Question

7% Xylene 4% Styrene 54% Toluene 35% Benzene 18% Xylene 24% Styrene 42%Toluene 16% Benzene { 15% Xylene 25% Styrene 40% Toluene 20% Benzene 15% Xylene 10% Styrene 54% Toluene 21% Benzene D F- 24% Xylene 65% Styrene 10% Toluene 1% Benzene 105 kg/min Xylene 0.07 0.18 0.15 0.24 внS Xylene INV 281048 1.221774 1A0342 6.0004 175 kg/mn 28 kg/min 14 kg/min Styrene 0.04 0.24 0.65 Styrene 94.3629 -25.83c6 -35.6855 41.1371 Teluene 0.54 0.42 0.54 0.1 Toluene -66.0444 20.24557 30.52823 -36.2056 Benzene 0.35 0.16 0.21 0.01 Веnene 24.5081 9.362903 8.959677 9.99194 Question: kylene, styrene, toluene, and benzene are to be separated with an shown in the fiqure. F,D,B,D1, B1, D2, and B2 are the mass flow rates in kg/min. If F(feed rate at column # 1 ) is ay of distillation columns that is 70kg/min, calculate the mass flow of the product streams D1,B1,D2 and B2. Don't be the concemed with streams B or D yet. Hint: perform a material balance on the four chemical components and solve with excel matrices. Be sure to label your answers and units. Now calculate B and D and their compositions by performing individual material balances on column #1 and column # 2.

Answer 1

GIVEN DATA:

Xylene,styrene,toluene, and benzene are to be separated with an array of distillation colums tha is show in figure.

F,D,B,D1,B1,D2,and B2 are the mass flow rates in kg/min.

ANSWER IN EXCEL:

J U b M W AA First the four cormponent balance had been solved usirg the matrix mme thod and thereby we the D1, B1 & D2, B2 7% Xylene 4% Styrene 7 EQUATION MATRIX RHS Ds 0.15 KG/MIN XYLENE 0.07 0.18 0.24 XYLENE KG/MIN STYRENE 0.04 0.24 0.1 0.65 STYRENE 10 o.01 12 RENZENE BENZENE 13 18% Xylene EQUTION MATRIX INVERSE 14 SOLUTION MATRIX 15 42% Toluene -2.81048 1.22177 -1.80242 6.06048 D KG/MIN 26.25 18 5 Aylene 16% Benzene 5.6855 41.1371 KG/MIN 94.3629 -29.8306 17.5 17 40% Toluene 15% Xylene -66.0444 20.246 30.5282-36.2056 8.95968-9.99194 D 8.75 KG/MIN 19 20% Benzene 10% Styrene KG/MIN -24.5081 9.3629 17.5 19 F 21 NOW THE COMPONENT BALANCE HAD BEEN APPLIED AND SOLVED FOR THE REST Two DISTILLATION COLUMNS 22 23 #2 #1 Mol fracn Mol fracn 24 B 13 31 65 Styrene 0 12 46667 { STYRENE STYRENE Ba TOLUENI 10% Toluene 27 0.492 TOLUENE 6.475 0.24667 21.525 BENZENE 11.9875 |0.07667 1% Benzene 29 0.274 BENZENE 2.0125 29 43.75 KG/MIN 26.25 KG/MIN Total Tatal THE RESULT IS SHOWN ABOVE AND IN THIS WAY THIS DISTILLATION TRAIN HAD BEEN SOLVED. 12