N_{2}O_{5(g)} rightarrow 2NO_{2(g)} + frac{1} | 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} = 2.40 	imes 10^{-2

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$7$

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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} = 2.40 	imes 10^{-2} \ mol \ L^{-1}$$[A]_{t} = 1.60 	imes 10^{-2} \ mol \ L^{-1}$$t = 1 \ hour = 60 \ min$Substituting the values:$k = \frac{2.303}{60} \log \left( \frac{2.40 	imes 10^{-2}}{1.60 	imes 10^{-2}} ight)$$k = \frac{2.303}{60} \log (1.5)$$k = \frac{2.303}{60} 	imes 0.1761$$k \approx 0.00676 \ min^{-1} = 6.76 	imes 10^{-3} \ min^{-1}$Rounding to the nearest integer,we get $7 	imes 10^{-3} \ min^{-1}$.

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