Question

If the rate of deactivation is given by –\(\frac{da}{dt}\) = 0.0064 day^-1, the expression relating activity and time is ___

(a) a = 0.0064t

(b) a = 1-0.0064t

(c) a = t

(d) a = 0.0064-t

The question was posed to me at a job interview.

My question is based upon Mechanisms of Catalyst Deactivation topic in division Suspended Solid Reactors, Catalyst Deactivation, Diffusion and Reaction of Chemical Reaction Engineering

Answer 1

The correct option is (b) a = 1-0.0064t

The explanation is: –\(\frac{da}{dt}\)  = 0.0064

–\(\int_1^a\)da = 0.0064\(\int_0^t\)dt

Integrating, a = 1-0.0064t