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Q. Consider the equilibrium

$CO_{2}\left(\right.g\left.\right)\rightleftharpoons CO\left(\right.g\left.\right)+\frac{1}{2}O_{2}\left(\right.g\left.\right)$

The equilibrium constant $\text{K}$ is given by (when $\text{α} \, \text{ < < < } \, \text{1}$ )

NTA AbhyasNTA Abhyas 2020Equilibrium

Solution:

Solution

$K=\frac{\left[\right. \alpha \left]\right. \left(\left[\frac{\alpha }{2}\right]\right)^{1 / 2}}{\left(\right. 1 - \alpha \left.\right)}$

$=\frac{\alpha ^{3 / 2}}{\sqrt{2}}$

$\text{(α} \, \text{ < } \, \text{ < } \, \text{1)}$