Question

The equilibrium constant for the reactions are $K$ and $K^1$ respectively, the relation between $K$ and $K^1$ is:
$N_{2_{\left(g\right)}}+O_{2_{\left(g\right)}}\leftrightarrows 2{NO}_{\left(g\right)}$ and ${NO}_{\left(g\right)}\rightleftharpoons \frac{1}{2}{N}_{2_{\left(g\right)}}+\frac{1}{2}{O}_{2_{\left(g\right)}}$

• A. $K={\left(K^1\right)}^2$
• B. $K={\left(\frac{1}{K^1}\right)}^2$
• C. ${\left(K\right)}^2=K^1$
• D. $K^1={\left(\frac{1}{K^{}}\right)}^2$

Answer 1

The correct option is B $K={\left(\frac{1}{K^1}\right)}^2$

$N_{2_{\left(g\right)}}+O_{2_{\left(g\right)}}\leftrightarrows 2{NO}_{\left(g\right)}$
$\Rightarrow$ equilibrium constant $K=\frac{[NO{]}^2}{\left[N_2\right]\left[O_2\right]}$
and ${NO}_{\left(g\right)}\rightleftharpoons \frac{1}{2}{N}_{2_{\left(g\right)}}+\frac{1}{2}{O}_{2_{\left(g\right)}}$
$\Rightarrow$ equilibrium constant $K^1=\frac{\left[N_2{]}^{1/2}\right[O_2{]}^{1/2}}{\left[NO\right]}$ from values of $K$ and $K^1$ the relation between them is:
$K={\left(\frac{1}{K^1}\right)}^2$