PCl_{5(g)} rightarrow PCl_{3(g)} + Cl_{2(g)}I | vedclass

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(C) For a first order reaction,the rate constant $K$ is given by:$K = \frac{2.303}{t} \log \frac{[A]_{0}}{[A]_{t}}$Given:$[A]_{0} = 50 \ mol \ L^{-1}$

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$1$

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(C) For a first order reaction,the rate constant $K$ is given by:$K = \frac{2.303}{t} \log \frac{[A]_{0}}{[A]_{t}}$Given:$[A]_{0} = 50 \ mol \ L^{-1}$$[A]_{t} = 10 \ mol \ L^{-1}$$t = 120 \ min$Substituting the values:$K = \frac{2.303}{120} \log \frac{50}{10}$$K = \frac{2.303}{120} 	imes \log 5$$K = \frac{2.303}{120} 	imes 0.6989$$K \approx 0.013413 \ min^{-1}$$K \approx 1.34 	imes 10^{-2} \ min^{-1}$Comparing with $X 	imes 10^{-2} \ min^{-1}$,we get $X = 1.34$. Rounding to the nearest integer,$X = 1$.

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