化工熱力學(xué)(第三版)答案陳鐘秀

1、21.使用下述方法計(jì)算1kmol甲烷貯存在體積為0.1246m3、溫度為50℃的容器中產(chǎn)生的壓力：（1）理想氣體方程；（2）RK方程；（3）普遍化關(guān)系式。解：甲烷的摩爾體積V=0.1246m31kmol=124.6cm3mol查附錄二得甲烷的臨界參數(shù)：Tc=190.6KPc=4.600MPaVc=99cm3molω=0.008(1)理想氣體方程P=RTV=8.314323.15124.6106=21.56MPa(2)RK方程22.522

2、.560.5268.314190.60.427480.427483.2224.610ccRTaPamKmolP?????????53168.314190.60.086640.086642.985104.610ccRTbmmolP?????????∴??0.5RTaPVbTVVb????????50.5558.314323.153.22212.462.98510323.1512.461012.462.98510????????????=1

3、9.04MPa(3)普遍化關(guān)系式＜2323.15190.61.695rcTTT???124.6991.259rcVVV???∴利用普壓法計(jì)算，01ZZZ???∵crZRTPPPV??∴crPVZPRT?654.61012.46100.21338.314323.15crrrPVZPPPRT????????迭代：令Z0=1→Pr0=4.687又Tr=1.695，查附錄三得：Z0=0.8938Z1=0.4623=0.89380.0080.46

4、23=0.897501ZZZ???此時(shí)，P=PcPr=4.64.687=21.56MPa同理，取Z1=0.8975依上述過程計(jì)算，直至計(jì)算出的相鄰的兩個(gè)Z值相差很小，迭代結(jié)束，得Z和P的值?！郟=19.22MPa22.分別使用理想氣體方程和Pitzer普遍化關(guān)系式計(jì)算510K、2.5MPa正丁烷的摩爾體積。已知實(shí)驗(yàn)值為1480.7cm3mol。解：查附錄二得正丁烷的臨界參數(shù)：Tc=425.2KPc=3.800MPaVc=99cm3mol

5、ω=0.193????016111111618.314132.90.029890.0490.13367.378103.49610ccRTBBBP???????????????021.61.620.4220.4220.0830.0830.3417303304.2rBT????????124.24.220.1720.1720.1390.1390.03588303304.2rBT??????????016222222628.314304.20

6、.34170.2250.03588119.93107.37610ccRTBBBP?????????????又????0.50.5132.9304.2201.068cijcicjTTTK????331313131331293.194.093.5522cccijVVVcmmol?????????????????120.2950.2740.284522cccijZZZ?????120.2950.2250.13722cij??????????6

7、0.28458.314201.06893.55105.0838cijcijcijcijPZRTVMPa???????∴303201.0681.507rijcijTTT???0.10135.08380.0199rijcijPPP???0121.61.6120.4220.4220.0830.0830.1361.507rBT??????1124.24.2120.1720.1720.1390.1390.10831.507rBT?????∴???

8、?01612121212126128.314201.0680.1360.1370.108339.84105.083810ccRTBBBP?????????????2211112122222mByByyByB?????????26626630.247.3781020.240.7639.84100.76119.931084.2710cmmol?????????????????????∴→V=0.02486m3mol1mmBPPVZRTRT?