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6-2.Equilibrium-II (Ionic Equilibrium)
medium
The degree of dissociation $(\alpha )$ of $PCl_5$ obeying the equilibrium; is $PC{l_5}\, \rightleftharpoons \,PC{l_3}\, + \,C{l_2}$ related to the pressure at equlibrium by
A
$\alpha \, \propto \,P$
B
$\alpha \, \propto \,\frac{1}{{\sqrt P }}$
C
$\alpha \, \propto \,\frac{1}{{{P^2}}}$
D
$\alpha \, \propto \,\frac{1}{{{P^4}}}$
Solution
$\mathop {\mathop {PC{l_5}}\limits_1 }\limits_{1 – \alpha } \rightleftharpoons \mathop {\mathop {PC{l_3}}\limits_0 }\limits_\alpha + \mathop {\mathop {C{l_2}}\limits_0 }\limits_\alpha $
$\mathrm{K}_{\mathrm{P}}=\frac{\alpha^{2}}{1-\alpha}\left(\frac{\mathrm{P}}{1+\alpha}\right)=\frac{\alpha^{2} \mathrm{P}}{1-\alpha^{2}}$
$\alpha=\sqrt{\frac{\mathrm{K}_{\mathrm{p}}}{\mathrm{P}}} ; \alpha \propto \frac{1}{\sqrt{\mathrm{p}}}$
Standard 11
Chemistry
