Half life of zero order reaction $\mathrm{A} \rightarrow$ product is 1 hour, when initial concentration of…
- 0.5 hour
- 4 hour
- 15 min
- 60 min
Solution
$\begin{aligned}
& \text { Half life }=\frac{A_o}{2 k} \\
& 60 \min =\frac{2}{2 k} \\
& k=\frac{1}{60} \mathrm{M} / \min
\end{aligned}$
Now
$\begin{aligned} & \mathrm{A}_{\mathrm{t}}=\mathrm{A}_{\mathrm{o}}-\mathrm{kt} \\ & \mathrm{t}=\frac{\mathrm{A}_{\mathrm{o}}-\mathrm{A}_{\mathrm{t}}}{\mathrm{k}} \\ & =\frac{0.5-0.25}{1 / 60} \\ & 0.25 \times 60\end{aligned}$
$\mathrm{t}=15 \mathrm{~min}$
Asked in: JEE Main 2025 (04 Apr Shift 2)