Q. If the volume of the vessel in which the reaction $2NO + O_{2} \rightarrow 2NO_{2}$ is occurring is diminished to 1/3^{rd} of its initial volume. The rate of the reaction will be increased by

A) 3 times
B) 9 times
C) 27 times
D) 36 times
Explanation

(c)
As we know that, rate of reaction is directly proportional to concentration of reactant and inversely proportional to the volume of vessel.
$i.e.,$concentration$\alpha \propto \frac{n}{v}$
For a given reaction,
$2NO(g) + O_{2}(g) \rightleftharpoons 2NO_{2}(g)$
Rate of reaction=$k\lbrack NO\rbrack^{2}\lbrack O_{2}\rbrack$
If volume of vessel is reduced by $\frac{1}{3}rd$ of its initial value, then concentration of compound is increase by 3 times. Hence, the rate of reaction will be increased by 27 times.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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