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Q. The initial pressure of $COCl _{2}$ is $1000$ torr. The total pressure of the system becomes $1500$ torr, when the equilibrium $COCl _{2}( g ) \rightleftharpoons CO ( g )+ Cl _{2}( g )$ is attained at constant temperature. The value of $K _{ p }$ of a reaction

Equilibrium

Solution:

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$\therefore P_{\text {total }}=1000+P=1500$
$\Rightarrow P=500$ torr
$\Rightarrow P=500$
$K_P = \frac{P^2}{1000 - P} $
$= \frac{500 \times 500}{500} = 500$