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The standard free energy change for the dissolution of [tex]\text{NiCO}_3[/tex] is [tex]39.1 \, \text{KJ}[/tex]. What is the equilibrium constant for the dissolution of [tex]\text{NiCO}_3[/tex] at 298 K?

A. 0.984
B. 39.1
C. 1.02
D. 10.0

Answer :

Final answer:

To calculate the equilibrium constant for the dissolution of NiCO_3, use the equation K = exp(-ΔG°/RT) with the ΔG° given in the question, R as the ideal gas constant, and T as the temperature in Kelvin. Convert ΔG° into appropriate units before calculation.

Explanation:

The question is asking about the calculation of the equilibrium constant of the dissolution of NiCO_3, given its standard free energy change. For dissolution reactions, the equilibrium constant can be calculated by using the equation: K = exp(-ΔG°/RT). In this case, ΔG° is the standard free energy change (39.1KJ), R is the ideal gas constant (8.314 J/mol K), and T is the temperature in Kelvin (298 K).

Before any calculation, it’s important to convert ΔG° into J, since the units of R are in J. So ΔG° = 39.1KJ = 39100J. Now, you can plug everything into the equation: K = exp(-39100J/((8.314 J/mol K) x 298 K)). Solving this gives you the value of the equilibrium constant.

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