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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:c994036a387ecf3d6e1af15e46c49ba61b58c1363388a5e580f169263936cabd"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 7 : Reversibility and The Thermodynamic Temperature Scale"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.1 Page No : 174"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "print \"Part a\";\n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "Q1 = 500. \t\t\t#kJ \t\t\t#Heat transfer from reservoir at t1\n",
+ "Q2 = 187.5 \t\t\t#kJ \t\t\t#Heat transfer from reservoir at t2\n",
+ "\n",
+ "\t\t\t\n",
+ "# Calculations and Results\n",
+ "nr = 1-(Q2/Q1) \t\t\t#Efficiency\n",
+ "W = nr*Q1 \t\t\t#kJ \t\t\t#Work output of the engine\n",
+ "print \"Work output of the engine = %.1f kJ\"%(W);\n",
+ "\n",
+ "\t\t\t#Part(b)\n",
+ "print \"Part b\";\n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "Q1 = 500. \t\t\t#kJ \t\t\t#Heat transfer from reservoir at t1\n",
+ "\t\t\t\n",
+ "# Calculations and Results\n",
+ "COP_hp = 1/nr\n",
+ "W = Q1/COP_hp \t\t\t#kJ \t\t\t#Work input to heat pump\n",
+ "Q2 = Q1-W \t\t\t#kJ \t\t\t#heat ineraction with reservoir at t2\n",
+ "print \"Heat ineraction with reservoir at t2 = %.1f kJ\"%(Q2);\n",
+ "print \"Work input to the heat pump = %.1f kJ\"%(W);\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Part a\n",
+ "Work output of the engine = 312.5 kJ\n",
+ "Part b\n",
+ "Heat ineraction with reservoir at t2 = 187.5 kJ\n",
+ "Work input to the heat pump = 312.5 kJ\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.2 Page No : 178"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\t\t\t\n",
+ "# Variables\n",
+ "nr = 0.7 \t\t\t#maximum efficiency\n",
+ "W = 80. \t\t\t#kJ \t\t\t#Work\n",
+ "Q1 = 100. \t\t\t#kJ \t\t\t#heat transfered\n",
+ "\t\t\t\n",
+ "# Calculations and Results\n",
+ "nx = W/Q1 \t\t\t#claimed efficiency\n",
+ "if nx>nr :\n",
+ " print \"Engine X is not a viable proposition because the claimed efficiency %.2f is greater than maximum efficiency %.2f\"%(nx,nr)\n",
+ "else:\n",
+ " print \"Engine X is a viable proposition because the claimed efficiency %.2f is less than maximum efficiency %.2f\"%(nx,nr) \n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Engine X is not a viable proposition because the claimed efficiency 0.80 is greater than maximum efficiency 0.70\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.4 Page No : 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\t\t\t\n",
+ "# Variables\n",
+ "T1 = (527.+273) \t\t\t#K\n",
+ "T2 = (27.+273) \t\t\t#K\n",
+ "\n",
+ "# calculations and results\n",
+ "#Part (a)\n",
+ "print \"Part a\";\n",
+ "nr = 1 - (T2/T1) \t\t\t#reversible efficiency\n",
+ "print \"Reversible efficiency = %.3f \"%(nr);\n",
+ "\n",
+ "#Part(b)\n",
+ "print \"Part b\";\n",
+ "print \"As the values of at least any two from among Q1,Q2 and W \\\n",
+ "are not given the efficiency of the engine cannot be evaluated.However\\\n",
+ "according to Carnots statement, the efficiency will be less than %.3f\"%(nr)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Part a\n",
+ "Reversible efficiency = 0.625 \n",
+ "Part b\n",
+ "As the values of at least any two from among Q1,Q2 and W are not given the efficiency of the engine cannot be evaluated.Howeveraccording to Carnots statement, the efficiency will be less than 0.625\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5 Page No : 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "T1 = 273. + 37 \t\t\t#K \n",
+ "T2 = 273. - 13 \t\t\t#K\n",
+ "\n",
+ "\t\t\t#Part(a)\n",
+ "print \"Part a\";\n",
+ "COP_ref = T2/(T1-T2) \t\t\t#COP of reversible heat engine as refrigerator.\n",
+ "print \"COP of reversible heat engine as refrigerator = %.1f\"%(COP_ref)\n",
+ "\t\t\t#Part(b)\n",
+ "print \"Part b\";\n",
+ "COP_hp = T1/(T1-T2) \t\t\t#COP of reversible heat engine as heat pump.\n",
+ "print \"COP of reversible heat engine as heat pump = %.1f\"%(COP_hp)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Part a\n",
+ "COP of reversible heat engine as refrigerator = 5.2\n",
+ "Part b\n",
+ "COP of reversible heat engine as heat pump = 6.2\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file