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  3. Chemistry
  4. Half-life of a reaction is found to be inversely proportional to the cube of initial concentration. The order of reaction is

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Q. Half-life of a reaction is found to be inversely proportional to the cube of initial concentration. The order of reaction is

AFMCAFMC 2011

Solution:

We know that if $t_{1 / 2} \propto 1 / a^{n}$
then, order of reaction $=n+1$
Given that $t_{1 / 2} \propto 1 / a^{3}$
$\therefore $ order of this reaction $=3+1=4$