Q. Which of the following expression is correct for second order reaction. $(C_{0}$ refers to initial concentration of reactant)?

A) $t_{1/2} \propto C_{0}$
B) $t_{1/2} \propto C_{0}^{0}$
C) $t_{1/2} \propto C_{0}^{- 1}$
D) $t_{1/2} \propto C_{0}^{- 2}$
Explanation

(c)
From $t_{1/2} \propto C_{0}^{1 - n}$
Where, $n =$ order of reaction
For second order $n = 2$
$\therefore t_{1/2} \propto C_{0}^{1 - 2}$
$\ t_{1/2} \propto C_{0}^{- 1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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