Below are some thermochemical data for the dissolutionequilibrium of solid aluminum hydroxide in water:
| Al(OH)3(s) | → | Al3+(aq) | + | 3OH−(aq) |
ΔfH∘/kJ⋅mol−1 | −1284 | | −538.4 | | −230.02 |
S∘/J⋅mol−1⋅K−1 | 85.4 | | −325 | | −10.9 |
Part A Compute ΔrH∘ (Express youranswer in kilojoules per mole as an integer.)
Part B Compute ΔrS∘ (Express youranswer in joules per mole per kelvin to one decimal place.)
Part C Compute ΔrG∘ at 298 K(Express your answer in kilojoules per mole as an integer.)
Part E Determine the equilibrium constant forthe dissolution of Al(OH)3 at 298 K
Part F Determine the Gibbs energy change forthe dissolution of Al(OH)3 when the concentrations ofAl3+ and OH− are both1.20×10−7mol⋅L−1 (Express your answer inkilojoules per mole as an integer.)
Part H At what temperature willAl(OH)3(s) be at equilibrium with Al3+ andOH−, each at 1.20×10−7mol⋅L−1?
Part I Explain why the entropy of dissolutionfor this reaction, solid Al(OH)3(s) dissolving to formAl3+ and 3OH−, is so negative. Match thewords in the left column to the appropriate blanks in the sentenceson the right.
lose, holds on to, low, is releasedfrom, gain, high
The Al 3+ ion has a quite __ charge so that it __water molecules, which causes the water molecules to __translational and rotational degrees of freedom so that the entropyassociated with Al 3+ in the aqueous phase is verynegative.