "   0.8013748273012176,\n",
       "   -0.00034370971153424985,\n",
       "   1.3413703936996936e-05],\n",
       "  'dt': 243.17623978680837,\n",
       "  'pL / Pa': 4372.724250763655,\n",
       "  'pV / Pa': 4372.724192672445,\n",
       "  'rhoL / mol/m^3': [916.9483197805537, 54635.03569959995],\n",
       "  'rhoV / mol/m^3': [0.48868421662025785, 1.2829040820296262],\n",
       "  't': 64900.23314095744,\n",
       "  'xL_0 / mole frac.': 0.01650613089643489,\n",
       "  'xV_0 / mole frac.': 0.2758452497076668},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5983012737341763,\n",
       "   0.8012711616082543,\n",
       "   -0.00033354083955404966,\n",
       "   1.317306012463299e-05],\n",
       "  'dt': 243.17623978680837,\n",
       "  'pL / Pa': 4177.838901132345,\n",
       "  'pV / Pa': 4177.838755951931,\n",
       "  'rhoL / mol/m^3': [771.4722479843001, 54829.89818751441],\n",
       "  'rhoV / mol/m^3': [0.4063671288334522, 1.286136192361151],\n",
       "  't': 65143.40938074425,\n",
       "  'xL_0 / mole frac.': 0.01387505814949758,\n",
       "  'xV_0 / mole frac.': 0.24009827558071203},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5984068466070299,\n",
       "   0.8011923236341043,\n",
       "   -0.00032605957543965433,\n",
       "   1.2991083419320323e-05],\n",
       "  'dt': 213.3302311660754,\n",
       "  'pL / Pa': 4017.5714841485023,\n",
       "  'pV / Pa': 4017.5715708503826,\n",
       "  'rhoL / mol/m^3': [648.5840921341025, 54994.45236593453],\n",
       "  'rhoV / mol/m^3': [0.3386513728354025, 1.2888225935562065],\n",
       "  't': 65348.78606184022,\n",
       "  'xL_0 / mole frac.': 0.011656159214511259,\n",
       "  'xV_0 / mole frac.': 0.2080840491637793},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5985050269088932,\n",
       "   0.8011189865405807,\n",
       "   -0.0003193814382442753,\n",
       "   1.2824762024168966e-05],\n",
       "  'dt': 213.3302311660754,\n",
       "  'pL / Pa': 3854.715685456991,\n",
       "  'pV / Pa': 3854.715706358888,\n",
       "  'rhoL / mol/m^3': [520.9151402370015, 55165.36293158016],\n",
       "  'rhoV / mol/m^3': [0.26982529209167955, 1.2915758154582782],\n",
       "  't': 65562.1162930063,\n",
       "  'xL_0 / mole frac.': 0.009354461427017813,\n",
       "  'xV_0 / mole frac.': 0.17280972249025153},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5985695414891407,\n",
       "   0.8010707861893661,\n",
       "   -0.0003152041679566672,\n",
       "   1.2718627563624435e-05],\n",
       "  'dt': 175.0822876441897,\n",
       "  'pL / Pa': 3737.354094028473,\n",
       "  'pV / Pa': 3737.35418530178,\n",
       "  'rhoL / mol/m^3': [427.3203599544485, 55290.63198241553],\n",
       "  'rhoV / mol/m^3': [0.22021743227561605, 1.2935727760690747],\n",
       "  't': 65718.48867059078,\n",
       "  'xL_0 / mole frac.': 0.007669347885017275,\n",
       "  'xV_0 / mole frac.': 0.1454742084218003},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5986261802879954,\n",
       "   0.8010284632489095,\n",
       "   -0.00031173610938668814,\n",
       "   1.2629061834096407e-05],\n",
       "  'dt': 151.8566574926822,\n",
       "  'pL / Pa': 3624.767089366913,\n",
       "  'pV / Pa': 3624.766963622027,\n",
       "  'rhoL / mol/m^3': [336.4192148913085, 55412.27664515368],\n",
       "  'rhoV / mol/m^3': [0.17262228359771087, 1.2954972116042496],\n",
       "  't': 65870.34532808347,\n",
       "  'xL_0 / mole frac.': 0.006034566543688777,\n",
       "  'xV_0 / mole frac.': 0.11758054038643785},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5986714005912873,\n",
       "   0.800994668133984,\n",
       "   -0.0003091556364410519,\n",
       "   1.2561353645979331e-05],\n",
       "  'dt': 134.38597339973077,\n",
       "  'pL / Pa': 3526.0984677672386,\n",
       "  'pV / Pa': 3526.0984779669084,\n",
       "  'rhoL / mol/m^3': [255.9691631934155, 55519.921325842064],\n",
       "  'rhoV / mol/m^3': [0.1309078750282962, 1.2971897071720977],\n",
       "  't': 66004.7313014832,\n",
       "  'xL_0 / mole frac.': 0.004589243864133991,\n",
       "  'xV_0 / mole frac.': 0.09166591741342708},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987055212488839,\n",
       "   0.800969165572253,\n",
       "   -0.0003073629793045707,\n",
       "   1.2513594414259717e-05],\n",
       "  'dt': 118.68594064338866,\n",
       "  'pL / Pa': 3444.669177979231,\n",
       "  'pV / Pa': 3444.6693267816872,\n",
       "  'rhoL / mol/m^3': [189.09931506789962, 55609.38605807262],\n",
       "  'rhoV / mol/m^3': [0.09648019263811494, 1.298589992990837],\n",
       "  't': 66116.42515131703,\n",
       "  'xL_0 / mole frac.': 0.003388968603777291,\n",
       "  'xV_0 / mole frac.': 0.0691579489204107},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987303486088862,\n",
       "   0.800950607564598,\n",
       "   -0.0003061711913715325,\n",
       "   1.2481370729208965e-05],\n",
       "  'dt': 100.85252843928974,\n",
       "  'pL / Pa': 3380.4697770774364,\n",
       "  'pV / Pa': 3380.469645429877,\n",
       "  'rhoL / mol/m^3': [136.11974422943103, 55680.26165868538],\n",
       "  'rhoV / mol/m^3': [0.06933637589306775, 1.2996958375454208],\n",
       "  't': 66204.91349194372,\n",
       "  'xL_0 / mole frac.': 0.002438706000069053,\n",
       "  'xV_0 / mole frac.': 0.050646270564314276},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.598748378904232,\n",
       "   0.8009371294589044,\n",
       "   -0.00030538244770142274,\n",
       "   1.2459734191089584e-05],\n",
       "  'dt': 84.04659194652139,\n",
       "  'pL / Pa': 3330.551507741213,\n",
       "  'pV / Pa': 3330.551580557254,\n",
       "  'rhoL / mol/m^3': [94.79143045663648, 55735.54723561499],\n",
       "  'rhoV / mol/m^3': [0.04823067819379914, 1.3005566063879195],\n",
       "  't': 66273.93903056675,\n",
       "  'xL_0 / mole frac.': 0.0016978480288933246,\n",
       "  'xV_0 / mole frac.': 0.03575855047355097},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.598760915900108,\n",
       "   0.8009277573434599,\n",
       "   -0.00030488086559883083,\n",
       "   1.2445782926194323e-05],\n",
       "  'dt': 68.74699062993632,\n",
       "  'pL / Pa': 3293.868843704462,\n",
       "  'pV / Pa': 3293.868769611463,\n",
       "  'rhoL / mol/m^3': [64.35632567600956, 55776.25916935826],\n",
       "  'rhoV / mol/m^3': [0.032720915705049224, 1.3011895813427565],\n",
       "  't': 66324.7697043097,\n",
       "  'xL_0 / mole frac.': 0.0011525002922242605,\n",
       "  'xV_0 / mole frac.': 0.024530068379750178},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987691375597636,\n",
       "   0.800921611010999,\n",
       "   -0.00030457642494638866,\n",
       "   1.2437210373139627e-05],\n",
       "  'dt': 55.66159312590773,\n",
       "  'pL / Pa': 3268.795155584812,\n",
       "  'pV / Pa': 3268.7954705178795,\n",
       "  'rhoL / mol/m^3': [43.52580878173467, 55804.12264395807],\n",
       "  'rhoV / mol/m^3': [0.022119762011454568, 1.3016224079167458],\n",
       "  't': 66359.55883714577,\n",
       "  'xL_0 / mole frac.': 0.0007793669024143012,\n",
       "  'xV_0 / mole frac.': 0.016710022928901887},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987741145939516,\n",
       "   0.8009178902213783,\n",
       "   -0.0003044027001973449,\n",
       "   1.2432271064655064e-05],\n",
       "  'dt': 45.4810505639417,\n",
       "  'pL / Pa': 3253.182819068432,\n",
       "  'pV / Pa': 3253.1826000225255,\n",
       "  'rhoL / mol/m^3': [30.544649062974667, 55821.48630399166],\n",
       "  'rhoV / mol/m^3': [0.015518556951712599, 1.3018919881882367],\n",
       "  't': 66381.2384875347,\n",
       "  'xL_0 / mole frac.': 0.000546885199011803,\n",
       "  'xV_0 / mole frac.': 0.011779590659086498},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987767904525727,\n",
       "   0.8009158897502964,\n",
       "   -0.00030431284824197855,\n",
       "   1.242969974050692e-05],\n",
       "  'dt': 38.61500710567866,\n",
       "  'pL / Pa': 3244.6435896754265,\n",
       "  'pV / Pa': 3244.643458111622,\n",
       "  'rhoL / mol/m^3': [23.441780195920483, 55830.98704016519],\n",
       "  'rhoV / mol/m^3': [0.011908169852298632, 1.3020394484816478],\n",
       "  't': 66393.10081222428,\n",
       "  'xL_0 / mole frac.': 0.00041969420672645103,\n",
       "  'xV_0 / mole frac.': 0.00906289541998478},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987785146110021,\n",
       "   0.8009146007620732,\n",
       "   -0.0003042563294337783,\n",
       "   1.2428075658500058e-05],\n",
       "  'dt': 33.80646798965863,\n",
       "  'pL / Pa': 3239.0852141082287,\n",
       "  'pV / Pa': 3239.085350244617,\n",
       "  'rhoL / mol/m^3': [18.817419525363256, 55837.17250973514],\n",
       "  'rhoV / mol/m^3': [0.009558180545270495, 1.3021354367735272],\n",
       "  't': 66400.82381364542,\n",
       "  'xL_0 / mole frac.': 0.0003368917022005125,\n",
       "  'xV_0 / mole frac.': 0.007286900247946734},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987800124560969,\n",
       "   0.800913480961625,\n",
       "   -0.00030420813084009146,\n",
       "   1.2426686210185342e-05],\n",
       "  'dt': 29.498269206230304,\n",
       "  'pL / Pa': 3234.2202512025833,\n",
       "  'pV / Pa': 3234.220197763738,\n",
       "  'rhoL / mol/m^3': [14.768897118156282, 55842.58772470796],\n",
       "  'rhoV / mol/m^3': [0.007501177789942682, 1.3022194619277228],\n",
       "  't': 66407.58510724334,\n",
       "  'xL_0 / mole frac.': 0.0002644037958714533,\n",
       "  'xV_0 / mole frac.': 0.005727311277281009},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987813105759471,\n",
       "   0.8009125104734987,\n",
       "   -0.0003041670528011221,\n",
       "   1.2425498555073355e-05],\n",
       "  'dt': 25.291391174424174,\n",
       "  'pL / Pa': 3229.9757429659367,\n",
       "  'pV / Pa': 3229.975664314794,\n",
       "  'rhoL / mol/m^3': [11.23629848432973, 55847.31283413535],\n",
       "  'rhoV / mol/m^3': [0.0057065767436762565, 1.3022927715600088],\n",
       "  't': 66413.48476108459,\n",
       "  'xL_0 / mole frac.': 0.0002011562895708667,\n",
       "  'xV_0 / mole frac.': 0.004362828430363507},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987833487181318,\n",
       "   0.800910986729722,\n",
       "   -0.00030410388945649756,\n",
       "   1.2423665605005284e-05],\n",
       "  'dt': 18.25272963869183,\n",
       "  'pL / Pa': 3223.2575092315674,\n",
       "  'pV / Pa': 3223.2575689504474,\n",
       "  'rhoL / mol/m^3': [5.6440597032461985, 55854.79283062047],\n",
       "  'rhoV / mol/m^3': [0.0028661503950271425, 1.3024088090568002],\n",
       "  't': 66422.82411277913,\n",
       "  'xL_0 / mole frac.': 0.00010103858862270868,\n",
       "  'xV_0 / mole frac.': 0.0021958211748969976},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987847223137074,\n",
       "   0.8009099598054206,\n",
       "   -0.00030406226163505684,\n",
       "   1.2422452740469986e-05],\n",
       "  'dt': 10.349278087152271,\n",
       "  'pL / Pa': 3218.691937506199,\n",
       "  'pV / Pa': 3218.6919741077236,\n",
       "  'rhoL / mol/m^3': [1.842934382687733, 55859.87706949802],\n",
       "  'rhoV / mol/m^3': [0.0009358091145513153, 1.302487671540504],\n",
       "  't': 66429.17218669238,\n",
       "  'xL_0 / mole frac.': 3.29910067674197e-05,\n",
       "  'xV_0 / mole frac.': 0.0007179624492271769},\n",
       " {'T / K': 298.15,\n",
       "  'c': -1.0,\n",
       "  'drho/dt': [-0.5987851977662909,\n",
       "   0.8009096043477506,\n",
       "   -0.00030404803280780325,\n",
       "   1.2422037222127023e-05],\n",
       "  'dt': 5.045830245584106,\n",
       "  'pL / Pa': 3217.1044620871544,\n",
       "  'pV / Pa': 3217.1043947750622,\n",
       "  'rhoL / mol/m^3': [0.5210595290886416, 55861.64515415611],\n",
       "  'rhoV / mol/m^3': [0.00026457842924539255, 1.3025150948292565],\n",
       "  't': 66431.3797819755,\n",
       "  'xL_0 / mole frac.': 9.327592616001912e-06,\n",
       "  'xV_0 / mole frac.': 0.00020308762462007955}]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# ammonia+water VLE at constant temperature\n",
    "\n",
    "ammonia = teqp.make_model({\"kind\":\"genericSAFT\", \"model\": Dufal_ammonia})\n",
    "\n",
    "Dufal_ammoniawater = {\n",
    "  \"nonpolar\": {\n",
    "    \"kind\": \"SAFT-VR-Mie\",\n",
    "    \"model\": {\n",
    "      \"coeffs\": [\n",
    "        {\n",
    "          \"name\": \"Ammonia\",\n",
    "          \"BibTeXKey\": \"Dufal-2015\",\n",
    "          \"m\": 1.0,\n",
    "          \"sigma_Angstrom\": 3.3309,\n",
    "          \"epsilon_over_k\": 323.70,\n",
    "          \"lambda_r\": 36.832,\n",
    "          \"lambda_a\": 6.0\n",
    "        },\n",
    "        {\n",
    "          \"name\": \"Water\",\n",
    "          \"BibTeXKey\": \"Dufal-2015\",\n",
    "          \"m\": 1.0,\n",
    "          \"sigma_Angstrom\": 3.0555,\n",
    "          \"epsilon_over_k\": 418.00,\n",
    "          \"lambda_r\": 35.823,\n",
    "          \"lambda_a\": 6.0\n",
    "        }\n",
    "      ]\n",
    "    }\n",
    "  },\n",
    "  \"association\": {\n",
    "    \"kind\": \"Dufal\",\n",
    "    \"model\": {\n",
    "      \"sigma / m\": [3.3309e-10, 3.0555e-10],\n",
    "      \"epsilon / J/mol\": [323.70*8.31446261815324, 3475.445374388054],\n",
    "      \"lambda_r\": [36.832, 35.823],\n",
    "      \"epsilon_HB / J/mol\": [1105.0*8.31446261815324, 13303.140189045183],\n",
    "      \"K_HB / m^3\": [560.73e-30, 496.66e-30],\n",
    "      \"kmat\": [[0.0,0.0],[0,0]],\n",
    "      \"Delta_rule\": \"Dufal\",\n",
    "      \"molecule_sites\": [[\"e\",\"H\",\"H\",\"H\"],[\"e\",\"e\",\"H\",\"H\"]]\n",
    "    }\n",
    "  }\n",
    "}\n",
    "\n",
    "T = 298.15\n",
    "rhoL0, rhoV0 = ammonia.pure_VLE_T(T, anc.rhoL(T), anc.rhoV(T), 10)\n",
    "\n",
    "ammoniawater = teqp.make_model({\"kind\":\"genericSAFT\", \"model\": Dufal_ammoniawater})\n",
    "ammoniawater.trace_VLE_isotherm_binary(T, np.array([rhoL0, 0]), np.array([rhoV0, 0]))"
   ]
  }
 ],
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