Chemical and Ionic Equilibrium - Result Question 14

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) $1$

Show Answer

Answer:

Correct Answer: 14. (b)

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} $

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