\( \text{PCl}_5(g) \rightarrow \text{PCl}_3(g) + \text{Cl}_2(g) \)
In the above first order reaction the concentration of \( \text{PCl}_5 \) reduces from initial concentration \( 50 \, \text{mol L}^{-1} \) to \( 10 \, \text{mol L}^{-1} \) in \( 120 \) minutes at \( 300 \, \text{K} \). The rate constant for the reaction at \( 300 \, \text{K} \) is \( x \times 10^{-2} \, \text{min}^{-1} \). The value of \( x \) is __________ . [Given \( \log 5 = 0.6989 \) ]
