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# midterm1 - 10.37 first midterm 3 problems total Problem...

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10.37 first midterm March 23, 2007 3 problems total Problem 1. (40 points total) The following liquid-phase hydration reaction occurs in a 10,000 L CSTR: A + H 2 O ⎯ ⎯ B With a first-order rate constant of 2.5 x 10 -3 min -1 . a) (20 points) What is the steady-state fractional conversion of A if the feed rate is 0.3 L/sec and the feed concentration C A,o = 0.12 mol/L? b) (10 points) If the feed rate suddenly drops to 70% of its original value and is maintained there, what is the fractional conversion of A after 60 minutes, and what is the new steady state fractional conversion? c) (10 points) What is the ratio of the steady-state productivity (moles/time) of B for case b) relative to case a)? Problem 2. (30 points) A 600 L tank reactor gives 75% conversion for a first order irreversible reaction. However, the paddle turbine motor is underpowered and so the tank is not well stirred. In fact, a pulse-tracer experiment to determine the residence time indicates that approximately 400 L of the tank may be considered as a dead volume that does not interact appreciably with the input or output streams.

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