For a first order reaction A to product,the r | vedclass

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(D) For a first order reaction,the rate law is given by $r = k[A]$.Given $r = 1.0 	imes 10^{-2} \, mol \, L^{-1} \, min^{-1}$ and $[A] = 0.2 \, mol \

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$13.86$

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(D) For a first order reaction,the rate law is given by $r = k[A]$.Given $r = 1.0 	imes 10^{-2} \, mol \, L^{-1} \, min^{-1}$ and $[A] = 0.2 \, mol \, L^{-1}$.Substituting these values,we get $1.0 	imes 10^{-2} = k 	imes 0.2$.Therefore,$k = \frac{1.0 	imes 10^{-2}}{0.2} = 0.05 \, min^{-1}$.The half-life period $t_{1/2}$ for a first order reaction is calculated as $t_{1/2} = \frac{0.693}{k}$.$t_{1/2} = \frac{0.693}{0.05} = 13.86 \, min$.

For a first order reaction $A \to$ product,the rate of reaction at $[A] = 0.2 \, mol \, L^{-1}$ is $1.0 \times 10^{-2} \, mol \, L^{-1} \, min^{-1}$. The half-life period for the reaction is .......... $min$.

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