Q. In a second order reaction when the concentration of both reactant are equal, the reaction is completed in 500 s. How long will it take for the reaction to go to 60% completion?

A) 1000 s
B) 300 s
C) 3000 s
D) 2000 s
Explanation

(c)
$k = \frac{1}{t}\left\lbrack \frac{x}{a(a - x)} \right\rbrack$
$k = \frac{1}{500}\ \left\lbrack \frac{0.2a}{a(a - 0.2a)} \right\rbrack$
$k = \frac{1}{2000a}$
$\frac{1}{2000a} = \frac{1}{t}\left\lbrack \frac{0.6a}{a(a - 0.6a)} \right\rbrack$
$t = 3000\ s$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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