Chemistry 112

Using Thermodynamic Values to Find Equilibrium Constants

Example

Find the molar solubility of Fe(OH)3 in water at 25 °C.

Ksp for Fe(OH)3 is not listed in the Table of Solubility Product Constants

This means we need to find Ksp from thermodynamic data

Write the balanced reaction:

Fe(OH)3(s) Fe3+(aq) + 3 OH(aq)

ΔGf°(Fe(OH)3(s)) = –696.6 kJ/mol

ΔGf°(Fe3+(aq)) = –4.7 kJ/mol

ΔGf°(OH(aq)) = –157.2 kJ/mol

ΔG° = [–4.7 + 3(–157.2)] – [–696.6] = 220.3 kJ/mol

Then, Ksp = exp(–(220300 J)/(8.314 J·mol–1K–1 × 298 K) = 2.42×10–39

 

Back Next