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Q. For reaction, $2 NOCl _{( g )} \rightleftharpoons 2 NO _{(g)}+ Cl _{2}(g), K_{C}$ at $427^{\circ} C$ is $3 \times 10^{-6} L \cdot mol ^{-1} .$ The value of $K_{p}$ is nearly

AIIMSAIIMS 2005Equilibrium

Solution:

$K_{p}=K_{c}(R T)^{\Delta n}$
$\Delta n=$ change in gaseous moles.
For the reaction
$2 NOCl (g) \rightleftharpoons2 NO (g)+ Cl _{2}(g)$
$K_{c}=3 \times 10^{-6} L mol ^{-1}, R=0.0821\, L\, atm / K mol$
$\Delta n=3-2=1$
$T=427+273=700\, K$
$K_{p}=3 \times 10^{-6} \times(0.0821 \times 700)^{1}$
$=1.72 \times 10^{-4}$