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Diffstat (limited to 'Thermodynamics_by_J._P._Holman/ch8.ipynb')
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diff --git a/Thermodynamics_by_J._P._Holman/ch8.ipynb b/Thermodynamics_by_J._P._Holman/ch8.ipynb new file mode 100755 index 00000000..34ac501d --- /dev/null +++ b/Thermodynamics_by_J._P._Holman/ch8.ipynb @@ -0,0 +1,300 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:79ebced3b14c5bbd0f1f1f599d71ac5841752e19c3ef6de2a5a4223855b1a785" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 8 :\n", + "applications of statistical\n", + "thermodynamics" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.1 pg : 202" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "T = 70. \t\t\t#K\n", + "Tr = 85.5 \t\t\t#K\n", + "\t\t\t\n", + "# Calculations\n", + "cvrot = 1.1\n", + "cvtra = 1.5\n", + "cv = cvtra+cvrot\n", + "\t\t\t\n", + "# Results\n", + "print \"Cv total = %.1f R\"%(cv)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Cv total = 2.6 R\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.2 pg : 202" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "T = 2000. \t\t\t#K\n", + "Tr = 3340. \t\t\t#K\n", + "\t\t\t\n", + "# Calculations\n", + "print (\"From fig 8.2\")\n", + "cvrot = 0.85\n", + "cvtra = 1.5\n", + "cvvib = 1.\n", + "cv = cvtra+cvrot+cvvib\n", + "\t\t\t\n", + "# Results\n", + "print \"Cv total = %.2f R\"%(cv)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "From fig 8.2\n", + "Cv total = 3.35 R\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.3 pg : 208" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "T = 200. \t\t\t#K\n", + "the = 398. \t\t\t#K\n", + "\t\t\t\n", + "# Calculations\n", + "ratio = T/the\n", + "cv = 4.9\n", + "\t\t\t\n", + "# Results\n", + "print \"Specific heat of aluminium = %.1f cal/g mol K\"%(cv)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Specific heat of aluminium = 4.9 cal/g mol K\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.4 pg : 208" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "T = 10. \t\t\t#K\n", + "td = 315. \t\t\t#K\n", + "\t\t\t\n", + "# Calculations\n", + "cv = 464.4 *(T/td)**3\n", + "\t\t\t\n", + "# Results\n", + "print \"specific heat of copper = %.5f cal/g mol K\"%(cv)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "specific heat of copper = 0.01486 cal/g mol K\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.5 pg : 213" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "import math \n", + "N0 = 6.025*10**23\n", + "M = 63.57 \n", + "d = 8.94 \t\t\t#g/cc\n", + "h = 6.624*10**-27\n", + "me = 9.1*10**-28\n", + "\t\t\t\n", + "# Calculations\n", + "NbyV = N0*d/M\n", + "mu0 = h**2 *(3*NbyV/ math.pi)**(2./3) /(8*me)\n", + "e0 = 0.6*mu0*10**-7\n", + "Teq = 2*e0/(3*1.38*10**-23)\n", + "\t\t\t\n", + "# Results\n", + "print \"Equivalent temperature = %d K\"%(Teq)\n", + "\n", + "# check using calculator" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Equivalent temperature = 32681 K\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.6 pg : 214" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "import math \n", + "T = 300. \t\t\t#K\n", + "mu = 1.13*10**-18\n", + "k = 1.38*10**-23\n", + "\t\t\t\n", + "# Calculations\n", + "cv = math.pi**2 *k*T/(2*mu)\n", + "\t\t\t\n", + "# Results\n", + "print \"Electron contribution = %.4f R\"%(cv)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Electron contribution = 0.0181 R\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.7 pg : 223" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "sig = 5.668*10**-5\n", + "T1 = 1000. \t\t\t#K\n", + "T2 = 2000. \t\t\t#K\n", + "\t\t\t\n", + "# Calculations\n", + "Eb1 = sig*T1**4 *10**-7\n", + "Eb2 = sig*T2**4 *10**-7\n", + "\t\t\t\n", + "# Results\n", + "print \"total energy emitted in case 1 = %.3f Watts/cm**2\"%(Eb1)\n", + "print \" total energy emitted in case 2 = %.3f Watts/cm**2\"%(Eb2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "total energy emitted in case 1 = 5.668 Watts/cm**2\n", + " total energy emitted in case 2 = 90.688 Watts/cm**2\n" + ] + } + ], + "prompt_number": 8 + } + ], + "metadata": {} + } + ] +}
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