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
5
3
6
4
6
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:
t1/2∝[A](n−1)1
where t1/2 is the half-life,[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:
t1/2∝[A]51
Comparing this equation with the general form, we can see that n−1=5, which implies that n = 6.
Therefore, the order of the reaction is (C) 6.