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The first order rate constant for the decomposition of \( \mathrm{CaCO}_{3} \) at \( 700 \mathrm{~K} \) is \( 6.36 \times 10^{-3} \mathrm{~s}^{-1} \) and activation energy is 209 \( \mathrm{kJ} \mathrm{mol}^{-1} \). Its rate constant (in s \( { }^{-1} \) ) at \( 600 \mathrm{~K} \) is \( x \times 10^{-6} \). The value of \( x \) is (Nearest integer)
\[
\begin{array}{l}
{\left[\text { Given } \mathrm{R}=8.31 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} ; \log 6.36 \times 10^{-3}=-2.19,10^{-4.79}\right.} \\
\left.=1.62 \times 10^{-5}\right]
\end{array}
\]
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