\(N _2 O _5( g ) \rightarrow 2 NO _2( g )+\frac{1}{2} O _2( g )\) In the above first order reaction the initial concentr…

\(N _2 O _5( g ) \rightarrow 2 NO _2( g )+\frac{1}{2} O _2( g )\)

In the above first order reaction the initial concentration of \(N _2 O _5\), is \(2.40 \times 10^{-2} ~mol L ^{-1}\) at \(318 K\). The concentration of \(N _2 O _5\), after 1 hour was \(1.60 \times 10^{-2} ~mol L ^{-1}\). The rate constant of the reaction at \(318 ~K\) is______ \(\times 10^{-3} ~min ^{-1}\). (Nearest integer) [Given: \(\log 3=0.477, \log 5=0.699]\)

[JEE Main 2021, 22 Jul (Shift 2)]