Question

The degree of dissociation of $SO_{3}$ at equilibrium pressure is:
$K_{p}$ for $2SO_{3} (g) \rightleftharpoons 2SO_{2} (g) + O_{2} (g)$

• A. $[(P_{0}\alpha^{3})/2(1 - \alpha)^{3}]$
• B. $[(P_{0}\alpha^{3})/(2 +\alpha)(1 -\alpha )^{2}]$
• C. $[(P_{0}\alpha^{2})/2 (1 - \alpha )^{2}]$
• D. none of these

Answer 1

Answer: (B)

$2SO_{3} \rightleftharpoons 2SO_{2} + O_{2}$
$P(1- \alpha) \,\,\,\,P\alpha \,\,\,\,\,\,\,\frac{P\alpha}{2}$
$P\left[1+\frac{\alpha}{2}\right]=P_{o}$
$K_{P} = \frac{\left(P^{2}\alpha^{2}\right)\left(P \frac{\alpha}{2}\right)}{p^{2}\left(1-\alpha^{2}\right)}=\frac{P_{o}\alpha^{3}}{\left(2+\alpha\right)\left(1-\alpha\right)^{2}}$