Chemical and Ionic Equilibrium - Result Question 70
####14. For the reaction, $SO _2(g)+\frac{1}{2} O _2(g) \rightleftharpoons SO _3(g)$ if $K _p=K _C(R T)^{x}$ where, the symbols have usual meaning, then the value of $x$ is (assuming ideality)
(2014 Main)
(a) -1
(b) $-\frac{1}{2}$
(c) $\frac{1}{2}$
(d) 1
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Solution:
- For the given reaction, $\Delta n _g=n _P-n _R$
where, $n _P=$ number of moles of products
$$ n _R=\text { number of moles of reactants } $$
$$ \begin{aligned} K _p & =K _c(R T)^{\Delta n _g} \ \Delta n _g & =-\frac{1}{2} \end{aligned} $$
