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Question

Phosphorus pentachloride dissociates as follows, in a closed reaction vessel,
$$PCl_5\rightleftharpoons PCl_3(g)+Cl_2(g)$$
If total pressure at equilibrium of the reaction mixture is P and degree of dissociation of $$PCl_5$$ is x, the atrial pressure of $$PCl_3$$ will be:


A
(2x1x)P
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B
(xx1)P
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C
(x1x)P
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D
(xx+1)P
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Solution

The correct option is D $$\left(\dfrac{x}{x+1}\right)P$$
Let us consider the problem:-
$$\mathop {PC{l_5}}\limits_{1 - x}  \rightleftharpoons \mathop {PC{l_3}}\limits_x \left( g \right) + \mathop {C{l_2}}\limits_x \left( g \right)$$
There fore,
$$PC{l_3} = \left( {\frac{x}{{1 + x}}} \right) \times P$$

Chemistry

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