Q. The decomposition of $N_{2}O_{4}$ to $NO_{2}$ is carried out at 280 K in chloroform. When equilibrium has been established, 0.2 mole of $N_{2}O_{4}$ and $2 \times 10^{- 3}$ mole of$NO_{2}$ are present in 2 L solution. The equilibrium constant for reaction $N_{2}O_{4} \rightleftharpoons 2{NO}_{2}$ is

A) $1 \times 10^{- 2}$
B) $1 \times 10^{- 3}$
C) $1 \times 10^{- 4}$
D) $1 \times 10^{- 5}$
Explanation

(d)
$K_{c} = \frac{\left\lbrack NO_{2} \right\rbrack^{2}}{\lbrack N_{2}O_{4}\rbrack} = \frac{\left\lbrack 2 \times \frac{10^{- 3}}{2} \right\rbrack^{2}}{\left\lbrack \frac{0.2}{2} \right\rbrack}$
$= \frac{10^{- 6}}{10^{- 1}} = 10^{- 5}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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

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