The correct difference between first and second order reactions is that-

Options

A. 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
B. the rate of a first order reaction does not depend on reactant concentrations , the rate of a second order reaction does depend on reactant concentrations
C. a first order reaction can be catalysed, a second order reaction cannot be catalysed
D. 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)`

Answer

D

Explanation

For first order reaction , `t_(1//2)=(0.693)/(k)`
Thus, `t_(1//2)` is independent of the initial concentration.
For second order reaction , `t_(1//2)=(1)/(k[A]_(0))`
Where `t_(1//2)` depends on the initial concentration of reactant.