For a reaction,X_{(g)} to Y_{(g)} + Z_{(g)},t | vedclass

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(B) The reaction $X_{(g)} 	o Y_{(g)} + Z_{(g)}$ is a first-order reaction.For a first-order reaction,the rate constant $K$ is given by $K = \frac{0.6

Vedclass · Accepted Answer

$33$

Vedclass · Answer

(B) The reaction $X_{(g)} 	o Y_{(g)} + Z_{(g)}$ is a first-order reaction.For a first-order reaction,the rate constant $K$ is given by $K = \frac{0.693}{t_{1/2}}$.Given $t_{1/2} = 10 \ min$,so $K = \frac{0.693}{10} \ min^{-1}$.The integrated rate equation is $t = \frac{2.303}{K} \log \frac{[A]_0}{[A]_t}$.Here,$[A]_t = 10 \% 	ext{ of } [A]_0$,so $\frac{[A]_0}{[A]_t} = 10$.Substituting the values: $t = \frac{2.303 	imes 10}{0.693} \log(10)$.Since $\log(10) = 1$,$t = \frac{2.303 	imes 10}{0.693} \approx 33.23 \ min$.Rounding to the nearest integer,$t = 33 \ min$.

For a reaction,$X_{(g)} \to Y_{(g)} + Z_{(g)}$,the half-life period is $10 \ min$. In what period of time would the concentration of $X$ be reduced to $10 \%$ of its original concentration? $........... \ min$

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