ch09 - 9-1 CHAPTER 9 SOLUTIONS9.1 To furnaceHeat...

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Unformatted text preview: 9-1 CHAPTER 9 SOLUTIONS9.1 To furnaceHeat lossesKmolcal9.61000°CAir12700°C∆B12 = ∆H12 – To∆S12 =6.9 x (700 – 1000) – 6.9 x 298 ln 1273973=-2,070 – (-552) =-1,517.4 cal/mol 9-2 9.2 50 atm25°C1 atm150°CIdeal gasUse a two-step process – isothermal compression followed by isobaric heating ∆B=∆Bcomp+ ∆Bheat=∆Hcomp - To∆Scomp+ ∆Hheat– To∆Sheat =0 – (-298) x 1.987 ln501+ 7[(150 –25) – 298 ln298423] =2316.4 + 144.3 =2460.7 cal/mol 9-3 9.3 21350 psia250 psia500°FH1=1264.7BtulbS1=1.5965RlbBtu°ηS= 0.7For reversible operation: S2s= S1= 1.5965 Btu/(lb°R) Interpolating in steam tables (between 550 and 600°F) 9.12826.13109.12825801.16069.15801.15965.12s−−=−−H7.279.12826119.2s−=HH2s=1282.9 + 17.0 = 1299.9 Btu/lb Ws= - (H2s– H1) = -(1299.9 – 1264.7) = -35.2 Btu/lb Actual work W= 7.sW= -50.3 Btu/lb Conditions of Stream 2 H2= H1– W= 1264.7 + 50.3 = 1315.0 Btu/lb Interpolating (between 600 and 700°F) 6069.16556.16069.16.13107.13646.1310.13152−−=−−S0487.6069.108133.2−=SS2= 1.6069 + 0.0040 = 1.6109 Btu/(lb°R) LW = -W - ∆B 9-4 = -(-50.3) – [(H2– ToS2) - (H1– ToS1)] = 50.3 – [(H2– H1) –To(S2– S1)] = 50.3 – [50.3 –537(1.6109 – 1.5965)] = 50.3 – 42.6 = 7.7 Btu/lb 85.7.76.426.42-GoalMain GoalMain T=−−−==LWη9-5 9.4 Adiabatic=Q¡2400°F70 psia100 lb/h1KW1.4elec−=W¡200 psiaRlbBtu6951.1lbBtu.123211°==SHFirst Law -lbBtu.1372.140.1232hrlb100JBtu054,1hr600,3100,4.12322elec12elec=+=×+=−=−=∆HssJmWHHWQHm¡¡¡¡¡Interpolating, F5.6952°=T( )RlbBtu/7218.12°=Sa. WL¡= ( )elecWBm¡¡−∆−=[ ]elecWSTHmo¡¡−∆−∆−=( )[ ]000,146951.17218.1537.140100+−−−=000,1466.125100+×−=hrBtu434,1b. Main Goal = ( )hrBtu566,12−=∆−Bm¡()898.434,1566,12566,12=−−−=−ηc.6951.11isen,2==SSInterpolating at 200 psia, 3.1342isen,2=H( )( )hrBtu1030.12323.13421001isen,2isen−=−−=−−=HHmW¡¡074.000,14030,1elecisen=−−==WWs¡¡η9-6 9.5 hrBtu000,1=Q¡B180°FA200°Fa. WL¡= ( )QTTQTTBoAo¡¡−−+−11=( )( )000,1640660537640660×−=−QTTTTTBAoBA¡= 25.4 Btu/hr b. WL¡= QTTToAB¡−11BT1= 000047.0021277.10005374.2547011+=×+=+QTWLToA¡¡BT= F2.R8.459°−=°F2.108.459470°=−=∆ABT- compared with 20°F 9-7 9.6 ( )[ ]( )[ ]( )( )( )[ ]molcal4.2593771621257K298173ln298298173Kmolcal7lnln----12121212−=−=+−−=−−⋅−=−−−=−−−=∆∆=∆=∆−=mWTTTTTcmWTTcTTTcmSTHmSTHmBmWoppopoo¡¡¡¡¡¡¡¡¡9-8 9.7 ASPEN PLUS Flowsheet - simulation results can be reproduced using the file EXER9-7.bkp on the CD-ROM. ASPEN PLUS Program IN-UNITS ENG DEF-STREAMS CONVEN ALL DATABANKS PURE10 / AQUEOUS / SOLIDS / INORGANIC / & NOASPENPCD PROP-SOURCES PURE10 / AQUEOUS / SOLIDS / INORGANIC COMPONENTS BENZENE C6H6 BENZENE / TOLUENE C7H8 TOLUENE FLOWSHEET BLOCK M1 IN=1 2 OUT=3 PROPERTIES IDEAL STREAM 1 SUBSTREAM MIXED TEMP=100. PRES=1. <atm> MOLE-FLOW=1000. SUBSTREAM MIXED TEMP=100....
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This note was uploaded on 04/10/2008 for the course CHE 233W taught by Professor Debelak during the Spring '08 term at Vanderbilt.

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ch09 - 9-1 CHAPTER 9 SOLUTIONS9.1 To furnaceHeat...

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