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: dCA2(t) dt2 + 2 2E + x) dC970+ E + x) cws6 = acaze +k CA2(t) CAO (24) dt The initial conditions are: CAZ(0) = 0 dCaz(t) = 0 dt 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(t). [5 marks]