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