(Solved): 12. Consider the following reaction: \[ \mathrm{CH}_{4}(g)+2 \mathrm{H}_{2} \mathrm{~S}(g) \rightle ...

12. Consider the following reaction: \[ \mathrm{CH}_{4}(g)+2 \mathrm{H}_{2} \mathrm{~S}(g) \rightleftharpoons \mathrm{CS}_{2}(g)+4 \mathrm{H}_{2}(g) \] A reaction mixture initially contains \( 0.50 \mathrm{M} \mathrm{CH}_{4} \) and \( 0.75 \mathrm{M} \mathrm{H}_{2} \mathrm{~S} \). If the equilibrium concentration of \( \mathrm{H}_{2} \) is \( 0.44 \mathrm{M}_{\text {, find }} \) the equilibrium constant \( \left(\mathrm{K}_{\mathrm{c}}\right) \) for the reaction.