{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 9 - Properties of the pure substance" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1 - Pg 194" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the internal energy of the system.\n", "#Initialization of variables\n", "T=32. #F\n", "m=1 #lbm\n", "J=778.16\n", "#calculations\n", "print '%s' %(\"From steam tables,\")\n", "hf=0 \n", "p=0.08854 #psia\n", "vf=0.01602 #ft^3/lbm\n", "u=hf-p*144*vf/J\n", "#results\n", "print '%s %.7f %s' %(\"Internal energy =\",u,\"Btu/lbm\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From steam tables,\n", "Internal energy = -0.0002625 Btu/lbm\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2 - Pg 194" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the change in entropy of the process\n", "#Initialization of variables\n", "P=40. #psia\n", "#calculations\n", "print '%s' %(\"from steam tables,\")\n", "hf=200.8 #Btu/lbm\n", "hg=27 #Btu/lbm\n", "T=495. #R\n", "ds=(hf-hg)/T\n", "#results\n", "print '%s %.3f %s' %(\"Change in entropy =\",ds,\"Btu/lbm R\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "from steam tables,\n", "Change in entropy = 0.351 Btu/lbm R\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3 - Pg 194" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the specific enthalpy of the mixture\n", "#Initialization of variables\n", "x=0.35\n", "T=18. #F\n", "#calculations\n", "print '%s' %(\"From table B-14,\")\n", "hf=12.12 #Btu/lbm\n", "hg=80.27 #Btu.lbm\n", "hfg=-hf+hg\n", "h=hf+x*hfg\n", "#results\n", "print '%s %.1f %s' %(\"specific enthalpy =\",h,\"Btu/lbm\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From table B-14,\n", "specific enthalpy = 36.0 Btu/lbm\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4 - Pg 194" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the heat required for the process\n", "#Initialization of variables\n", "x=0.35\n", "T=18. #F\n", "T2=55.5 #F\n", "#calculations\n", "print '%s' %(\"From table B-14,\")\n", "hf=12.12 #Btu/lbm\n", "hg=80.27 #Btu.lbm\n", "hfg=-hf+hg\n", "h=hf+x*hfg\n", "h2=85.68 #Btu/lbm\n", "dh=h2-h\n", "#results\n", "print '%s %.2f %s' %(\"Heat required =\",dh,\"Btu/lbm\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From table B-14,\n", "Heat required = 49.71 Btu/lbm\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5 - Pg 194" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the enthalpy given out and the quality of the gas\n", "#Initialization of variables\n", "P=1460. #psia\n", "T=135. #F\n", "P2=700. #psia\n", "#calculations\n", "print '%s' %(\"From mollier chart,\")\n", "h=120 #Btu/lbm\n", "x=0.83\n", "#results\n", "print '%s %d %s' %(\"enthalpy =\",h,\" Btu/lbm\")\n", "print '%s %.2f' %(\"\\n Qulaity = \",x)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From mollier chart,\n", "enthalpy = 120 Btu/lbm\n", "\n", " Qulaity = 0.83\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 6 - Pg 195" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the heat transferred in the process\n", "#Initialization of variables\n", "m=1 #lbm\n", "P1=144. #psia\n", "P2=150. #psia\n", "T1=360. #F\n", "J=778.16\n", "#calculations\n", "print '%s' %(\"From table 3,\")\n", "v1=3.160 #ft^3/lbm\n", "h1=1196.5 #Btu/lbm\n", "u1=h1-P1*144*v1/J\n", "h2=1211.4 #Btu/lbm\n", "u2=h2-P2*144*v1/J\n", "dq=u2-u1\n", "#results\n", "print '%s %.1f %s' %(\"Heat transferred =\",dq,\" Btu/lbm\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From table 3,\n", "Heat transferred = 11.4 Btu/lbm\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 7 - Pg 195" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the work required, reversible work and the work done in compression \n", "#Initialization of variables\n", "T1=100 #F\n", "P2=1000. #psia\n", "x=0.6\n", "J=778.16\n", "tir=2 \n", "P1=0.9 #psia\n", "#calculations\n", "print '%s' %(\"From table 3,\")\n", "hf=67.97\n", "htc=2.7\n", "hpc=0.32\n", "h1=67.97\n", "dv=0.000051\n", "v=0.01613\n", "h2=hf+htc+hpc\n", "wrev=h1-h2\n", "wact=wrev/x\n", "dt=hpc+tir\n", "t2act=T1+dt\n", "wrev2=-v*144*(P2-P1)/J\n", "dw=(P1+P2)/2. *dv *144/J\n", "#results\n", "print '%s %.2f %s' %(\"Work required =\",wact,\" Btu/lbm\")\n", "print '%s %.2f %s' %(\"\\n reversible work done =\",wrev2,\" Btu/lbm\")\n", "print '%s %.4f %s' %(\"\\n Work done in compression =\",dw,\"Btu/lbm\")\n", "print '%s' %(\"The answers are a bit different due to rounding off error in textbook\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From table 3,\n", "Work required = -5.03 Btu/lbm\n", "\n", " reversible work done = -2.98 Btu/lbm\n", "\n", " Work done in compression = 0.0047 Btu/lbm\n", "The answers are a bit different due to rounding off error in textbook\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8 - Pg 196" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the heat transferred in the process\n", "#Initialization of variables\n", "pa=1000. #atm\n", "ta=100. #F\n", "#calculations\n", "hf=67.97 #Btu/lbm\n", "w=3 #Btu/lbm\n", "ha=hf+w\n", "print '%s' %(\"from steam table 2,\")\n", "hc=1191.8 #Btu/lbm\n", "qrev=hc-ha\n", "#results\n", "print '%s %.1f %s' %(\"Heat transferred =\",qrev,\"Btu/lbm\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "from steam table 2,\n", "Heat transferred = 1120.8 Btu/lbm\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 10 - Pg 197" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the work done and final pressure\n", "#Initialization of variables\n", "P1=144 #psia\n", "T1=400 #F\n", "y=0.7\n", "#calculations\n", "print '%s' %(\"From steam tables,\")\n", "h1=1220.4 #Btu/lbm\n", "s1=1.6050 #Btu/lbm R\n", "s2=1.6050 #Btu/lbm R\n", "P2=3 #psia\n", "sf=0.2008 #Btu/lbm R\n", "sfg=1.6855 #Btu/lbm R\n", "x=(s1-sf)/sfg\n", "hf=109.37 #Btu/lbm\n", "hfg=1013.2 #Btu/;bm\n", "h2=hf+x*hfg\n", "work=h1-h2\n", "dw=y*work\n", "h2d=h1-dw\n", "#results\n", "print '%s %d %s' %(\"Work done =\",work,\"Btu/lbm\")\n", "print '%s %.1f %s' %(\"\\n work done in case 2 =\",dw,\"Btu/lbm\")\n", "print '%s %d %s' %(\"\\n Final state pressure =\",P2,\"psia\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From steam tables,\n", "Work done = 266 Btu/lbm\n", "\n", " work done in case 2 = 186.8 Btu/lbm\n", "\n", " Final state pressure = 3 psia\n" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 11 - Pg 200" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the quality of wet steam\n", "#Initialization of variables\n", "pb=14.696 #psia\n", "pa=150 #psia\n", "tb=300 #F\n", "#calculations\n", "print '%s' %(\"From steam tables,\")\n", "hb=1192.8 #Btu/lbm\n", "ha=hb\n", "hf=330.51 #Btu/lbm\n", "hfg=863.6 #Btu/lbm\n", "x=(ha-hf)/hfg*100\n", "#results\n", "print '%s %.1f %s' %(\"Quality of wet steam =\",x,\"percent\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From steam tables,\n", "Quality of wet steam = 99.8 percent\n" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 12 - Pg 204" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the thermal and furnace efficiencies\n", "#Initialization of variables\n", "p1=600 #psia\n", "p2=0.2563 #psia\n", "t1=486.21 #F\n", "t2=60 #F\n", "fur=0.75\n", "#calculations\n", "print '%s' %(\"from steam tables,\")\n", "h1=1203.2\n", "hf1=471.6\n", "hfg1=731.6\n", "h2=1088\n", "hf2=28.06\n", "hfg2=1059.9\n", "s1=1.4454\n", "sf1=0.6720\n", "sfg1=0.7734\n", "s2=2.0948\n", "sf2=0.0555\n", "sfg2=2.0393\n", "xd=(s1-sf2)/sfg2\n", "hd=hf2+xd*hfg2\n", "xa=0.3023\n", "ha=hf2+xa*hfg2\n", "wbc=0\n", "wda=0\n", "wcd=h1-hd\n", "wab=ha-hf1\n", "W=wab+wcd+wbc+wda\n", "Wrev=hfg1- (t2+459.7)*sfg1\n", "etat=(t1-t2)/(t1+459.7)*100\n", "eta=fur*etat\n", "#results\n", "print '%s %d %s' %(\"Thermal efficiency =\",etat,\"percent\")\n", "print '%s %.1f %s' %(\"\\n Furnace efficiency =\",eta,\"percent\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "from steam tables,\n", "Thermal efficiency = 45 percent\n", "\n", " Furnace efficiency = 33.8 percent\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 13 - Pg 204" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the thermal and overall efficiencies\n", "#Initialization of variables\n", "dhab=-123.1\n", "etac=0.5\n", "ha=348.5\n", "etaf=0.75\n", "eta=0.85\n", "hf=471.6\n", "hfg=731.6\n", "hc=1203.2\n", "dhcd=452.7\n", "#calculations\n", "dwabs=dhab/etac\n", "hbd=ha-dwabs\n", "dwcds=dhcd*eta\n", "dqa=hc-hbd\n", "etat=(dwcds+dwabs)/dqa*100\n", "eta=etat*etaf\n", "#results\n", "print '%s %.1f %s' %(\"Thermal efficiency =\",etat,\"percent\")\n", "print '%s %.1f %s' %(\"\\n Overall efficiency =\",eta,\"percent\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Thermal efficiency = 22.8 percent\n", "\n", " Overall efficiency = 17.1 percent\n" ] } ], "prompt_number": 12 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 14 - Pg 205" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the thermal and overall efficiencies\n", "#Initialization of variables\n", "t=60 #F\n", "J=778.16\n", "p1=600 #psia\n", "p2=0.2563 #psia\n", "etaf=0.85 \n", "#calculations\n", "print '%s' %(\"From steam tables,\")\n", "vf=0.01604 #ft^3/lbm\n", "dw=-vf*(p1-p2)*144/J\n", "ha=28.06 #Btu/lbm\n", "hb=29.84 #Btu/lbm\n", "hd=1203.2 #Btu/lbm\n", "he=750.5 #Btu/lbm\n", "dqa=hd-hb\n", "dqr=ha-he\n", "dw=dqa+dqr\n", "dwturb=hd-he\n", "dwpump=ha-hb\n", "etat=dw/dqa*100\n", "eta=etat*etaf\n", "#results\n", "print '%s %.1f %s' %(\"Thermal efficiency =\",etat,\"percent\")\n", "print '%s %.1f %s' %(\"\\n Overall efficiency =\",eta,\"percent\")\n", " \n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From steam tables,\n", "Thermal efficiency = 38.4 percent\n", "\n", " Overall efficiency = 32.7 percent\n" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 15 - Pg 206" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the thermal and overall efficiencies\n", "#Initialization of variables\n", "dhab=-1.78\n", "etac=0.5\n", "ha=28.06\n", "eta=0.85\n", "hf=471.6\n", "hfg=731.6\n", "hd=1203.2\n", "dhcd=452.7\n", "#calculations\n", "dwabs=dhab/etac\n", "hbd=ha-dwabs\n", "dwcds=dhcd*eta\n", "dqa=hd-hbd\n", "etat=(dwcds+dwabs)/dqa*100\n", "eta=etat*eta\n", "#results\n", "print '%s %.1f %s' %(\"Thermal efficiency =\",etat,\"percent\")\n", "print '%s %.1f %s' %(\"\\n Overall efficiency =\",eta,\"percent\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Thermal efficiency = 32.5 percent\n", "\n", " Overall efficiency = 27.7 percent\n" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 16 - Pg 207" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the coefficient of performance, hp required, work of compression and expansion\n", "#Initialization of variables\n", "Ta=500. #R\n", "Tr=540. #R\n", "#calculations\n", "cop=Ta/(Tr-Ta)\n", "hp=4.71/cop\n", "print '%s' %(\"From steam tables,\")\n", "ha=48.02\n", "hb=46.6\n", "hc=824.1\n", "hd=886.9\n", "Wc=-(hd-hc)\n", "We=-(hb-ha)\n", "#results\n", "print '%s %.1f' %(\"Coefficient of performance = \",cop)\n", "print '%s %.3f %s' %(\"\\n horsepower required per ton of refrigeration =\",hp,\"hp/ton refrigeration\")\n", "print '%s %.1f %s' %(\"\\n Work of compression =\",Wc,\"Btu/lbm\")\n", "print '%s %.2f %s' %(\"\\n Work of expansion =\",We,\"Btu/lbm\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "From steam tables,\n", "Coefficient of performance = 12.5\n", "\n", " horsepower required per ton of refrigeration = 0.377 hp/ton refrigeration\n", "\n", " Work of compression = -62.8 Btu/lbm\n", "\n", " Work of expansion = 1.42 Btu/lbm\n" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 17 - Pg 209" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate the coefficient of performance\n", "#Initialization of variables\n", "x=0.8\n", "he=26.28 #Btu/lbm\n", "hb=26.28 #Btu/lbm\n", "pe=98.76 #psia\n", "pc=51.68 #psia\n", "hc=82.71 #Btu/lbm\n", "hf=86.80+0.95\n", "#calculations\n", "dwisen=-(hf-hc)\n", "dwact=dwisen/x\n", "hd=hc-dwact\n", "cop=(hc-hb)/(hd-hc)\n", "#results\n", "print '%s %.2f' %(\"Coefficient of performance = \",cop)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Coefficient of performance = 8.96\n" ] } ], "prompt_number": 16 } ], "metadata": {} } ] }