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Equation Q4 describes the response of Caz(t) which is the concentration of species A in the second CSTR to a step change of magnitude CAo

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Equation Q4 describes the response of Caz(t) which is the concentration of species A in the second CSTR to a step change of magnitude CAo in the inlet concentration for t > 0: 2 de GO +60 2&+x) dca0) +&+k)*C t) dt2 2 dCaz(t) dt CA2(t) = CAO (24) The initial conditions are: CAZ(O) = 0 = dCaz(t) dt = 0 t=0 a) Use Laplace Transform in order to obtain an algebraic expression for Caz(s) in terms of the process open-loop time constant t, and CAO- [5 marks] b) Use Partial Fraction Expansion to determine CA2(C). [5 marks)

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