The value of the equilibrium constant for the reaction of nickel(II) ions with cadmium metal is 1.17 × 10⁵. Calculate ΔG° for the reaction at 25°C.

Question

Quizplus · Accepted Answer

The equilibrium constant can be related to the standard Gibbs free energy change using the equation:

ΔG° = -RT ln(K)

where R is the gas constant (8.314 J/mol·K), T is the temperature in Kelvin, and ln(K) is the natural logarithm of the equilibrium constant.

Plugging in the values given:

ΔG° = - (8.314 J/mol·K) × (298.15 K) × ln(1.17 × 10^15)

ΔG° = -28,900 J/mol

Converting to kJ:

ΔG° = -28.9 kJ/mol

Therefore, the best choice is B, -28.9 kJ.

The Value of the Equilibrium Constant for the Reaction of Nickel(II)