Chemical Kinetics And Nuclear Chemistry

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

$$\begin{aligned} & \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \\ & \text { rate }=\mathrm{k}[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 2} \end{aligned}$$

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)