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

Question

Quizplus · Accepted Answer

We can use the relationship between equilibrium constant and Gibbs free energy to solve this problem:

ΔG° = -RTlnK

where R is the gas constant (8.314 J/mol.K), T is the temperature in Kelvin (25°C = 298 K), ln is the natural logarithm, and K is the equilibrium constant.

Plugging in the values:

ΔG° = - (8.314 J/mol.K) * (298 K) * ln(1.17 × 10^15)

ΔG° = -28,897 J/mol

Converting to kJ/mol:

ΔG° = -28.9 kJ/mol

Therefore, the answer is (B) -28.9 kJ.

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