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Question

Chemistry Question on Chemical Kinetics

Half- life of a reaction is found to the inversely proportional to the fifth power of its initial concentration, the order of reaction is

A

5

B

3

C

6

D

4

Answer

6

Explanation

Solution

The half-life of a reaction is a measure of the time it takes for the concentration of a reactant to decrease by half.
The relationship between the half-life and the order of a reaction can be expressed mathematically as:
t1/21[A](n1)t_{1/2} \propto \frac{1}{{[A]}^{(n-1)}}
where t1/2t_{1/2} is the half-life,[A][A] is the initial concentration of the reactant, and n is the order of the reaction.
Given that the half-life is inversely proportional to the fifth power of the initial concentration, we can rewrite the equation as:
t1/21[A]5t_{1/2} \propto \frac{1}{{[A]}^5}
Comparing this equation with the general form, we can see that n1=5n - 1 = 5, which implies that n = 6.
Therefore, the order of the reaction is (C) 6.