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Q. At equilibrium total number of moles for the reaction $2 HI \rightleftharpoons H _{2}+ I _{2}$, if $\alpha$ is degree of dissociation, are

Equilibrium

Solution:

$HI$ $\rightleftharpoons +H _{2}$ $I _{2}$
Initial moles $2$ $0$ $0$
Change $- \alpha$ $\frac{\alpha}{2}$ $\frac{\alpha}{2}$
moles at equilibrium $2- \alpha$ $\frac{\alpha}{2}$ $\frac{\alpha}{2}$

The reaction is $2 HI \rightleftharpoons H _{2}+ I _{2}$.
$\alpha$ is the degree of dissociation.
Total number of moles $=2-\alpha+\frac{a}{2}+\frac{a}{2}=2$.