(Solved): 2. Methane gas can be produced in a laboratory with the following reaction: (4 marks) \\[ \\mathrm{ ...

2. Methane gas can be produced in a laboratory with the following reaction: (4 marks) \\[ \\mathrm{CS}_{2}(\\mathrm{~g})+4 \\mathrm{H}_{2}(\\mathrm{~g}) \\rightleftarrows \\mathrm{CH}_{4}(\\mathrm{~g})+2 \\mathrm{H}_{2} \\mathrm{~S}(\\mathrm{~g}) \\] Initially, at a temperature of \\( 90{ }^{\\circ} \\mathrm{C}, 0.18 \\mathrm{~mol} / \\mathrm{LCS}_{2}(\\mathrm{~g}) \\) and \\( 0.31 \\mathrm{~mol} / \\mathrm{L} \\mathrm{H}_{2}(\\mathrm{~g}) \\) are present in a closed container. When equilibrium is established, \\( 0.13 \\mathrm{~mol} / \\mathrm{LCS}_{2}(\\mathrm{~g}) \\) is present. Calculate the Kc for the reaction. Indicate whether products or reactants are favored.