Final answer:
The equilibrium constant, Kp, for the given reaction at 1200 K is 0.0675.
Step-by-step explanation:
To calculate the equilibrium constant for the reaction:
H₂S(g) ⥨ H₂(g) + S(g)
at 1200 K, we can use the given partial pressures of the gases in the equilibrium mixture. The equilibrium constant, Kp, is calculated by dividing the product of the partial pressures of the products by the product of the partial pressures of the reactants.
Kp = (P(H₂) * P(S)) / P(H₂S)
Plugging in the given values:
Kp = (0.045 * 0.030) / 0.020 = 0.0675
Therefore, the value of the equilibrium constant, Kp, at 1200 K is 0.0675.