1. Tardigrade
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  3. Chemistry
  4. For the first-order reaction Tav (average life), T50 (half-life) and T75 (time 75 % reaction) are in the ratio of

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Q. For the first-order reaction $T_{av}$ (average life), $T_{50}$ (half-life) and $T_{75}$ (time $75\%$ reaction) are in the ratio of

Chemical Kinetics

Solution:

$T_{av}=\frac{1}{k},T_{50}=\frac{0.693}{k}=0.693T_{av}$
$T_{75}=2T_{50}$
$T_{50}=\left(\frac{T_{75}}{2}\right)$
$T_{av} :T_{50} :T_{75}$
$\frac{T_{50}}{0.693} :T_{50}:T_{75}$
$\frac{1}{0.693}:1:2$
$1.44:1:2$