Chemical and Ionic Equilibrium 1 Question 13

14. For the reaction, $\mathrm{SO}{2}(g)+\frac{1}{2} \mathrm{O}{2}(g) \rightleftharpoons \mathrm{SO}{3}(g)$ 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:

  1. For the given reaction, $\Delta n_{g}=n_{P}-n_{R}$

where, $n_{P}=$ number of moles of products

$$ n_{R}=\text { number of moles of reactants } $$

$$ \begin{aligned} K_{p} & =K_{c}(R T)^{\Delta n_{g}} \ \Delta n_{g} & =-\frac{1}{2} \end{aligned} $$