QJEEM24Chb25d: JEE Main 2024 Chemistry - Class 12 JEEM24Chb25d Solution: Consider the following reaction, the rate expression of which…

Consider the following reaction, the rate expression of which is given below

$$\begin{array}{rl}& \mathrm{A}+\mathrm{B}\to \mathrm{C}\\ & \text{ rate }=\mathrm{k}[\mathrm{A}{]}^{1/2}[\mathrm{B}{]}^{1/2}\end{array}$$

The reaction is initiated by taking $$1\mathrm{M}$$ concentration of $$\mathrm{A}$$ and $$\mathrm{B}$$ each. If the rate constant $$(\mathrm{k})$$ is $$4.6\times {10}^{-2}{\mathrm{s}}^{-1}$$, then the time taken for $$\mathrm{A}$$ to become $$0.1\mathrm{M}$$ is _________ sec. (nearest integer)