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Q. The volume of a closed reaction vessel in which the following equilibrium reaction occurs is halved :
$\ce{2SO2(g)<=>2SO3(g)}$
As a result,

VITEEEVITEEE 2019

Solution:

$K_{c}=\frac{\left[SO_{3}\right]^{2}}{\left[SO_{2}\right]^{2}\left[O_{2}\right]}$
If volume is reduced to half, $K_c$ will decrease to half. Thus, to maintain the equilibrium, the reaction should shift in the forward direction, i.e. towards right. Also, to attain equilibrium back, the rate of forward direction will become double the rate of backward direction.