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(D) For a first order reaction,the half-life $(t_{1/2})$ is the time taken for $50 \%$ completion. Given $t_{1/2} = 16 \ minutes$. In $32 \ minutes$,t

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$75$

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(D) For a first order reaction,the half-life $(t_{1/2})$ is the time taken for $50 \%$ completion. Given $t_{1/2} = 16 \ minutes$. In $32 \ minutes$,the number of half-lives elapsed is $n = \frac{32}{16} = 2$. The fraction of reactant remaining after $n$ half-lives is given by $(\frac{1}{2})^n$. Remaining fraction = $(\frac{1}{2})^2 = \frac{1}{4} = 0.25$ or $25 \%$. The percentage of reactant reacted = $100 \% - 25 \% = 75 \%$.

$A$ first order reaction is $50 \%$ completed in $16 \ minutes$. Find the percentage of reactant reacting in $32 \ minutes$. (in $\%$)

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