Q. Phosphorus pentachloride dissociates as follows, in a closed reaction vessel, $PCl_{5}(g) \rightleftharpoons PCl_{3}(g) + Cl_{2}(g)$ If total pressure at equilibrium of the reaction mixture is $p$ and degree of dissociation of $PCl_{5}\ is\ x$, the partial pressure of $PCl_{3}$ will be

A) $\left( \frac{x}{x + 1} \right)p$
B) $\left( \frac{2x}{1 - x} \right)p$
C) $\left( \frac{x}{x - 1} \right)p$
D) $\left( \frac{x}{1 - x} \right)p$
Explanation

(a)
$PCl_{5}(g) \rightleftharpoons PCl_{3}(g) + Cl_{2}(g)$
$(1 - x)$ $x$ $x$
Total number of moles at equilibrium
$= (1 - x) + x + x$
$= 1 + x$
$p_{PCl_{3}} = \left( \frac{x}{1 + x} \right) \times p$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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