For the first-order reaction,T_{av} (average | vedclass

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(A) For a first$-order$ reaction,the half$-life$ is $T_{50} = \frac{0.693}{k}$.Average life is $T_{av} = \frac{1}{k} \approx 1.44 	imes T_{50}$.For $

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$T_{50} < T_{av} < T_{75}$

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(A) For a first$-order$ reaction,the half$-life$ is $T_{50} = \frac{0.693}{k}$.Average life is $T_{av} = \frac{1}{k} \approx 1.44 	imes T_{50}$.For $75\%$ completion,the time taken is $T_{75} = \frac{2.303}{k} \log(\frac{100}{100-75}) = \frac{2.303}{k} \log(4) = \frac{2.303 	imes 0.602}{k} \approx 2 	imes T_{50}$.Comparing the values: $T_{50} \approx 1.00 	imes T_{50}$,$T_{av} \approx 1.44 	imes T_{50}$,and $T_{75} \approx 2.00 	imes T_{50}$.Therefore,the increasing order is $T_{50} < T_{av} < T_{75}$.

For the first$-order$ reaction,$T_{av}$ (average life),$T_{50}$ and $T_{75}$ in the increasing order are:

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