{ "metadata": { "name": "", "signature": "sha256:8b62be1f41dd311c1ab38e8f1f5050fc85b3e25eb123d081120fb3bbfeaaa74a" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 6 :\n", "The second law of\n", "thermodynamics" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 6.1 pg : 140" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\t\t\n", "# Variables\n", "m = 5. \t \t \t#lbm\n", "P = 50. \t \t\t#psia\n", "T = 500. + 460 \t\t\t#R\n", "\t\t\t\n", "# Calculations\n", "s1 = 0.4110 \t\t\t#B/lbm R\n", "s2 = 1.7887 \t\t\t#B/lbm R\n", "dS = m*(s2-s1)\n", "\t\t\t\n", "# Results\n", "print \"Change in entropy = %.3f B/R\"%(dS)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Change in entropy = 6.888 B/R\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 6.2 pg : 140" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\t\t\n", "# Variables\n", "P = 20. \t\t\t#psia\n", "T = 227.96+ 459.69 \t\t\t#R\n", "\t\t\t\n", "# Calculations\n", "sfg = 1.3962 \t\t\t#B/ R lbm\n", "Q = T*sfg\n", "\t\t\t\n", "# Results\n", "print \"heat transfer = %.1f B/lbm\"%(Q)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "heat transfer = 960.1 B/lbm\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 6.3 pg : 141" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\t\t\t\n", "# Variables\n", "T1 = 100.+460 \t\t\t#R\n", "P1 = 15. \t\t\t#psia\n", "P2 = 50. \t \t\t#psia\n", "n = 1.3\n", "cp = 0.24\n", "\t\t\t\n", "# Calculations\n", "T2 = T1*(P2/P1)**((n-1)/n)\n", "dS = cp*math.log(T2/T1) - 53.35/778 *math.log(P2/P1) \n", "\t\t\t\n", "# Results\n", "print \"Change in entropy = %.3f B/lbm R\"%(dS)\n", "\t\t\t#the answer given in textbook is wrong. Please check it using a calculator\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Change in entropy = -0.016 B/lbm R\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 6.4 pg : 141" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\t\t\t\n", "# Variables\n", "T1 = 85.+460 \t\t\t#R\n", "T2 = T1\n", "cp = 0.24\n", "P2 = 15. \t\t\t#psia\n", "P1 = 30. \t\t\t#psia\n", "\t\t\t\n", "# Calculations\n", "dS = cp*math.log(T2/T1) - 53.35/778 *math.log(P2/P1)\n", "\t\t\t\n", "# Results\n", "print \"Change in entropy = %.4f B/lbm R\"%(dS)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Change in entropy = 0.0475 B/lbm R\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 6.5 pg : 142" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\t\t\n", "# Variables\n", "Qh = -1000. \t\t\t#Btu\n", "Ql = 1000. \t\t\t#Btu\n", "Th = 1460. \t \t\t#R\n", "Tl = 960. \t\t \t#R\n", "\t\t\t\n", "# Calculations\n", "Sh = Qh/Th\n", "Sl = Ql/Tl\n", "S = Sh+Sl\n", "\t\t\t\n", "# Results\n", "print \"Change in entropy of the universe = %.3f B/R\"%(S)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Change in entropy of the universe = 0.357 B/R\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 6.6 pg : 143" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\t\t\n", "# Variables\n", "h1 = 1416.4 \t\t\t#B/lbm\n", "s1 = 1.6842 \t\t\t#B/lbm R\n", "\t\t\t\n", "# Calculations\n", "s2 = s1\n", "P2 = 50. \t\t\t#psia\n", "T2 = 317.5 \t\t\t#F\n", "h2 = 1193.7\n", "W = h2-h1\n", "\t\t\t\n", "# Results\n", "print \"Work calculated = %.1f B/lbm\"%(W)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Work calculated = -222.7 B/lbm\n" ] } ], "prompt_number": 7 } ], "metadata": {} } ] }