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Chemistry

What Is the Difference Between Enthalpy and Entropy in Reactions?

Quick fact

A reaction can be endothermic (absorbs heat) and still be spontaneous if it increases entropy enough—for example, dissolving ammonium nitrate in water feels cold but proceeds readily because the ions spread out and create far more disorder.

Why this is interesting

Why do some reactions that absorb heat happen on their own, while some that release heat don't happen at all? The answer lies in the hidden tension between enthalpy and entropy.

Read the full explanation

Understanding What Is the Difference Between Enthalpy and Entropy in Reactions?

Think of a chemical reaction as a crowd of molecules rearranging themselves. Enthalpy is about the energy bookkeeping: when bonds break and form, energy is either absorbed from the surroundings or released as heat. If a reaction gives off heat, it is exothermic (ΔH < 0); if it takes in heat, it is endothermic (ΔH 0). Entropy, on the other hand, is about how spread out or disordered the energy and matter become. A gas spreading into a vacuum has high entropy; a neatly ordered crystal has low entropy. In a reaction, entropy increases (ΔS 0) when products are more disordered than the reactants, and decreases (ΔS < 0) when they are more ordered. The key difference is that enthalpy tells you about heat energy exchanged, while entropy tells you about the number of ways particles and energy can be arranged. A reaction's tendency to go forward depends on both, not on either alone.

A deeper explanation

The deeper principle is that nature tends toward lower energy and higher disorder, and these two tendencies can pull in opposite directions. Enthalpy reflects the strength of chemical bonds and intermolecular forces: forming stronger, more stable bonds releases heat. Entropy reflects probability: a system naturally moves toward configurations that can be realized in more ways, which is why particles spread out and thermal energy disperses. The connection between the two is expressed by the Gibbs free energy equation, ΔG = ΔH - TΔS. A reaction is spontaneous when ΔG is negative. This equation shows that a decrease in enthalpy (negative ΔH) favors spontaneity, but so does an increase in entropy (positive ΔS). Temperature is the deciding factor because it multiplies the entropy term. At high temperatures, entropy changes can dominate, making an endothermic reaction spontaneous if it also creates disorder; at low temperatures, enthalpy changes often dominate. This explains surprising examples like ice melting: it absorbs heat (positive ΔH), but its entropy increases so much that it becomes spontaneous above 0 °C. Understanding enthalpy versus entropy therefore matters because it reveals why the energy released or absorbed is only half of the story—the spreading of energy and matter is the other half.

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