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Find the solution using polymath software Question 2 Xylene, styrene, toluene and benzene are to be separated with the array of distillation columns that is

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Find the solution using polymath software

Question 2 Xylene, styrene, toluene and benzene are to be separated with the array of distillation columns that is shown below where F, D, B, D1, B1, D2 and B2 are the molar flow rates in mol/min. Material balances on individual components on the overall separation train yield the equation set Xylene: 0.07D1+0.18B1+0.15D2+0.24B2=0.1570 Styrene: 0.04D1+0.24B1+0.10D2+0.65B2=0.2570 Toluene: 0.54D1+0.42B1+0.54D2+0.10B2=0.4070 Benzene: 0.35D1+0.16B1+0.21D2+0.01B2=0.2070 Overall balances and individual component balances on column \#2 can be used to determine the molar flow rate and mole fractions from the equation of stream D from Molar Flow Rates: D=D1+B1 Xylene: XDxD=0.07D1+0.18B1 Styrene: XDsD=0.04D1+0.24B1 Toluene: XDtD=0.54D1+0.42B1 Benzene: XDbD=0.35D1+0.16B1 where XDx= mole fraction of X ylene, XDs= mole fraction of Styrene, XDt= mole fraction of Toluene, and XDb= mole fraction of Benzene. Similarly, overall balances and individual component balances on column #3 can be used to determine the molar flow rate and mole fractions of stream B from the equation set Molar Flow Rates: B=D2+B2 Xylene: XBxB=0.15D2+0.24B2 Styrene: XBsB=0.10D2+0.65B2 Toluene: XBtB=0.54D2+0.10B2 Benzene: XBbB=0.21D2+0.01B2 (a) Calculate the molar flow rates of streams D1,D2,B1 and B2. (b) Determine the molar flow rates and compositions of streams B and D

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