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Consider a continuous stirred tank reactor, CSTR. Given that c A i and c A represent molar concentrations of A (in mol/m 3 ) at

Consider a continuous stirred tank reactor, CSTR. Given that cAi and cA represent molar concentrations of A (in mol/m3) at inlet and outlet streams, respectively. Ti and T denote the inlet and outlet temperatures (in 0C) whereas Fi and F denote the inlet and outlet volumetric flowrates (in m3/min), respectively.

  1. If a first order endothermic reaction AB takes place in the CSTR, and the volume is not constant, discuss the relevant conservation equations that are required in order to derive the unsteady-state models relating the system variables V, cA and T. Sketch the schematic diagram. Derive the unsteady-state models and state your assumptions clearly.

[40 marks]

  1. If the endothermic reaction now is second order with respect to cA, and assuming constant holdup (V=constant), derive the unsteady-state (dynamic) models and find the transfer functions for CA(s)/CAi(s). Discuss how your dynamic models would differ from those obtained in part (a).

[40 marks]

  1. If the reaction is now isothermal, discuss how your dynamic models would differ from those obtained in parts (a) and (b)?

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