23.4 Gibbs Free Energy Change, ΔG


2026 Syllabus Objectives

By the end of these notes, you will be able to:

  1. State and use the Gibbs equation: ΔG⦵ = ΔH⦵ – TΔS⦵
  2. Perform calculations using the Gibbs equation
  3. State whether a reaction is feasible (likely to happen) based on the sign of ΔG
  4. Predict how a change in temperature affects whether a reaction is feasible, given values of ΔH and ΔS

1. What is Gibbs Free Energy?

Why Do We Need It?

You have already learned about two important ideas:

  • Enthalpy change (ΔH) — whether a reaction releases or absorbs heat energy
  • Entropy change (ΔS) — whether a reaction increases or decreases disorder (randomness)

You might think you could use just one of these — say, entropy change — to decide whether a reaction will happen. But that turns out to be inaccurate. A reaction's tendency to occur depends on both the enthalpy change and the entropy change together.

Gibbs free energy (G) is a value that combines both ΔH and ΔS into a single number. It tells you whether a reaction will happen on its own (is feasible) or not.

💡 Feasible simply means "likely to occur" or "able to proceed on its own."


2. The Gibbs Equation

The Gibbs equation is:

\boxed{ΔG^⦵ = ΔH^⦵ - TΔS^⦵}

Here is what each symbol means:

SymbolWhat it stands forUnits
ΔG⦵Gibbs free energy changekJ mol⁻¹
ΔH⦵Standard enthalpy change of the reactionkJ mol⁻¹
TTemperatureK (Kelvin)
ΔS⦵Standard entropy change of the systemJ K⁻¹ mol⁻¹

⚠️ Critical warning about units: ΔH is in kJ mol⁻¹, but ΔS is in J K⁻¹ mol⁻¹. These units do not match. Before you plug numbers into the equation, you must convert ΔS from J K⁻¹ mol⁻¹ into kJ K⁻¹ mol⁻¹ by dividing by 1000. This is the most common mistake students make.


3. Performing Calculations Using the Gibbs Equation

Step-by-Step Method

Follow these steps every time:

  1. Write down the values of ΔH, ΔS, and T from the question.
  2. Convert ΔS from J K⁻¹ mol⁻¹ to kJ K⁻¹ mol⁻¹ by dividing by 1000.
  3. Substitute all values into ΔG⦵ = ΔH⦵ – TΔS⦵.
  4. Calculate ΔG and write the answer with units (kJ mol⁻¹).
  5. State whether the reaction is feasible based on the sign of ΔG (covered in the next section).

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