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For the reaction, \( \mathrm{aA}+\mathrm{bB} \rightarrow \mathrm{cC}+\mathrm{dD} \), the plot of \( \log \mathrm{k} v \mathrm{vs} \) \( \frac{1}{\mathrm{~T}} \) 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 rate constant of the reaction is \( 10^{-5} \mathrm{~s}^{-1} \) at \( 500 \mathrm{~K} \).]
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