Question

The half-life of a reaction is halved as the initial concentration of the reactant is doubled. The order of the reaction is?

Answer 1

The half-life of a reaction, $t_{1/2}=2$

$t_{1/2}\propto \frac{1}{a^{n-1}}$

$t_{1/2}\propto \frac{1}{a^{n-1}}$ (for $2^{nd}$ order reaction)

$t_{1/2}\propto \frac{1}{a}$

$t_{1/2}=2$.