The correct difference between first and second order reactions is that

Options

A. A first order reaction can be catalysed, a second order reaction cannot be catalysed.
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. 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.
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.

Explanation

For a first order reaction
`t_(1//2)=0.6932/k`
For a second order reaction
`t_(1//2)=(2^(n-1)-1)/((n-1)k[A_(0)]^(n-1)),n=2`
`t_(1//2)=(2^(2-1)-1)/((2-1)k[A_(0)]^(2-1)) rArr t_(1//2)=1/(k[A_(0)])`