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{
 "metadata": {
  "language": "Julia",
  "name": "",
  "signature": "sha256:5c5a1d506e998b3aad950a381b74124a48b85afb623b09ddf9d889fc0e88b92c"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Predicting the boiling point of water using the Shomate equations"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The basic idea is to find the temperature where the Gibbs energy of water as a vapor is equal to the Gibbs energy of the liquid."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "using Base.LinAlg.BLAS"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Liquid Water"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Hf_liq = -285.830   # kJ/mol\n",
      "S_liq = 0.06995     # kJ/mol/K\n",
      "shomateL = [-203.6060,\n",
      "            1523.290,\n",
      "           -3196.413,\n",
      "            2474.455,\n",
      "               3.855326,\n",
      "            -256.5478,\n",
      "            -488.7163,\n",
      "            -285.8304];"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Gase Phase Water"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Interestingly, these parameters are listed as valid only above 500K. That means we have to extrapolate the values down to 298K. That is risky for polynomial models, as they can deviate substantially outside the region they were fitted to."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Hf_gas = -241.826  # kJ/mol\n",
      "S_gas = 0.188835   # kJ/mol/K\n",
      "\n",
      "shomateG = [30.09200,\n",
      "             6.832514,\n",
      "             6.793435,\n",
      "            -2.534480,\n",
      "             0.082139,\n",
      "          -250.8810,\n",
      "           223.3967,\n",
      "          -241.8264];"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Compute G for each phase as a function of T"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "T = linspace(0, 200) .+ 273.15;\n",
      "t = T ./ 1000.0;"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sTT = vcat([log(t) (t) ((t.^2) ./ 2.0) ((t.^3) ./ 3.0) (-1.0 ./ (2*t.^2)) (0 * t) (t.^0) (0 * t.^0)]) ./ 1000.0;\n",
      "hTT = vcat([(t) ((t.^2) ./ 2.0) ((t.^3)./3.0) ((t.^4) ./ 4.0) (-1.0 ./ t) (1 * t.^0) (0 * t.^0) (-1 * t.^0)]);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Gliq = Hf_liq .+ [dot(hTT[i;1:end], shomateL') for i = 1:size(sTT, 1)] - T .* [dot(sTT[j;1:end], shomateL') for j = 1:size(sTT,1)];\n",
      "Ggas = Hf_gas .+ [dot(hTT[i;1:end], shomateG') for i = 1:size(sTT, 1)] - T .* [dot(sTT[j;1:end], shomateG') for j = 1:size(sTT,1)];"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "using PyCall\n",
      "@pyimport scipy.interpolate as inter\n",
      "@pyimport scipy.optimize as optim"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f = inter.interp1d(T, Gliq - Ggas);\n",
      "bp = optim.fsolve(f, 373)\n",
      "print(\"Boiling point of water = \", bp[1], \" Kelvin\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Boiling point of water = 373"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        ".2044676593172 Kelvin"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "using PyPlot"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO: Loading help data...\n"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(T .- 273.15, Gliq, T .- 273.15, Ggas)\n",
      "plt.legend([\"liquid water\", \"steam\"])\n",
      "plt.xlabel(L\"Temperature $^\\circ$C\")\n",
      "plt.ylabel(L\"$\\Delta G$ (kJ/mol)\")\n",
      "plt.title(L\"The boiling point is approximately 100.054 $^\\circ$C\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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",
       "text": [
        "Figure(PyObject <matplotlib.figure.Figure object at 0xb41fd10>)"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "PyObject <matplotlib.text.Text object at 0xb62d950>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The answer we get us 0.05 K too high, which is not bad considering we estimated it using parameters that were fitted to thermodynamic data and that had finite precision and extrapolated the steam properties below the region the parameters were stated to be valid for."
     ]
    }
   ],
   "metadata": {}
  }
 ]
}

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Email: contact@elmoujehidin.net bypass 1.0, Devloped By El Moujahidin (the source has been moved and devloped) Email: contact@elmoujehidin.net