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# hw 3 - Homework#3 ChE 361 Spring 2010 Problem 1 Consider a...

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Homework #3 ChE 361 Spring 2010 Problem 1. Consider a constant volume, continuous stirred tank in which two feed streams of different binary compositions are mixed. The first feed stream has mass flow rate w 1 and mass fraction x 1 , and the second feed stream has mass flow rate w 2 and mass fraction x 2 . The outlet stream has mass flow rate w and mass fraction x . Assume that liquid density ρ and volume V are constant. The parameter values are: w 1 = 1 kg/min, x 1 = 0.8, w 2 = 3 kg/min, x 1 = 0.4, ρV = 2 kg. 1. (20 pts) Derive the following model equation by writing the necessary material balances: dx dt = f ( x ) 2. Show that the steady state outlet mass fraction is ¯ x = 0.5. Verify your answer with Matlab. Problem 2. Consider a constant volume, continuous stirred tank reactor in which the following irreversible reaction sequence occurs: A B , B C , 2 A D . The reaction rate constants are denoted k 1 (first reaction), k 2 (second reaction) and k 3 (third reaction). Let C A , C B , C C , and C D denote the molar concentrations of the four reaction species. The reaction rates per unit volume

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hw 3 - Homework#3 ChE 361 Spring 2010 Problem 1 Consider a...

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