The correct difference between first and second order reactions is that

Options

A. The rate of a first – order reaction does not depend on reactant concentration, the rate of a second – order reaction does depend on reactant concentrations
B. The half – life of a first – order reaction does not depend on `[A]_(0)` , the half – life of a second – order reaction does depend on `[A]_(0)`
C. A first – order reaction can be catalyzed , a second – order reaction cannot be catalyzed
D. The rate of a first – order reaction does depend on reactant concentrations, the rate of a second – order reaction does not depend on reactant concentrations

Answer

B

Explanation

`t_(1//2)=(0.693)/(k)` for first order reaction
`k=(x)/(a(a-x)k)`
`t_(1//2)=(a//2)/(a(a-a//2)k)=(1)/(ak)`
`t_(1//2)=(1)/(k_(a))`
`t_(1//2) prop (1)/(a)`
`:.` half life of first order reaction does not depend on `[A_(0)]`.