Solutions%20to%20Homework#6

# Solutions%20to%20Homework#6 - Assignment Solution 6...

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Assignment Solution 6 Chemical Engineering 2800 (Summer 2008) Fundamentals of Process Engineering University of Utah Dr.Mataz Alcoutlabi Problem 1 The reaction, A R + S is occurring in the reactor sketched below. The fractional conversion of A in the reactor is 0.65. The flash process recovers 99% of A to the recycle stream. Leaving the flash process to stream S3 are 95% of R and 99% of S. The column separates 100% of A and 99% of R to the tops and 98% of S to the bottoms. Calculate the molar flow rates (kgmol/ h) for A, R and S in streams S1, S2, S3, recycle, tops, and bottoms. Reactor Flash Column Mixer Feed 100 kgmol/h Recycle S1 S2 S3 Tops Bottoms F R ST SB Solution Reaction: A R + S Conversion of film reactor: 0.65 = x Flash: 99% A to recycle stream rf A 95% R and 99% S to S3 f R ,f S Column: 100% A to tops = d A 99% R to tops = d R 98% S to bottoms so d S =2% Feed Recycle S1 S2 S3 ST SB A 100 R 0 S 0 18 unknowns Balance on Mixer (3) 0 1 = - + A A A S R F 0 1 = - + R R R S R F 0 1 = - + S S S S R F Balance on Reactor (3)

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0 1 2 1 = - - A A A xS S S ; x = 0.65 0 1 2 1 = + - A R R xS S S 1 2 1 0 S S A S S xS - + = Balance on Flash (6) 0 3 2 = - - A A A S R S and A A A S f R 2 = ; f A = 0.99 0 3 2 = - - R R R S R S and ( 29 R R R S f R 2 1 - = ; f R = 0.95 0 3 2 = - - S S S S R S and ( 29 S S S S f R 2 1 - = ; f S = 0.99 Balance on column (6) 0 3 = - - A A A SB ST S and A A A S d ST 3 = , d A = 1.0 0 3 = - - R R R SB ST S and R R R S d ST 3 = , d R = 0.99 0 3 = - - S S S SB ST S and S S S S d ST 3 = , d S = 0.02 We have 18 equations A) Polymath POLYMATH Report Linear Equations 10-Jun-2008 Linear Equations Solution     Variable  Value  x1  53.02219  x2  5.23497  x3  1.004691  x4  153.0222  x5  5.23497  x6  1.004691  x7  53.55777  x8  104.6994  x9  100.4691  10 x10  0.5355777  11 x11  99.46442  12 x12  99.46442  13 x13  0.5355777  14 x14  98.46978  15 x15  1.989288  16 x16
17 x17  0.9946442  18 x18  97.47513  Coefficients matrix and beta vector

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## This note was uploaded on 09/07/2009 for the course CHEN 2800 taught by Professor Process during the Summer '08 term at Utah.

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Solutions%20to%20Homework#6 - Assignment Solution 6...

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