The correct difference between first and second order reactions is that
- 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
- 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
- a first-order reaction can be catalysed; a second-order reaction cannot be catalysed
- 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
(2) 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
Solution
Rate of a first-order reaction = k[A] and of a second-order reaction = k[A]2 ⇒ both depend on concentration ⇒ (1) and (4) are wrong.
Any reaction, whatever its order, can be catalysed ⇒ (3) is wrong.
First order: t1/2 = 0.693k ⇒ independent of [A]0
Second order: t1/2 = 1k[A]0 ⇒ depends on [A]0
Answer: (2)