The dynamic response of a stirred-tank bioreactor can be represented by the transfer function C'(s) = 5/(3s +1) %3D C:'(s) where C' is the exit substrate concentration (mol/liter), and C,' is the feed...

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Extracted text: The dynamic response of a stirred-tank bioreactor can be represented by the transfer function C'(s) = 5/(3s +1) %3D C:'(s) where C' is the exit substrate concentration (mol/liter), and C,' is the feed substrate concentration (mol/liter). F a) Derive an expression for c'(t) if c,'(t) is a rectangular pulse with the following characteristics: 12 t <0 cf="" (t)="{5"><2 %3d=""><0 b)="" what="" is="" the="" maximum="" value="" of="" c'(t)?="" when="" does="" it="" occur?="" what="" is="" the="" final="" value="" of="" c'(t)?="" c)="" if="" the="" initial="" is="" c(0)="1," how="" long="" does="" it="" take="" for="" c(t)="" to="" return="" to="" a="" value="" of="" 2.10="" after="" it="" has="" reached="" its="" maximum="" value?="">