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Q. The equilibrium constant for the reaction
$N _{2( g )}+ O _{2( g )} \rightleftharpoons 2 NO _{( g )}$ is $4 \times 10^{-4}$ at $2000\,K$.
In presence of a catalyst the equilibrium is attained ten times faster. Therefore the equilibrium constant in presence of catalyst of $2000\, K$ is

KCETKCET 2017Equilibrium

Solution:

$\because K =\frac{[\text { conc. of product }]}{[\text { conc. of reactant }]} $

$=4 \times 10^{-4} $

Qn adding catalyst. the equilibrium attain 10 time factor.

As equilibrium constant depends on temperature. It will not change, however the reaction attains equilibrium 10 times faster hence

$K_{\text {(new) }}+K_{\text {(previous\} }}=4 \times 10^{-4}$