If benzene diazonium chloride undergoes first | vedclass

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(C) For a first order reaction,the rate equation is given by:$t = \frac{2.303}{k} \log \frac{a}{a-x}$Given that the reaction is $90 \%$ complete,we ha

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$33$

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(C) For a first order reaction,the rate equation is given by:$t = \frac{2.303}{k} \log \frac{a}{a-x}$Given that the reaction is $90 \%$ complete,we have $a = 100$ and $(a-x) = 100 - 90 = 10$.The rate constant $k = 6.93 	imes 10^{-2} \ min^{-1}$.Substituting these values into the equation:$t = \frac{2.303}{6.93 	imes 10^{-2}} \log \frac{100}{10}$$t = \frac{2.303}{0.0693} 	imes \log(10)$Since $\log(10) = 1$,we get:$t = \frac{2.303}{0.0693} \approx 33.23 \ min$.The nearest integer value is $33 \ min$.

If benzene diazonium chloride undergoes first order decomposition at $T \ K$ with a rate constant of $6.93 \times 10^{-2} \ min^{-1}$,the time for completion of $90 \%$ of the reaction (in $min$) is (nearest integer) $(\log 2 = 0.30, \log 3 = 0.477)$.

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