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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

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a

1.44 : 1 : 2

b

1 : 2 : 1.44

c

1 : 2 : 3

d

1.44 : 2 : 3

answer is B.

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Detailed Solution

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$T_{av} = \frac{1}{k}, T_{50} = \frac{0.693}{k} = 0.693 T_{av}$

$T_{75} = 2 T_{50}$

$T_{50} = [\frac{T_{75}}{2}]$

$T_{av} : T_{50} : T_{75}$

$\frac{T_{50}}{0.693} : T_{50} : T_{75}$

$\frac{1}{0.693} : 1 : 2$

$1.44 : 1 : 2$

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