che446_10_hw6

# che446_10_hw6 - Homework#6 ChE 446 Fall 2010 Consider a...

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Homework #6 ChE 446 Fall 2010 Consider a constant volume isothermal CSTR in which the following series-parallel reaction known as the van de Vusse reaction scheme takes place: A k 1 -→ B k 2 -→ C 2 A k 3 -→ D The intermediate component B in the series reaction is the desired product. The molar rate of formation (per unit volume) of each component is r A = - k 1 C A - k 3 C 2 A r B = k 1 C A - k 2 C B r C = k 2 C B r D = 1 2 k 3 C 2 A The dynamic model equations are: dC A dt = F V ( C Af - C A ) - k 1 C A - k 3 C 2 A dC B dt = - F V C B + k 1 C A - k 2 C B where F/V is the dilution rate, C X is the concentration of component X , and k i is the rate constant for the i th reaction. Notice that neither of the equations depend on the concentration of component C or D . Since we are only concerned about the concentration of B , the balances for the other two components are not needed. 1. Consider the following parameter values: k 1 = 5/6 min - 1 , k 2 = 5/3 min - 1 , k 3 = 1/6 mol L · min , and C Af

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che446_10_hw6 - Homework#6 ChE 446 Fall 2010 Consider a...

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