\[ \mathrm{PCl}_{5}(\mathrm{~g}) \rightarrow \mathrm{PCl}_{3}(\mathrm{~g})+\mathrm{Cl}_{2}(\math...
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0\[
\mathrm{PCl}_{5}(\mathrm{~g}) \rightarrow \mathrm{PCl}_{3}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g})
\]
In the above first order reaction the concentration of \( \mathrm{PCl}_{5} \) reduces from initial concentration \( 50 \mathrm{~mol} \mathrm{~L}^{-1} \) to \( 10 \mathrm{~mol} \mathrm{~L}^{-1} \) in 120 minutes at \( 300 \mathrm{~K} \). The rate constant for the reaction at \( 300 \mathrm{~K} \) is \( x \times 10^{-2} \mathrm{~min}^{-1} \). The value of \( x \) is
Given: \( \log 5=0.6989 \)
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