For the reaction, aA + bB → cC + dD , the plot of log   k v/s 1   T is given below: The…

For the reaction, $\mathrm{aA}+\mathrm{bB}\to \mathrm{cC}+\mathrm{dD},$ the plot of $\log \mathrm{k}$ v/s $\frac{1}{ \mathrm{T}}$ is given below:

The temperature at which the rate constant of the reaction is ${10}^{-4} {\mathrm{s}}^{-1}$ is _____ $\mathrm{K}.$
(Rounded-off to the nearest integer) [Given : The rat5e constant of the reaction is ${10}^{-5} {\mathrm{s}}^{-1}$ at $500 \mathrm{K}$.]