I would look at dGo tables in your text, calculate dGo for the reaction, use that to solve for Keq, then explain how the system reacts.
On a much less work scale, the rate at which CH4 and H2S react decreases with time while the rate at which CS2 and H2 react increases with time. There is a point at which the forward reaction and the reverse direction are equal and this is equilibrium. This should serve to get you started.
Explain, in terms of particles, concentration, and reaction rate, what you expect to happen when methane gas (CH4) and hydrogen sulfide gas (H2S) are sealed in a flask and reach a state of equilibrium.
CH4 (g) +2 H2S (g)<=> CS2 (g) + 4 H2 (g)
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