z - peng robinson

P(kpa) T(K) Pc(kpa) Tc(K) R A B a b W f(Z) Z MW ρ kg/m3 V=ZRT/P 25000 300.00 4487.4 248.757 8.3145 1.593391 0.359401 396.5493 0.035859 0.06282 0.00000 0.72463 27.5618 381.222 0.072299 Calculate Z follow Peng Robinson Equation Z^3-(1-B)Z^2+(A-2B-3B^2)Z-(AB-B^2-B^3)=0 A=a*P/(R^2T^2) B=bP/R/T b=0,0778RTc/Pc m=0,37464+1,54226W-0,26992W^2 Note: Z is true if F(Z)=0 Tr=T/Tc Tci(k) Pci(kpa) yi MWi Mwi*yi Mw Pci*yi Tci*yi Pc(kpa) Tc(K) wi yi*wi W 27.5618 4487.4 248.7569 0.06282 C1 190.56 4599 0.7 16.043 11.2301 3219.3 133.392 0.0104 0.00728 C2 305.41 4800 0.1 30.07 3.007 480 30.541 0.0979 0.00979 C3 369.77 4240 0.05 44.097 2.20485 212 18.4885 0.1522 0.00761 iC4 407.82 3640 0.03 58.123 1.74369 109.2 12.2346 0.1852 0.005556 nC4 425.1 3784 0.02 58.123 1.16246 75.68 8.502 0.1995 0.00399 iC5 460.35 3381 0.01 72.15 0.7215 33.81 4.6035 0.228 0.00228 nC5 469.65 3365 0.01 72.15 0.7215 33.65 4.6965 0.2514 0.002514 nC6 506.4 3030 0.01 86.117 0.86117 30.3 5.064 0.2994 0.002994 nC7 539.2 2740 0.01 100.204 1.00204 27.4 5.392 0.3494 0.003494 nC8 568.4 2490 0.01 114.132 1.14132 24.9 5.684 0.3977 0.003977 nC9 594.7 2280 0.01 128.258 1.28258 22.8 5.947 0.4445 0.004445 nC10 617.7 2100 0.01 142.258 1.42258 21 6.177 0.4898 0.004898 CO2 304.11 7374 0.01 44.01 0.4401 73.74 3.0411 0.2667 0.002667 H2S 373.37 8963 0.01 34.082 0.34082 89.63 3.7337 0.0948 0.000948 N2 126 3399 0.01 28.0134 0.280134 33.99 1.26 0.0372 0.000372 H2O 647 22118 0 18 0 0 0 0.3443 0 Total 1 27.5618 4487.4 248.7569 0.062815 Solution is obtained by Goal Seek(see under Tools dropdown menu) by setting the value of the cell K2 at zero while changi a=0,45724R^2Tc^2/Pc*α α^0,5=1+m(1-Tr^0,5)

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Z - Peng Robinson

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Sheet1P(kpa)T(K)Pc(kpa)Tc(K)RABabWf(Z)ZMW kg/m3V=ZRT/P25000300.004487.4248.75698.31451.5933910920.3594005218396.54927565680.03585882770.0628150.000000.724625155827.5618381.2220.0722987503Calculate Z follow Peng Robinson EquationZ^3-(1-B)Z^2+(A-2B-3B^2)Z-(AB-B^2-B^3)=0A=a*P/(R^2T^2)B=bP/R/Ta=0,45724R^2Tc^2/Pc*^0,5=1+m(1-Tr^0,5)b=0,0778RTc/Pcm=0,37464+1,54226W-0,26992W^2Note: Z is true if F(Z)=0Tr=T/TcTci(k)Pci(kpa)yiMWiMwi*yiMwPci*yiTci*yiPc(kpa)Tc(K)wiyi*wiW27.56184487.4248.75690.062815C1190.5645990.716.04311.23013219.3133.3920.01040.00728C2305.4148000.130.073.00748030.5410.09790.00979C3369.7742400.0544.0972.2048521218.48850.15220.00761iC4407.8236400.0358.1231.74369109.212.23460.18520.005556nC4425.137840.0258.1231.1624675.688.5020.19950.00399iC5460.3533810.0172.150.721533.814.60350.2280.00228nC5469.6533650.0172.150.721533.654.69650.25140.002514nC6506.430300.0186.1170.8611730.35.0640.29940.002994nC7539.227400.01100.2041.0020427.45.3920.34940.003494nC8568.424900.01114.1321.1413224.95.6840.39770.003977nC9594.722800.01128.2581.2825822.85.9470.44450.004445nC10617.721000.01142.2581.42258216.1770.48980.004898CO2304.1173740.0144.010.440173.743.04110.26670.002667H2S373.3789630.0134.0820.3408289.633.73370.09480.000948N212633990.0128.01340.28013433.991.260.03720.000372H2O647221180180000.34430Total127.56184487.4248.75690.062815Solution is obtained by Goal Seek(see under Tools dropdown menu) by setting the value of the cell K2 at zero while changing cell L2

Sheet2

Sheet3

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