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Q. The equilibrium constants for the reaction, $Br_2 \rightleftharpoons 2\,Br \to 1$
at $500 \,K$ and $700 \,K$ are $1 \times 10^{-10}$ and $1 \times 10^{-5}$ respectively. The reaction is

UPSEEUPSEE 2013Equilibrium

Solution:

Chemical equilibrium constant for the reaction is

$Br _{2} \rightleftharpoons 2\, Br$ is

$K_{c}=\frac{[ Br ]^{2}}{\left[ Br _{2}\right]}$

$K_{c}$ at $500 \,K$ is $1 \times 10^{10}$. On increasing temperature $(700 \,K )$. The value of $K_{c}$ is also increased, i.e., concentration of product is increased and obuiously the increase of temperature will favour the forward reaction. Thus. the forward reaction is endothermic.