Chemical EquilibriumHard

Question

PCl5 (molecular mass = M) dissociates into PCl3 and Cl2 as PCl5(g) $\rightleftharpoons$PCl3(g) + Cl2(g). If the total pressure of the system at equilibrium is P and the density is ‘d’ at temperature T K. The degree of dissociation of PCl5 may be represented as

Options

A.$\frac{PM}{dRT}$
B.$\frac{PM}{dRT} - 1$
C.$\frac{dRT}{PM} - 1$
D.$\frac{dRT}{PM}$

Solution

$\alpha = \frac{M - M_{mix}}{(n - 1).M_{mix}} = \frac{M - M_{mix}}{(2 - 1).M_{mix}} = \frac{M}{M_{mix}} - 1$

$= \frac{M}{\left( \frac{dRT}{P} \right)} - 1 = \frac{PM}{dRT} - 1$

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