AP Chemistry / Topic

Applications of Thermodynamics

Unit 9 covers entropy, Gibbs free energy and spontaneity, the link between ΔG° and K, and electrochemistry: galvanic and electrolytic cells, standard cell potential, and Faraday's-law calculations.

43 practice questions2 FRQs27 skill areas

What the exam asks

  • Predict the sign of ΔS° from states of matter and gas mole counts
  • Use ΔG = ΔH − TΔS to decide when a process is thermodynamically favored
  • Relate ΔG° to K (favored means K > 1) and to cell potential
  • Analyze galvanic cells: anode/cathode, electron flow, salt bridge, and E°cell
  • Contrast electrolytic cells and compute deposited mass with Faraday's law
  • Explain why favored reactions can still be slow (kinetic control)

Key formulas and rules

Gibbs free energy

ΔG° = ΔH° − TΔS°; favored when ΔG° < 0

Four sign cases

ΔH<0, ΔS>0: always favored; ΔH>0, ΔS<0: never; otherwise temperature decides

Free energy and K

ΔG° = −RT ln K

Cell potential

E°cell = E°cathode − E°anode; favored when E°cell > 0; ΔG° = −nFE°

Faraday's law

moles e− = I·t / 96,485; then use mole ratios to get metal deposited

Electrode mnemonic

RED CAT / AN OX — reduction at cathode, oxidation at anode (both cell types)

Question bank breakdown

Multiple choice

43

Free response

2

Difficulty mix

13 easy · 22 medium · 8 hard

Skills covered

Entropy changesEntropy and the second lawGibbs free energy and spontaneityGalvanic (voltaic) cellsGalvanic cells and cell notationStandard reduction potentialsStandard reduction potentials and cell potentialElectrolysis and Faraday's lawElectrolysisRelationship between ΔG°, K, and E°cellEntropy Sign PredictionGalvanic and Electrolytic CellsGibbs Free Energy and Favorability vs TemperatureFree Energy and EquilibriumCell Potential and Free EnergyGibbs Free Energy CalculationStandard Cell PotentialStandard Reduction Potentials and Redox StrengthElectrolysis and Faraday's LawCoupled ReactionsThermodynamic vs Kinetic ControlCell Potential Under Nonstandard ConditionsAbsolute Entropy ComparisonEntropy Change from Standard Molar Entropies

Every question in the bank comes with a per-choice explanation, so you learn why each wrong answer is wrong — not just the key.

Practice this topic

The full set of Applications of Thermodynamics questions — with a per-choice explanation on every answer — lives in the practice workspace. Start free, no account needed.

Study tip

Keep units honest in ΔG = ΔH − TΔS: ΔH is usually kJ/mol while ΔS° is J/(mol·K). Convert ΔS to kJ before subtracting — the exam plants answer choices that punish skipping this step.