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Diffstat (limited to 'Thermodynamics_for_Chemists/ch8.ipynb')
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1 files changed, 395 insertions, 0 deletions
diff --git a/Thermodynamics_for_Chemists/ch8.ipynb b/Thermodynamics_for_Chemists/ch8.ipynb new file mode 100755 index 00000000..7af17926 --- /dev/null +++ b/Thermodynamics_for_Chemists/ch8.ipynb @@ -0,0 +1,395 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:8d5a686096634f879e0f7f78f59d72e8ae896018a8aa4a7b249e0ce878bb62b8" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 8 : Entropy relationships and applications" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.1 Page No : 155" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "import math \n", + "k1 = 6.2\n", + "k2 = 1.33*10**-3\n", + "k3 = 6.78*10**4\n", + "T1 = 800. \t\t\t#C\n", + "T2 = 300. \t\t\t#C\n", + "\n", + "# Calculations\n", + "dS = k1*math.log(T1/T2)+k2*(T1-T2)-0.5*k3*(T1**-2-T2**-2)\n", + "\n", + "# Results\n", + "print 'Entropy increase = %.2f cal deg**-1 g atom**-1'%(dS)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Entropy increase = 7.07 cal deg**-1 g atom**-1\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.2 Page No : 159" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "T = 77.32 \t\t\t#K\n", + "p = 1 \t\t\t#atm\n", + "Tc = 126 \t\t\t#K\n", + "Pc = 33.5 \t\t\t#atm\n", + "Mo = 32 \t\t\t#gms\n", + "mo = 27 \t\t\t#gms\n", + "R = 1.98 \t\t\t#cl/mol K\n", + "\n", + "# Calculations\n", + "dS = (mo)*R*Tc**3/(Mo*Pc*T**3)\n", + "\n", + "# Results\n", + "print 'Entropy increase = %.3f cal deg**-1'%(dS)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Entropy increase = 0.216 cal deg**-1\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.3 Page No : 160" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "R = 1.987 \t\t\t#cal deg**-1 mole**-1\n", + "T = 25 \t\t\t#C\n", + "Pc = 49.7 \t\t\t#atm\n", + "m = 128 \t\t\t#gms\n", + "pc = 49.7 \t\t\t#atm\n", + "Tc = 154.3 \t\t\t#K\n", + "m1 = 9 \t \t\t#gms\n", + "m2 = 18\n", + "\n", + "# Calculations\n", + "dH = (m1*R*Tc/(m*pc))*(1-m2*(Tc/(273.15+T))**2)*-1\n", + "\n", + "# Results\n", + "print 'Enthalpy = %.2f cal mole**-1'%(dH)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Enthalpy = 1.66 cal mole**-1\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.4 Page No : 165" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "a = 1.39 \t\t\t#lit**2\n", + "p = 200. \t\t\t#atm\n", + "R = 0.082 \t\t\t#lit-atm /mol K\n", + "T = 298. \t\t\t#K\n", + "\n", + "# Calculations\n", + "dC = (1+(2*a*p/(R*T)**2))\n", + "\n", + "# Results\n", + "print 'Cp-Cv = %.2f *R lit-atm mole**-1 K**-1'%(dC)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Cp-Cv = 1.93 *R lit-atm mole**-1 K**-1\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.5 Page No : 165" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "P = 200. \t\t\t#atm\n", + "Tc = 126. \t\t\t#k\n", + "T = 25. \t\t\t#C\n", + "Pc = 33.5 \t\t\t#atm\n", + "M = 27. \t\t\t#gms\n", + "m = 16. \t\t\t#gms\n", + "\n", + "# Calculations\n", + "dC = (1+(M*Tc**3*P/(m*Pc*(273.2+T)**3)))\n", + "\n", + "# Results\n", + "print 'Cp-Cv = %.2f *R cal mole**-1 K**-1'%(dC)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Cp-Cv = 1.76 *R cal mole**-1 K**-1\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.6 Page No : 167" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "T = 25. \t\t\t#C\n", + "b = 0.785*10**-6 \t\t\t#atm**-1\n", + "a = 49.2*10**-6 \t\t\t#deg**-1\n", + "d = 8.93 \t\t \t#gm/cc\n", + "aw = 63.57 \t\t\t #gms\n", + "\n", + "# Calculations\n", + "dC = a**2*(273.2+T)*aw*0.0242/(b*d)\n", + "\n", + "# Results\n", + "print 'Cp-Cv = %.3f cal deg**-1g atom**-1'%(dC)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Cp-Cv = 0.158 cal deg**-1g atom**-1\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.7 Page No : 169" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "import math \n", + "p = 100 \t\t\t#atm\n", + "T = 25. \t\t\t#C\n", + "a = 1.38\n", + "b = 3.92*10**-2 \t\t\t#lit atm\n", + "R = 0.082 \t\t\t#lit-atm mole**-1 K**-1\n", + "Tc = 126 \t\t\t#K\n", + "Pc = 33.5 \t\t\t#atm\n", + "M = 81. \t\t\t#gms\n", + "m = 32. \t\t\t#gms\n", + "\n", + "# Calculations\n", + "dC = a*2*p/(R*(273+T)**2)\n", + "dC1 = M*R*Tc**3*p/(m*Pc*(273+T)**3)\n", + "\n", + "# Results\n", + "print 'Cp-Cp* = %.3f lit atm deg**-1 mole**-1'%(dC)\n", + "print ' Cp-Cp* = %.3f lit atm deg**-1 mole**-1'%(dC1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Cp-Cp* = 0.038 lit atm deg**-1 mole**-1\n", + " Cp-Cp* = 0.047 lit atm deg**-1 mole**-1\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.8 Page No : 172" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "Cp = 8.21*0.0413 \t\t\t#lit-atm deg**-1 mole**-1\n", + "V = 8.64*28*10**-3 \t\t\t#lit\n", + "r = 1.199\n", + "\n", + "# Calculations\n", + "u = V*(r-1)/Cp\n", + "\n", + "# Results\n", + "print 'Joule-thomson coefficient = %.3f deg atm**-1'%(u)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Joule-thomson coefficient = 0.142 deg atm**-1\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.9 Page No : 173" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "Cp = 8.21*0.0413 \t\t\t#lit-atm\n", + "R = 0.0821 \t\t\t#lit-atm deg**-1 mole**-1\n", + "p = 100 \t\t\t#atm\n", + "T = 20. \t\t\t#C\n", + "a = 1.39 \n", + "b = 3.92*10**-2 \t\t\t#lit-atm**2 mole\n", + "\n", + "# Calculations\n", + "u = (1/Cp)*((2*a/(R*(273+T)))-b-(3*a*b*p/(R**2*(273+T)**2)))\n", + "\n", + "# Results\n", + "print 'Joule-thomson coefficient = %.3f deg atm**-1'%(u)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Joule-thomson coefficient = 0.142 deg atm**-1\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +}
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