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CBP-Tut4ans

# CBP-Tut4ans - Chemical and Biochemical Processes Reaction...

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Chemical and Biochemical Processes Reaction Engineering Tutorial 4 Reactors in Series 1. First draw a diagram: First we calculate concentration and molar flowrate after the PFR C A1 = C A0 (1-X A1 ) = 5(1-0.55) = 2.25 mol m -3 F A1 = F A0 (1-X A1 ) = 2(1-0.55) = 0.9 mol s -1 Next we must apply the CSTR design equation to the stirred tank. But we must note that the feed to the stirred tank is the outlet stream from the plug flow reactor, and therefore the design equation is: ) ( 2 1 2 A A A R r X F V - = Where in these notes, 2 A X denotes local conversion change across the CSTR. X A2 is reserved to represent overall conversion in the PFR-CSTR combination. As with all applications of the design equation, we have to substitute in a rate equation, in this case first order, giving: ( 29 2 1 2 2 2 2 1 2 1 ) ( A A A A A A A A R X kC X kC X r X F V - = = - =

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Then we rearrange algebraically to get 2 A X : 111 . 0 9 . 0 ) 25 . 2 )( 05 . 0 )( 1 ( 1 9 . 0 ) 25 . 2 )( 05 . 0 )( 1 ( 1 0 0 0 0 2 = + = + = A A r A A r A F kC V F kC V X And hence C A2 = C A1 (1- 2 A X ) = 2.25(1-0.111) = 2 mol m -3 Overall conversion X
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CBP-Tut4ans - Chemical and Biochemical Processes Reaction...

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