Question: 1. STEADY STATE MATERIAL BALANCES ON A SEPARATION TRAIN 1.1 Problem Statement Xylene, styrene, toluene and benzene are to be separated with the array of

 1. STEADY STATE MATERIAL BALANCES ON A SEPARATION TRAIN 1.1 ProblemStatement Xylene, styrene, toluene and benzene are to be separated with the

1. STEADY STATE MATERIAL BALANCES ON A SEPARATION TRAIN 1.1 Problem Statement Xylene, styrene, toluene and benzene are to be separated with the array of distillation columns that is shown below where F, D, B, DI, BI, D2 and B2 are the molar flow rates in mol/min. D { 7% Xylene 4% Styrene 54% Toluene 35% Benzene D B #1 18% Xylene 249 Styrene 42% Toluene 16% Benzene 15% Xylene 25% Styrene 40% Toluene 20% Benzene 1 D2 { 15% Xylene 10% Styrene 5496 Toluene 21% Benzene F=70 mol/min B B 249 Xylene 65% Styrene 10% Toluene 1% Benzene Figure 1 Separation Train Problem 2. STEADY STATE MATERIAL BALANCES ON A SEPARATION TRAIN Page 7 Material balances on individual components on the overall separation train yield the equation set Xyleme: 0.07D1 +0.18B1+0.15D2 +0.24B 2 = 0.15 x 70 Styrene: 0.04D1 +0.2481 +0.10D 2 +0.65B 2 = 0.25 x 70 (6) Toluene: 0.54D1 +0.42B1 +0.54D 2 +0.10B 2 - 0.40 x 70 Benzene:0.35D +0.16B 1+0.21D 2 +0.01B 2 0.20 x 70 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=D 1+B1 Xylene: XDxD = 0.07D1 +0.18B1 Styrene: XDs D = 0.04D1 + 0.24B1 Toluene: XD D - 0.54D1 + 0.42B1 Benzene: XDb D = 0.35D1 +0.16B1 where XDx = mole fraction of Xylene. XD: = mole fraction of Styrene. XD = 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 =D2B2 Xylene: XBxB = 0.15D2 +0.24B2 Styrene: XB: B = 0.10D2 + 0.65B2 (8) Toluene: XBt B = 0.54D2 + 0.10B2 Benzene: XBb B=0.21D2 +0.01B2 (a) b) Calculate the molar flow rates of streams D, D, B, and B;. Determine the molar flow rates and compositions of streams B and D

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