For the reaction, a A +b B → c C +d D, the plot of log k vs 1/T is given below: The temperature at which the rate constant of the reaction is 10^-4…

For the reaction, $\displaystyle a \mathrm{~A}+b \mathrm{~B} \rightarrow c \mathrm{C}+d \mathrm{D}$, the plot of $\displaystyle \log \mathrm{k}$ vs $\displaystyle \frac{1}{\mathrm{~T}}$ is given below : The temperature at which the rate constant of the reaction is $\displaystyle 10^{-4} \mathrm{~s}^{-1}$ is \_\_\_\_ K. (Rounded-off to the nearest integer) [Given : The rate constant of the reaction is $\displaystyle 10^{-5} \mathrm{~s}^{-1}$ at $\displaystyle 500$ K.]