Final answer:
The equilibrium constant (Keq) for the system 2H₂(g) + S₂(g) → 2H₂S(g) is 938450, indicating that the products are highly favored over the reactants in this reaction.
Step-by-step explanation:
The reaction 2H₂(g) + S₂(g) → 2H₂S(g) at equilibrium in a 1.00-liter vessel with 0.50 moles of H₂, 0.020 moles of S₂, and 68.5 moles of H₂S, allows us to calculate the equilibrium constant (Keq) using concentrations in moles per liter (M). The equilibrium concentrations of H₂, S₂, and H₂S are 0.50 M, 0.020 M, and 68.5 M, respectively.
The expression for Keq for this reaction is:
Keq = [H₂S]^2 / ([H₂]^2 × [S₂])
By plugging in the equilibrium concentrations, we get:
Keq = (68.5^2) / (0.50^2 × 0.020) = (4692.25) / (0.50 × 0.50 × 0.020) = 4692.25 / 0.005 = 938450
Thus, the numerical value of Keq is 938450.
In this system, because Keq is significantly greater than 1, this implies that the products are highly favored over the reactants