Consider the following reaction, the rate expression of which is given below A + B → C rate = k [ A ]^1 / 2[ B ]^1 / 2 The reaction is initiated by…

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