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Arrhenius Acid

The degree of...

Question

The degree of dissociation is $0.5$ at $800 K$ and $2$ atm for the gaseous reaction
$P C l_{5} ⇌ P C l_{3} + C l_{2}$
Assuming ideal behaviour of all the gases. Calculate the density of equilibrium mixture at $800 K$ and $2$ atm.

4.232 g / L

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6.4 g / L

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8.4 g / L

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2.2 g / L

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Solution

The correct option is C $4.232 g / L$
$\frac{N o r m a l w t o f P C l_{5}}{E x p t . w t o f P C l_{5}} = 1 + 2 = 1.5$
$\frac{208.5}{e x p t . w t} = 1.5$
$E x p t . w t = \frac{208.5}{1.5} = 139$
$P u = \frac{w}{m} R T$
$d = \frac{w}{v} = \frac{P M}{R T} = \frac{2 \times 139}{0.082 \times 800} = 4.24 g / L$
$d = 4.24 g / L$ .

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