1. A two-stage continuous flow stirred tank reactor (CSTR) is used for a first order reaction. Both reactors are the same volume. The first stage is run adiabatically while the

second stage is kept at the exit temperature of the first stage. You are given the following data. \mathrm{k}\left(\min ^{1}\right), \text { rate constant }=e^{\left(2.5\left[\begin{array}{c} 450 \\ \gamma+46 n \end{array}\right]\right)} \Delta H_{r} \text { (Btu/lb mol), heat of reaction, }-20,000 V\left(\mathrm{ft}^{3} \mathrm{~min}^{1}\right) \text {, fced flow rate, } 50 \rho \text { (densily of reaction syslem) }-50 \mathrm{lb} \mathrm{h}^{-3} \mathrm{C}_{\mathrm{P}}\left(\mathrm{B} \mathrm{tu} \mathrm{lb}^{1} \mathrm{C}^{1}\right), \text { heat capacity of reaction system }=0.75 T_{0} \text { (feed inlet temperature). } 150^{\circ} \mathrm{F} \text { Cao (reactant inlet concentration), } 0.25 \mathrm{lb} \mathrm{mol} \mathrm{ft}^{-3} \text { Caz (reactant outlet concertation from second reactor (0.5 } \mathrm{lb} \mathrm{mol} \mathrm{ft}^{3} \text { ) (i.e., } 80 \% \text { conversion) } (a) The reaction temperature, (b) The volumc of cach rcactor. The two rcactors arc the same sizc (b) The volume of cach reactor. The two reactors arc the same size (c) The required heat removal from the stage 2 rcctor.