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Physical Foundations → Gibbs Free Energy & Spontaneity

Gibbs Free Energy & Spontaneity

When processes actually occur.

01The idea

The First Law tells us energy is conserved. The Second Law tells us entropy increases.

Neither alone tells us whether a specific process will occur under biological conditions.

THREAD · Energy vs. rate

Gibbs free energy integrates both into a single criterion.

02Build the model

AWhat Gibbs free energy represents

Gibbs free energy (G) represents the portion of a system’s energy that is available to do useful work at constant temperature and pressure — the conditions of most chemical and biological systems.

Conceptually:

ΔG = ΔH − TΔS

This equation is not a formula to memorize — it is a competition.

  • ΔH → energetic favorability
  • ΔS → entropic favorability
  • T → weighting factor

BThe three outcomes

  • ΔG < 0 → spontaneous (exergonic)
  • ΔG = 0 → equilibrium
  • ΔG > 0 → non-spontaneous (endergonic)

CTemperature dependence

Temperature determines how much entropy contributes.

  • At low T → enthalpy dominates
  • At high T → entropy dominates

This explains why:

  • Some reactions become spontaneous only at high temperature
  • Others become non-spontaneous as temperature rises

DFour canonical ΔH / ΔS scenarios

ΔHΔSSpontaneity
−+Always spontaneous
+−Never spontaneous
−−Spontaneous at low T
++Spontaneous at high T

EFree energy and equilibrium

At equilibrium:

  • ΔG = 0
  • Forward and reverse rates are equal

This idea underlies:

  • Chemical equilibria
  • Biological steady states

FBiological coupling: making the unfavorable happen

Many biological reactions have ΔG > 0 and would not occur alone.

Cells solve this by coupling:

  • An unfavorable reaction
  • To a highly favorable one (e.g., ATP hydrolysis)

If the total ΔG is negative, the process proceeds.

03MCAT lens

The MCAT emphasizes

Sign reasoning over calculation

Biological relevance of coupling

ΔG as a predictor of direction, not rate

You are rarely asked to compute ΔG. You are often asked to interpret what a sign or change implies.

04Common traps

Trap 1: Negative ΔG means fast

Misconception

Kinetics are separate.

Correct model

ΔG predicts direction, not speed.

Trap 2: Endergonic reactions cannot occur

Misconception

Coupling enables them.

Correct model

Net ΔG governs behavior.

Trap 3: Equilibrium means no activity

Misconception

It means no net change.

Correct model

Dynamic balance persists.

05Dependency check

Can you reconstruct this concept without looking at the page? You should now be able to reason through:

Why some reactions occur only at certain temperatures
Why ATP hydrolysis drives cellular processes
Why unfavorable reactions proceed in cells
Why ΔG predicts spontaneity

If something feels unclear, the missing idea is usually thisSpontaneity reflects the trade-off between energy release and entropy gain.

06Forward hook

Gibbs free energy tells us whether a process can occur. The next question is:

How fast does it occur, and what controls the rate?

That leads directly to reaction kinetics, activation energy, and catalysis.

Next lesson
Oscillations & Simple Harmonic Motion
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