For the first-order reaction Tav (average life), T50 (half-life) and T75 (time 75 % reaction) are in the ratio of

Question

For the first-order reaction Tav (average life), T50 (half-life) and T75 (time 75 % reaction) are in the ratio of (A) 1 .4 4 :2 :3 (B) 1.44: 1 :2 (C) 1: 2: 1.44 (D) 1: 2: 3

Tardigrade Admin · Accepted Answer

Tav=(1/k),T50=(0.693/k)=0.693Tav T75=2T50 T50=((T75/2)) Tav :T50 :T75 (T50/0.693) :T50:T75 (1/0.693):1:2 1.44:1:2

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

$1.44 : 2 : 3$

$1.44 : 1 : 2$

$1 : 2 : 1.44$

$1 : 2 : 3$

$T_{a v} = \frac{1}{k}, T_{50} = \frac{0.693}{k} = 0.693 T_{a v}$
$T_{75} = 2 T_{50}$
$T_{50} = (\frac{T _{75}}{2})$
$T_{a v} : T_{50} : T_{75}$
$\frac{T _{50}}{0.693} : T_{50} : T_{75}$
$\frac{1}{0.693} : 1 : 2$
$1.44 : 1 : 2$

Q. For the first-order reaction Tav​ (average life), T50​ (half-life) and T75​ (time 75% reaction) are in the ratio of

1.44:2:3

1.44:1:2

1:2:1.44

1:2:3