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For the first order Reaction P \rightarrow Q the half life is 55 \mathrm{~min}. The time taken for 75% completion of the reaction is \mathrm{mm}.

Option: 1

105 \mathrm{~min}


Option: 2

90 \mathrm{~min}


Option: 3

110 \mathrm{~min}


Option: 4

60 \mathrm{~min}


Answers (1)

best_answer

\mathrm{t_{1 / 2}=T_{50 \%}=55 \mathrm{~min} }
For first order reaction, from the relation between half lives:-
\mathrm{\begin{aligned} & \frac{2.303}{t_{50 \%}} \log \frac{100}{50}=\frac{2.303}{t_{75 \%}} \log \frac{100}{25} \\ & T_{75 \%}=2 t_{1 / 2} \\ & =55 \mathrm{~min} \times 2 \\ & =110 \mathrm{~min} \end{aligned} }

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seema garhwal

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