I03[1]

SAM(1)--pvTCO2O2N2H2CO(2)cpcv),()()ddd(dvTcTuTvpuTqcvvvvv==+==∂∂δcvcv1K),(vTccvv=),()()ddd(dpTcThTpvhTqcppppp=∂∂=−==δ1K),(pTccpp=()28SAM(3)pcvcpcvc),(pTccpp=),(vTccvv=(4)u=Th=cvcpT1221d)(uuTTcqvv−==∫1221d)(hhTTcqpp−==∫(5)())/d()/d(d)/d()/d(/)dd()/(d)/d()/d(/)dd()/(dvvcppcsppRTTcTpvhTqsvvRTTcTvpuTqspvprevvrev+=−=−==+=+==δδ1229SAM12121212lnlnvvRTTcsssv+=−=∆12121212lnlnppRTTcsssp−=−=∆12121212lnlnvvcppcssspv+=−=∆(6)3-(6)1.T-s()3412ss∆=∆2.T-s()3412//TTTT=1324(a)13pp=24pp=1234T1=T2T3=T434341212)/ln()/ln(sppRppRs∆=−=−=∆()1324(b)13pp=24pp=12340lnln121212=−=∆ppRTTcsp0lnln343434=−=∆ppRTTcsp)/ln()/ln()/ln()/ln(34341212TTcppRppRTTcpp===3412//TTTT=()(7)3-(7)1.p-v()5612//vvvv=3412//vvvv=30SAM2.p-v()5612//pppp=3412//pppp=3-(6)(8)1t2t21ttpc-tpc3-(8)(t)(t)pctpc00t()21ttpc1t2t21ttpc1210201212121212)(tttctcttqtthhtptpp−×−×=−=−−=21ttvc1210201212121212)(tttctcttqttuutvtvv−×−×=−=−−=1K1K(9)uh0sTuThT780T0K00.1MPa0K0T0.1MPaT00.1MPa780u0h00Ts0T0T0T00Ts00s0Ts0p0Ts(10)Mpcpcvcpc′vc′M=m/n=R/RR=R/M()31SAMRccpv−=k=/pcvcc=Mc=22.4c'pc=MpcppcMc)4.22(=′vvMcc=vvcMc)4.22(=′kRMpcvc(11)1.2.3.p-vT-s4.uhs5.(12)Tvp)(∂∂svp)(∂∂vsT)(∂∂psT)(∂∂p-vTvp)/(∂∂vpvpT/)/(−=∂∂(13)vpwvd=δpvwtd−=δsTqd=δdudTdhdTvcpc32SAMdT0du0dh0ds0qδ0dv00vwδdp00twδp-vT-s1u0h0u0h02ds0qδ0ds0qδ03dv0dv00vwδ0vwδ4dp0dp00twδ0twδ(14)nnc)1/(112/11221)/()/(/−==nnTTppvv;nnppTT/)1(1212)/(/−=n)/ln(/)/ln(/)1()/ln(/)/ln()1()/ln(/)/ln(121212211221ppTTnnvvTTnvvppn=−=−=)1/()(−−=nknccvnnN-nnc(15)(a)21uuwv−=(b))1/()()(2121−−=−=kTTRTTcwvv])(1[11/)1(121kkvppRTkw−−−=(c)(a)(b)(c)(16)33SAMUSUF()()ihu=2ikTT=2SSSF(17)(18)RcpMkvc′vcpc′pc(RkM)(R)RMkpcvcpcpcpiicxiiRxvcvc′pc′vcpc3-1k=1.395M=32(1)(2)(3)(4)1N3m(5)p=0.1MPaT=500(1)R=R/M=8.4143/32=0.2598kJ/(kg·K)=R/(k-1)=0.2598/(1.395-1)=0.6578kJ/(kg·K)vc34SAM=k=1.3950.65780.9176kJ/(kg·K)pcvc(2)/kgNm67.0325.101/)2732598.0(/3000=×==pRTv(3)cMcc′==4.22pc=M=320.9176=29.36kJ/(kmol·K)pcpc′=pc/22.4=29.36/22.4=1.31kJ/(N·K)3m(4)0ρ=101.325/(0.2598273)=1.4925kg/N0000//1RTpv==ρ3m(5)p=0.1MPaT=500v=RT/p=(8.3143773)/100=64.27/kmol3m3-2r(RMkixiRvicvcpcvc′pc′vcpc))/()/(/iiiiiiRRyMMymmx====1=1ixiy∑=iiRxRMm/nRR/8.3143/RU=iU+Rk=/vcixvicpcvcpcvcpcMpcvc=pcR−pc′=pc/22.4vc′=4.22/vc3-3252503500N/h3m(1)(2)(3)31.293kJ/(N·K)1.2933500=4526kg/h0ρ3mVm&&0ρ=1=1.004pc=45261.004225=1022.423MJ/h)(12TTcmQp−=&&25250pc=1.0042500pc=1.015525025pc=(1.0155250-1.00425)/225=1.0168kJ/(kg·K)mQ&&=25025pct=45261.01682251035.458MJ/h3298K523K735SAMh1=298kJ/kgh2=526kJ/kg(hmQ&&=2-h1)=4526(526-298)=1031.928MJ/h3-41kg1001500(1)(2)(3)(4)(1)u=0.7411500-1001037.4kJ/kgTcv∆h=cpT1.0381500-1001453.2kJ/kg210201221tctctcutvtvttv×−×=∆=∆=0.8631500-0.744100=1220.1kJ/kg10201221tctctchtptpttp×−×=∆=∆=1.1601500-1.04100=1636kJ/kg(3))()(12TuTuu−=∆)(2Tu=41591+(42685-41591)13/40=41946.6kJ/kmolu()=2T)(2Tu/M=41946.6/28.016=1497.2kJ/kg)(1Tu=7478+(8314-7478)13/40=7749.7kJ/kmol=)(1Tu)(1Tu/M=7749.7/28.016=276.6kJ/kg=1497.2-276.6=1220.6kJ/kg)()(12TuTuu−=∆)()(12ThThh−=∆)(2Th=56227+(57651-56227)13/40=56689.8kJ/kmolh()=2T)(2Th/M=56689.8/28.016=2023.5kJ/kg)(1Th=10471+(11640-10471)13/40=10851kJ/kmol)(1Th=)(1Th/M=10851/28.016=387.3kJ/kg=2023.5-387.3=1636.2kJ/kg)()(12ThThh−=∆(4)325.14.8207.107279.512060.39−−−−+−=θθθpckJ/(kmol·K)T/100)()(12ThThh−=∆=56690-10852=45838kJ/kmolTRhu∆−∆=∆=45838-8.31431400=34198kJ/kmolMhh/∆=∆=45838/28.016=1636.1kJ/kgMuu/∆=∆=34198/28.016=1220.7kJ/kg(2)(3)(4)(2)(3)0t0KTK(4)T1T236SAMT1T23-51kg1001500uh=cvqvTtcqttvv∆=21=)()(12TuTuqv−=vq∫Tcvdqp=cpTtcqttpp∆=21)()(12ThThqp−=∫=Tcqppd()qpqvuh3-6V(=0)a=(=0.5)1p0p2p0p=0.5Tdm/d=a()2p0p2T0Tpp−0pV=mRTpdV+Vdp=mRdT+RTdmdV=0T=dT=0dm=a()d0Tpp−0dp=RTdm/V=(R/V)a()d0Tpp−0dVdp/[aRT0()]=-Vd()/[aR()]pp−0pp−00Tpp−0p=0p=[V/(aR)]ln22/0p0TV(=0)Tk(=0.5)1p2T0T2p0pVln2/(aRkT0)3-70.5kg0.25MPa3000.15MPa150UHSp-vT-s1p1T2p2T(1)UHS=0.50.716(-150)=-53.7kJ)(12TTmcUv−=∆=0.51.004(-150)=-75.3kJ)(12TTmcHp−=∆)]/ln()/ln([1212ppRTTcmSp−=∆=0.5[1.004ln(423/573)-0.2871ln(0.15/0.25)]=-0.079kJ/K(2)nnc37SAM=ln(423/573)/ln(0.15/0.25)=0.5942)/ln(/)/ln(/)1(1212ppTTnn=−n=2.464=0.716(2.464-1.4)/(2.464-1)=0.52kJ/(kg·K))1/()(−−=nknccvn=-0.079kJ/K)/ln(12TTmcSn=∆(3))(12TTmcQn−==0.50.52(-150)-39.03kJW=Q-U=-39.03-(53.7)=14.67kJp-vT-s3-80.097MPa127=16%=6%=6.2%2COx2OxOH2x(1)(2)(3)10kg(4)27kg12q12u∆12h∆CO2O2H2ON2xi1666.271.8Ri0.18890.25980.46150.2689Mi44.013218.01628.016cpi0.8500.9171.8631.038(1)RM∑=iiRxR0.160.1889+0.060.2598+0.0620.4615+0.7180.29680.2875kJ/(kg·K)MR/R8.3143/0.2875=28.917kg/kmol(2)ppRRxyiiii//==10.5%=5.4%10%74.1%2COy2OyOHy22Ny=10.2=5.3=9.7=71.8kPa2COp2OpOHp22Np(3)10kgn=m/M=10/28.917=0.346kmolmxmii=nynii=1.60.60.627.18kg2COm2OmOHm22Nm=0.036=0.019=0.035=0.256kmol2COn2OnOHn22Nn(4)quh∑=piipcxc=1.0518kJ/(kg·K38SAMRccpv−==1.0518-0.2875=0.7643kJ/(kg·K)hTcqp∆=∆==1.0518(27-127)=-105.18kJ/kgTcuv∆=∆=0.7643(27-127)=-76.43kJ/kg3-9cpR3O2N2H2OCO2COO2N2mikg0.050.750.050.140.011.153.85cpikJ/(kgK)0.9171.0381.8630.8501.0420.9171.038RikJ/(kgK)0.25980.29680.46150.18890.29680.25980.2968cp1R1iyR2pc2iy0.050.750.050.140.011.0kg1mim0.050.750.050.14=0.012Ox2NxOHx22COxCOx1pcpiicx0.050.9170.751.0380.051.8630.140.850.011.0421.047kJ/(kgK)R1iiRx0.050.2598