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