The equilibrium constant relates the concentrations of the products and reactants in the chemical equilibrium. To calculate it we can apply the following equation.
For the reaction: aA + bB ---> cC + dD
Equlibrium constant (Ke) will be:
[tex]K=\frac{\lbrack C\rbrack^c\times\lbrack D\rbrack^d}{\lbrack A\rbrack^a\times\lbrack B\rbrack^b}[/tex]The letters in square brackets refer to the concentration raised to the respective coefficient. Now we replace the known values:
[tex]\begin{gathered} K=\text{ }\frac{\lbrack H_2\rbrack^2\times\lbrack S_2\rbrack^1}{\lbrack H_2S\rbrack^2} \\ K=\frac{\lbrack1M\rbrack^2\times\lbrack0.2M\rbrack^1}{\lbrack0.25M\rbrack^2} \\ K=\frac{1M^2\times0.2M}{0.0625M^2} \\ K=3.2M \end{gathered}[/tex]So, the equilibrium constant (Ke) will be 3.2M