Q. A reaction has a rate constant of $0.5\ {mol}^{- 1}\ {dm}^{3}\min^{- 1}.$ If initial concentration of the reactant is $0.2\ mol\ {dm}^{- 3},$ half-life of the reaction

A) 1.4 min
B) 10 min
C) 15 min
D) 20 min
Explanation

(b)
For $nth$ order reaction :
$t_{1/2} \propto \frac{1}{a^{n - 1}}$
For second order reaction
$t_{1/2} = \frac{1}{ka} = \frac{1}{0.5 \times 0.2} = \frac{100}{10} = 10\ \min$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.