Problem $2.(35$ pts$)$ In the two

continuous stirred tank reactors

shown in Figure $1$ the reaction $R$

$P$ takes place under constant

temperature, volume and inlet

volumetric flowrates. The

concentration of the reactant in the

two feed streams is $C_{R,0}$ and is the

main disturbance to the system.

Derive the transfer function between

the fresh feed concentration and the

Figure $1$

concentration of the reactant in the two tanks. The reaction is first order with respect to the reactant

concentration.