Question

$1mole$ each of $S{O}_2,N{O}_2,S{O}_3$ and $NO$ is taken in a container of one liter capacity when the following reaction takes place:
$S{O}_2\left(g\right)+N{O}_2\left(g\right)\rightleftharpoons S{O}_3\left(g\right)+NO\left(g\right)$
At a certain temperature the value of $K_c$ is $16$.
The $[S{O}_3{]}_{eq}$ is:

• A. $2.6M$
• B. $0.6M$
• C. $2M$
• D. $1.2M$

Answer 1

Answer: (A)

$2.6M$

${SO}_2+{NO}_2\rightleftharpoons {SO}_3+NO$

Initial $1$ $1$ $1$ $1$

equilibrium $1-x$ $1-x$ $1+x$ $1+x$

$K_C=16$

$16=K_C=\frac{\left[{SO}_3\right]\left[NO\right]}{\left[{NO}_2\right]\left[{SO}_2\right]}=\frac{(1+x)(1+x)}{(1-x)(1-x)}$

$x=\frac{5}{3}$

${\left[{SO}_3\right]}_{eq}=1+x=1+\frac{5}{3}=2.6$