# hw8 - C Ain s = 1 and C Rin s = 1 4 Suppose the system...

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Home Assignment Problem 1 : An autocatalytic reaction A R takes place in a constant volume isothermal reactor. Component mass balances give the following reactor model: dC A dt = F V ( C Ain - C A ) - kC A C R dC R dt = F V ( C Rin - C R ) + kC A C R (1) In the above model C Ain and C Rin are the inputs C A and C R are the states At steady state C Ain s = 1 and C Rin s = 1 F V = 1 k = 2 1. Find the steady state values of C A and C R when C Ain s = 1 and C Rin s = 1. 2. Find the steady state values of C A and C R when C Ain s = 1 . 5 and C Rin s = 1 . 5. 3. Linearize the system around the steady state values corresponding to
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Unformatted text preview: C Ain s = 1 and C Rin s = 1. 4. Suppose the system states are initially at their steady state values corresponding to C Ain s = 1 and C Rin s = 1 but both inputs suddenly increase to 1.5 from 1.0. How do C A and C R change with time in the linearized system? Does the system eventually go to the new steady state that you found in part 2. 1...
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