For the following gas phase equilibrium reaction at constant temperature,
$
\mathrm{NH}_3(\mathrm{~g

Question

For the following gas phase equilibrium reaction at constant temperature,
$
\mathrm{NH}_3(\mathrm{~g}) ightleftharpoons 1 / 2 \mathrm{~N}_2(\mathrm{~g})+3 / 2 \mathrm{H}_2(\mathrm{~g})
$
if the total pressure is $\sqrt{3} \mathrm{~atm}$ and the pressure equilibrium constant $\left(K_pight)$ is 9 atm , then the degree of dissociation is given as $\left(x 	imes 10^{-2}ight)^{-1 / 2}$. The value of $x$ is $\_\_\_\_$ . (nearest integer)

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See detailed solution for explanation.