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
$= (1 - x) + x + x$
$= 1 + x$
$p_{PCl_{3}} = \left( \frac{x}{1 + x} \right) \times p$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.