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Chemistry Question on Chemical Kinetics

Half life period of 2nd order reaction is

A

proportional to initial concentration of reactants

B

independent of initial concentration of reactants

C

inversely proportional to initial concentration of reactants

D

inversely proportional to square of initial concentration of reactants

Answer

inversely proportional to initial concentration of reactants

Explanation

Solution

t1/2∝1[a0]n−1t_{1/2} \propto \frac{1}{[a_0]^{n-1}}where n = order of reaction If n=2 then t1/2∝1[a0]2−1 or t1/2∝1[a0]t_{1/2} \propto \frac{1}{[a_0]^{2-1}}\,or\,t_{1/2}\propto \frac{1}{[a_0]}