# hw4 - Does the system reach a steady state if you simulate...

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Home Assignment Problem 1 : Consider the following dynamic system that represents an isothermal, unsteady state CSTR: dC A dt = F V C Ain - F V C A - k 1 C 2 A dC B dt = - F V C B + k 1 C 2 A - k 2 C B dC C dt = - F V C C + k 2 C B If C A (0) = 1 , C B (0) = 0 , C C (0) = 0 , F V = 1 , k 1 = 2 , k 2 = 1 . 5, simulate the above system in MATLAB for the following input C Ain C Ain = ( 1 . 5 0 t < 2 2 . 5 t 2 Make sure you deﬁne your x and u appropriately before you start coding in MATLAB.
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Unformatted text preview: Does the system reach a steady state if you simulate the system for a large ﬁnal time? Do you get the same steady state if you do this problem by hand calculations and put the time derivatives equal to zero and assume that C Ains = 2 . 5? Show calculations to support your answer. 1...
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