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Q. Which order reaction obeys the expression $t_{1 / 2} \propto 1 /[ A ] ?$

Chemical Kinetics

Solution:

$t _{1 / 2} \propto a ^{1- n }$
if $n=0$
if $n=1$
if $n=2$
i.e., second order.
$t _{1 / 2} \propto a '$
$t _{1 / 2} \propto a ^{0}$
$t _{1 / 2} \propto a ^{1-2} \rightarrow t _{1 / 2} \propto a ^{-1} \rightarrow t _{1 / 2} \propto \frac{1}{ a }$