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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:284938688fc57eccf01fe20d1b336bc54ea30fa2a3b9197c8f73f3ff6a7b1e2c"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 6 : Second Law of Thermodynamics"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.1 Page No : 141"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "T1 = 800.;\n",
+ "T2 = 30.;\n",
+ "\n",
+ "# Calculation\n",
+ "e_max = 1.-((T2+273)/(T1+273));\n",
+ "Wnet = 1. \t\t\t# in kW\n",
+ "Q1 = Wnet/e_max;\n",
+ "Q2 = Q1-Wnet;\n",
+ "\n",
+ "# Results\n",
+ "print \"Least rate of heat rejection is %.3f KW\"%Q2\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Least rate of heat rejection is 0.394 KW\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.2 Page No : 142"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "T1 = -15.+273;\n",
+ "T2 = 30.+273;\n",
+ "Q2 = 1.75; \t\t\t# in kJ/sec\n",
+ "\n",
+ "# Calculation\n",
+ "Q1 = Q2*T2/T1\n",
+ "W = Q1-Q2;\n",
+ "\n",
+ "# Results\n",
+ "print \"Least Power necessary to pump the heat out is\",round(W,2),\"kW\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Least Power necessary to pump the heat out is 0.31 kW\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.4 Page No : 144"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "Q1 = 200.;\n",
+ "T1 = 373.15;\n",
+ "T2 = 273.16;\n",
+ "\n",
+ "# Calculation\n",
+ "Q2 = Q1*(T2/T1);\n",
+ "W = Q1-Q2;\n",
+ "e = W/Q1;\n",
+ "\n",
+ "# Results\n",
+ "print \"The heat rejected, the work done and the thermal effiency of the engine is %.3f J, %.1f J, %.1f respectively\"%(e,W,Q2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The heat rejected, the work done and the thermal effiency of the engine is 0.268 J, 53.6 J, 146.4 respectively\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.5 Page No : 144"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "T1 = 873.;\n",
+ "T2 = 313.;\n",
+ "T3 = 253.;\n",
+ "Q1 = 2000.; \t\t\t# In joule\n",
+ "W = 360.; \t\t\t# in joule\n",
+ "\n",
+ "# Calculation\n",
+ "# Part (a)\n",
+ "e_max = round(1-(T2/T1),3);\n",
+ "W1 = e_max*Q1;\n",
+ "COP = T3/(T2-T3);\n",
+ "W2 = W1-W;\n",
+ "Q4 = COP*W2;\n",
+ "Q3 = Q4+W2;\n",
+ "Q2 = Q1-W1;\n",
+ "\n",
+ "# Results\n",
+ "print \"The heat rejection to the 40 degree reservior is\",round((Q2+Q3)),\"kJ\"\n",
+ "\n",
+ "# Part (b)\n",
+ "e_max_ = 0.4*e_max;\n",
+ "W1_ = e_max_*Q1;\n",
+ "W2_ = W1_-W;\n",
+ "COP_ = 0.4*COP;\n",
+ "Q4_ = COP_*W2_;\n",
+ "Q3_ = Q4_+W2_;\n",
+ "Q2_ = Q1-W1_;\n",
+ "\n",
+ "print \"Q4 = %.1f kJ\"%round(Q4_,1)\n",
+ "print \"Q3 = %.1f kJ\"%round(Q3_,1)\n",
+ "print \"Q2 = %.1f kJ\"%round(Q2_,1)\n",
+ "print \"The heat rejection to the 40 degree reservior is\",round((Q2_+Q3_)),\"kJ\"\n",
+ "\n",
+ "# note: answers are slightly different because of rounding off error. please check."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The heat rejection to the 40 degree reservior is 5528.0 kJ\n",
+ "Q4 = 257.7 kJ\n",
+ "Q3 = 410.5 kJ\n",
+ "Q2 = 1487.2 kJ\n",
+ "The heat rejection to the 40 degree reservior is 1898.0 kJ\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.7 Page No : 147"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "T1 = 473.;\n",
+ "T2 = 293.;\n",
+ "T3 = 273.;\n",
+ "\n",
+ "# Calculation\n",
+ "MF = (T2*(T1-T3))/(T1*(T2-T3));\n",
+ "\n",
+ "# Results\n",
+ "print \" The multiplication factor is %.1f\"%MF\n",
+ "\n",
+ "# rounding off error."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " The multiplication factor is 6.2\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.8 Page No : 148"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "T1 = 363.;\n",
+ "T2 = 293.;\n",
+ "W = 1.; \t\t\t# Kj/s\n",
+ "\n",
+ "# Calculation\n",
+ "e_max = 1.-(T2/T1);\n",
+ "Qmin = W/e_max ;\n",
+ "Qmin_ = Qmin*3600.;\n",
+ "E = 1880.; \t\t\t# in kJ/m2 h\n",
+ "Amin = Qmin_/E ;\n",
+ "\n",
+ "# Results\n",
+ "print \"Minimum area required for the collector plate %.0f m2\"%Amin\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Minimum area required for the collector plate 10 m2\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.9 Page No : 149"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "T1 = 1000.;\n",
+ "W = 1000.; \t\t\t# in W\n",
+ "K = 5.67e-08;\n",
+ "\n",
+ "# Calculation\n",
+ "Amin = (256.*W)/(27.*K*T1**4);\n",
+ "\n",
+ "# Results\n",
+ "print \"Area of the panel %.4f m^2\"%Amin\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Area of the panel 0.1672 m^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 14:36:12 +0000