146_2009probset33 - ECH 146 Winter, 2009 Problem Set 3 Due...

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ECH 146 Winter, 2009 Problem Set 3 Due 1/23/09 This problem set requires the application of chemical kinetics combined with mole balances for ideal reactors. It will require some study of the textbook for material not covered in class. 1. A CSTR of volume V was initially filled with an inert solvent at a temperature of 100 °C. At time zero, a flow of reactant A at a concentration C A0 was started at a constant volumetric flow rate v . There was no volume change on reaction, and the temperature was maintained at 100 °C. The reaction was irreversible, with the stoichiometry 2A B + C and proceeded by first-order kinetics with a rate constant k . The concentration of A in the product stream is described by the following equation, where t is time: C A = C A0 /[1 + Vk / v ] – {[ C A0 /(1 + Vk / v )]exp{-(1 + Vk / v )( t /[ V / v ])} where k = 10 -2 min -1 , V is 1000 liters, and v is 20 liters/min. If the steady-state concentration of A in the product was 1.0 mol/liter, estimate A. The time required for the concentration of A to become equal to 99% of the steady-
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146_2009probset33 - ECH 146 Winter, 2009 Problem Set 3 Due...

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