How the MCAT tests thermodynamics

Thermodynamics is part of AAMC content category 5E and pairs constantly with biochemistry — ATP, metabolism, and protein folding are all thermodynamics problems in disguise. The MCAT emphasizes signs and reasoning (is ΔG negative? does entropy rise?) over heavy calculation.

workspace_premium The one equation

ΔG = ΔH − TΔS ties the whole topic together. Enthalpy and entropy each push on spontaneity, and temperature decides which wins when they disagree.

Enthalpy: heat of reaction

Enthalpy change (ΔH) is the heat absorbed or released at constant pressure. Breaking bonds costs energy (endothermic); forming bonds releases it (exothermic). The net of the two sets the sign of ΔH.

Exothermic (ΔH < 0) reactants products releases heat Endothermic (ΔH > 0) reactants products absorbs heat Bond breaking absorbs energy; bond forming releases it. ΔH = Σ bonds broken − Σ bonds formed.
Exothermic vs endothermic. Exothermic reactions release heat and place products below reactants; endothermic reactions absorb heat and place products above.
ΔH°rxn = Σ ΔH°f(products) − Σ ΔH°f(reactants)Standard enthalpyCompute a reaction’s enthalpy from standard enthalpies of formation; elements in their standard state have ΔH°f = 0.
workspace_premium Hess’s law

Because enthalpy is a state function, you can add the ΔH of any sequence of steps that sums to the overall reaction — the path does not matter, only the start and end.

Entropy: the drive toward disorder

Entropy (S) measures the number of ways to arrange a system’s energy and matter — loosely, its disorder. Processes that spread things out increase entropy.

  • ΔS > 0 (increasing disorder): solid → liquid → gas, dissolving a solid, or producing more gas molecules.
  • ΔS < 0 (increasing order): gas → liquid → solid, or combining many molecules into fewer.
  • A quick check: count moles of gas. More gas on the product side usually means ΔS > 0.

Gibbs free energy and spontaneity

Gibbs free energy combines enthalpy and entropy into a single spontaneity criterion. A process is spontaneous (thermodynamically favorable) when ΔG is negative.

ΔG = ΔH − TΔS (spontaneous when ΔG < 0) ΔS < 0 ΔS > 0 ΔH < 0 ΔH > 0 Spontaneousonly at low T Spontaneousat all T Nevernonspontaneous at all T Spontaneousonly at high T
Spontaneity map. When ΔH and ΔS favor opposite outcomes, temperature is the tiebreaker: the TΔS term grows with T, so it dominates at high temperature.
ΔG = ΔH − TΔSGibbs free energyΔG < 0 spontaneous, ΔG = 0 equilibrium, ΔG > 0 nonspontaneous (spontaneous in reverse). Also ΔG° = −RT ln K.
functions Worked example — temperature and spontaneity

A reaction has ΔH = +50 kJ/mol and ΔS = +0.10 kJ/(mol·K). Is it spontaneous at 300 K? At 600 K?

  1. At 300 K: ΔG = 50 − (300)(0.10) = 50 − 30 = +20 kJ/mol → nonspontaneous.
  2. At 600 K: ΔG = 50 − (600)(0.10) = 50 − 60 = −10 kJ/mol → spontaneous.
  3. Because ΔH and ΔS are both positive, raising T makes the −TΔS term dominate.

Answer. Nonspontaneous at 300 K, spontaneous at 600 K — this reaction is entropy-driven at high temperature.

Heating curves and phase changes

When you add heat to a substance, its temperature rises — except during a phase change, when the added energy goes into breaking intermolecular forces at constant temperature.

melting (Tm) boiling (Tb) solid liquid gas T constant whilephase changes Heat added → Temperature →
Heating curve. Sloped segments warm a single phase; flat plateaus are melting and boiling, where temperature holds constant while the phase changes.
  • Sloped region: q = mcΔT — heat raises temperature within one phase (c is specific heat).
  • Plateau: q = nΔH — heat drives the phase change (fusion or vaporization) at constant T.
  • The boiling plateau is longer than melting because vaporization takes more energy than fusion.

The laws in brief and biological links

The three thermodynamic laws frame everything: energy is conserved (first law), the entropy of the universe increases for any spontaneous process (second law), and a perfect crystal at absolute zero has zero entropy (third law).

Living systems stay ordered (local ΔS < 0) by increasing the entropy of their surroundings even faster — powered by ΔG-negative reactions like ATP hydrolysis. This is the bridge into biochemistry and metabolism.

How to study it — and the traps to avoid

Thermodynamics rewards sign-sense over arithmetic. Practice predicting the sign of each term and what it does to ΔG.

  1. For every process, predict the signs of ΔH and ΔS first.
  2. Use ΔG = ΔH − TΔS to find the temperature where spontaneity flips.
  3. Separate q = mcΔT (temperature change) from q = nΔH (phase change).
  4. Remember spontaneous says nothing about speed — that is kinetics.
error Highest-yield trap

A spontaneous (ΔG < 0) reaction can still be immeasurably slow. Thermodynamics predicts direction and favorability; it says nothing about rate. Speed is set by activation energy — see kinetics.