$AB+C$ first order reaction, the following data were obtained in a differential reactor containing $W=5g$ catalyst. $k=3\frac{m^3}{k}g$ hour ${?}^{-1}$ feed is pure A and the volumetric flow rate is $v=2\frac{m^3}{?}$ hour.

a$)$ Calculate the catalyst degradation degree and constant.

b$)$ Considering the catalyst decavitation time, what type of reactor is suitable for this catalyst? Why?

Please explain.