Question

A set of initial concentration and half-life periods are given for a reaction. The order of the reaction is______

Initial conc. $\left(mol{L}^{-1}\right)$ 350 540 158
$t_{1/2}\left(s\right)$ 425 275 941

Answer 1

As we know, $t_{1/2}\propto (a{)}^{1-n}$, where n is the order
$⟹\left(\frac{425}{275}\right)={\left(\frac{350}{540}\right)}^{1-n}$
$⟹\log \left(\frac{425}{275}\right)=(1-n)\log \frac{350}{540}$
$⟹n=2$