{ "cells": [ { "cell_type": "markdown", "id": "7af16f2a", "metadata": {}, "source": [ "# Two examples using the Peng-Robinson EOS to plot several isotherms for carbon dioxide" ] }, { "cell_type": "markdown", "id": "3c29e0e8", "metadata": {}, "source": [ "## Generalized Peng-Robinson Equation of State\n", "\n", "Routines to calcualte the Generalized Peng-Robinson Equation of State\n", "\n", "SIS is Stanley I. Sandler, *Chemical, Biochemcial and Engineering Thermodynamics*, 5th ed.\n", "\n", "Eric Furst \n", "November 2025\n", "\n", "The Generalized Peng-Robinson equation of state is\n", "\n", "$$ P = \\frac{RT}{\\underline{V}-b} - \\frac{a(T)}{\\underline{V}(\\underline{V}+b) + b(\\underline{V}-b)} \\tag{Eq. 6.4-2}$$\n", "\n", "with\n", "\n", "$$ b = 0.07780 \\frac{RT_c}{P_c} \\tag{Eq. 6.7-2}$$\n", "$$ a(T) = a(T_c)\\alpha(T) = 0.45724 \\frac{R^2T_c^2}{P_c}\\alpha(T) \\tag{Eq. 6.7-1}$$\n", "$$ \\sqrt{\\alpha} = 1 + \\kappa \\left ( 1- \\sqrt{\\frac{T}{T_c}} \\right ) \\tag{Eq. 6.7-3}$$\n", "$$ \\kappa = 0.37464 + 1.54226\\omega − 0.26992\\omega^2 \\tag{Eq. 6.7-4}$$\n", "\n", "The acentric factor $\\omega$ and the crticial temperatures and pressures are given in SIS table 6.6-1.\n", "\n", "Calculating the pressure $P$ given $\\underline{V}$ and $T$ is straightforward, but to calculate the molar volume given $P$ and $T$, we need to solve the cubic equation of state of the form\n", "\n", "$$ Z^3 + \\alpha Z^2 + \\beta Z + \\gamma = 0 \\tag{Eq. 6.4-4}$$\n", "\n", "where $Z$ is the compressibility factor\n", "\n", "$$ Z = \\frac{P \\underbar{V{}}}{RT} $$\n", "\n", "For the Peng-Robinson EOS (see SIS Table 6.4-3),\n", "\n", "$$ \\alpha = -1 + B $$\n", "$$ \\beta = A - 3B^2 -2B $$\n", "$$ \\gamma = -AB + B^2 + B^3 $$\n", "\n", "and \n", "\n", "$$ A = \\frac{aP}{(RT)^2} $$\n", "$$ B = \\frac{bP}{RT} $$" ] }, { "cell_type": "code", "execution_count": 1, "id": "47da809f", "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "Generalized Peng-Robinson EOS \n", "PR_pressure returns the pressure given V, T, Pc, Tc, omega\n", "PR_volume returns all molar volumes (real roots of EOS) given P, T, Pc, Tc, omega\n", "\"\"\"\n", "import numpy as np\n", "from scipy import constants\n", "from numpy.polynomial import Polynomial\n", "\n", "R = constants.R # Set the gas constant to R\n", "\n", "def calc_b(Pc,Tc):\n", " return 0.07780*R*Tc/Pc\n", "\n", "def calc_a(T,Pc,Tc,omega):\n", " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", " sqrtalpha = 1 + kappa*(1-np.sqrt(T/Tc))\n", " return 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", "\n", "# Calculate the presure given V, T for PR EOS\n", "def PR_pressure(V,T,Pc,Tc,omega):\n", " a = calc_a(T,Pc,Tc,omega)\n", " b = calc_b(Pc,Tc)\n", "\n", " P = R*T/(V-b) - a/(V*(V+b)+b*(V-b))\n", " return P\n", "\n", "# Calculate the molar volume given P, T for PR EOS in m^3/mol\n", "# Note that we can return multiple real roots (up to three)\n", "# The largest and smallest will be the vapor and liquid, respectively\n", "def PR_volume(P, T, Pc, Tc, omega):\n", " # Calculate a, b, A, and B\n", " a = calc_a(T, Pc, Tc, omega)\n", " b = calc_b(Pc, Tc)\n", " A = a*P/R**2/T**2\n", " B = b*P/R/T\n", "\n", " # Definitions of alpha, beta, gamma in SIS Table 6.4-3 for PR EOS\n", " alpha = -1 + B\n", " beta = A - 3*B**2 -2*B\n", " gamma = -A*B + B**2 + B**3\n", "\n", " # polynomial with coefficients in increasing order: c0 + c1 x + c2 x**2 + ...\n", " p = Polynomial([ gamma, beta, alpha, 1 ]) \n", "\n", " roots = p.roots() # returns all (possibly complex) roots of Z\n", " real_roots = roots.real[abs(roots.imag) < 1e-12] # filter real ones\n", "\n", " # Convert real values of Z to molar volume\n", " V = real_roots*R*T/P\n", "\n", " return V\n", "\n" ] }, { "cell_type": "markdown", "id": "2f55b187", "metadata": {}, "source": [ "## Example calculation" ] }, { "cell_type": "code", "execution_count": 2, "id": "fd028ebd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'PV diagram for carbon dioxide')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Critical values for carbon dioxide and the acentric factor\n", "Pc = 7.376*10**6 # critical pressure in Pa\n", "Tc = 304.2 # critical temperature in K\n", "omega = 0.225 # acentric factor\n", "\n", "fig, ax = plt.subplots()\n", "\n", "# plot several isotherms\n", "# use the same color for IG and vdW EOS\n", "for T in range(250, 350, 10) : \n", " V_max = constants.R*T/(100*1000)\n", " V_min = constants.R*T/(1000*1000)*0.015\n", " V = np.linspace(V_min,V_max,10000)\n", "\n", " ax.plot(V, PR_pressure(V,T,Pc,Tc,omega)/1e6, '-',label=T)\n", "\n", "ax.plot(V, PR_pressure(V,Tc,Pc,Tc,omega)/1e6, '-',label=Tc)\n", "\n", "ax.legend(frameon=True, fancybox=True, edgecolor='none')\n", "ax.set_xscale('log')\n", "plt.ylim([-1,20])\n", "plt.xlim([1*10**-5,0.003])\n", "plt.xlabel('V (m$^3$/mol)')\n", "plt.ylabel('P (MPa)')\n", "plt.title('PV diagram for carbon dioxide')" ] }, { "cell_type": "markdown", "id": "faf1a487", "metadata": {}, "source": [ "Our second example makes a prettier plot using Seaborn..." ] }, { "cell_type": "code", "execution_count": null, "id": "f387f98f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "from scipy import constants\n", "\n", "# Critical values for carbon dioxide and the acentric factor\n", "Pc = 7.376*10**6\n", "Tc = 304.2\n", "omega = 0.225\n", "\n", "rows = []\n", "\n", "# Make a list of temperatures for the isotherms and add Tc\n", "temps = list(range(250, 350, 10))\n", "temps.append(Tc)\n", "temps = sorted(temps)\n", "\n", "# Generate all isotherms including Tc\n", "for T in temps:\n", " V_max = constants.R*T/(100*1000)\n", " V_min = constants.R*T/(1000*1000)*0.015\n", " V = np.linspace(V_min, V_max, 5000)\n", " P = PR_pressure(V, T, Pc, Tc, omega)/1e6\n", " \n", " rows.append(pd.DataFrame({\n", " \"V\": V,\n", " \"P\": P,\n", " \"T\": T\n", " }))\n", "\n", "df = pd.concat(rows, ignore_index=True)\n", "\n", "# Convert T to string for categorical hue (fixes legend)\n", "df[\"T\"] = df[\"T\"].astype(str)\n", "\n", "sns.set_theme(style=\"ticks\")\n", "\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "sns.lineplot(\n", " data=df,\n", " x=\"V\", y=\"P\",\n", " hue=\"T\",\n", " palette=\"viridis\",\n", " linewidth=1.2,\n", " ax=ax\n", ")\n", "\n", "ax.set_xscale(\"log\")\n", "ax.set_ylim([0, 10])\n", "ax.set_xlim([1e-5, 1e-2])\n", "\n", "ax.set_xlabel(\"V (m$^3$/mol)\")\n", "ax.set_ylabel(\"P (MPa)\")\n", "ax.set_title(\"PV diagram for carbon dioxide\")\n", "\n", "# Remove legend box\n", "leg = ax.legend(title=\"Temperature (K)\", frameon=False)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "83c296bf", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }