che446_10_hw1

# che446_10_hw1 - Homework#1 ChE 446 Fall 2010 Problem 1...

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Unformatted text preview: Homework #1 ChE 446 Fall 2010 Problem 1. Consider a stirred tank in which two liquid streams are mixed to produce a binary mixture for a distillation column. The first stream has mass flow rate w 1 and mass fraction x 1 , and the second stream has mass flow rate w 2 and mass fraction x 2 . The cylindrical stirred tank has cross-sectional area A and liquid height h . The mass flow rate exiting the tank is related to the level as w o = C v √ h , where C v is the valve coefficient. The composition exiting the tank is denoted x o . Assume that the liquid density ρ is independent of composition. The first stream mass fraction x 1 is a time-varying input. 1. Derive the dynamic model equations. 2. Solve the steady-state equations for the steady-state inlet composition ¯ x 1 = 0.5 and the parameters values w 1 = 1, w 2 = 3, x 2 = 0.1, C v = 4 and ρA = 2. Problem 2. Consider a chemical reactor in which the reaction A → B occurs. The volumet- ric flow rate and concentration of the inlet stream are...
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che446_10_hw1 - Homework#1 ChE 446 Fall 2010 Problem 1...

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