Chemical And Ionic Equilibrium Result Question 51
51. At a certain temperature, equilibrium constant $\left(K_c\right)$ is $16$ for the reaction;
$\mathrm{SO}_2(g)+\mathrm{NO}_2(g) \rightleftharpoons \mathrm{SO}_3(g)+\mathrm{NO}(g)$
If we take one mole each of all the four gases in a one litre container, what would be the equilibrium concentrations of $NO$ and $\mathrm{NO}_2$ ?
(1987,5 M)
Show Answer
Solution:
- $\underset{1-x}{\mathrm{SO}_2(g)}+\underset{1-x}{\mathrm{NO}_2}(g) \rightleftharpoons \underset{x}{\mathrm{SO}_3(g)}+\underset{x}{\mathrm{NO}}(g)$
$Q_c=1 < K_c $,
i.e. reaction proceed in forward direction to attain equilibrium.
$\begin{aligned} & 16=\left(\frac{x}{1-x}\right)^2 \Rightarrow x=0.80 \\ & {[\mathrm{NO}]=0.80 \mathrm{M},\left[\mathrm{NO}_2\right]=0.20 \mathrm{M}} \end{aligned}$
BETA
