Final answer:
To calculate ΔG for a reaction, use the equation ΔG = ΔG° + RTlnK, where ΔG° is the standard free energy change, R is the gas constant, T is the temperature in Kelvin, and K is the equilibrium constant. Substituting the values given in the question into the equation will give you the answer.
Step-by-step explanation:
To calculate the standard free energy change (ΔG) for the reaction, we need to use the equation: ΔG = ΔG° + RTlnQ. Here, Q represents the reaction quotient, which is calculated using the partial pressure of the reactants and products. Since the given equilibrium constant (K) is equivalent to Q at equilibrium, we can use it to calculate ΔG. The correct answer is option D: ΔG = ΔG° + RTlnK.