How Gibbs Free Energy Predicts Reaction Spontaneity

Gibbs Free Energy (G) measures the maximum usable energy in a system available to do work at constant temperature and pressure.

What Is Gibbs Free Energy?

Gibbs Free Energy helps us predict whether a chemical reaction will occur spontaneously without outside energy input.

Why Does It Matter?

ΔG=ΔH−TΔS ΔG° = ΔG − RTlnQ

Key Equations

A reaction is spontaneous if: ΔG<0 Negative ΔG = spontaneous reaction Positive ΔG = non-spontaneous reaction ΔG = 0 = equilibrium

Spontaneity Condition

ΔH < 0: Exothermic reaction (releases heat) ΔH > 0: Endothermic reaction (absorbs heat) This affects ΔG directly.

Enthalpy’s Role (ΔH)

ΔS > 0: More disorder (favorable) ΔS < 0: Less disorder (unfavorable) Entropy changes also impact ΔG.

Entropy’s Role (ΔS)

Temperature (T) can shift the balance: High T favors reactions increasing disorder (entropy-driven). Low T favors reactions releasing energy (enthalpy-driven).

Temperature’s Role

Combustion reactions have: ΔH < 0 (release heat) ΔS > 0 (increase disorder) Result: Always spontaneous (ΔG < 0).

Example 1: Combustion

At room temperature: ΔH > 0 (absorbs heat) ΔS > 0 (increases disorder) Result: ΔG < 0, spontaneous at high temperatures.

Example 2: Ice Melting

ΔH > 0 (energy absorbed) ΔS < 0 (more ordered products) Result: Non-spontaneous without sunlight (positive ΔG).

Example 3: Photosynthesis

Gibbs Free Energy guides processes like: Designing batteries Understanding metabolism Developing sustainable energy sources

Real-Life Application

Non-spontaneous reactions can occur by coupling with spontaneous ones. Example: ATP hydrolysis powers biological processes.

Reaction Coupling

Gibbs Free Energy predicts reaction spontaneity. Negative ΔG = spontaneous. Factors: Enthalpy, entropy, and temperature.

Summary