Is Decrease in Enthalpy a Criterion for Spontaneity?

Chemistry · Thermodynamics · NEET

No. A decrease in enthalpy (exothermic, ΔH negative) is only a helping factor, not the real test for spontaneity. Some endothermic reactions (ΔH positive), like N2 + O2 → NO2, still happen on their own. Memory hook: "Downhill energy is a hint, not the rule" — you also need entropy (ΔS) to decide.
Enthalpy alone is NOT the criterion for spontaneityHReactantsProductsΔH < 0ExothermicReactantsProductsΔH > 0Endothermic — still spontaneous!
Left: an exothermic reaction (ΔH < 0) drops in enthalpy. Right: an endothermic reaction (ΔH > 0) like N2 + O2 → NO2 climbs in enthalpy yet is still spontaneous. So decrease in enthalpy is only a helping factor — the real test is ΔG = ΔH − TΔS.

Your doubts, answered

If a reaction gives out heat (exothermic), is it always spontaneous?

No. Giving out heat (ΔH negative) makes a reaction more likely to be spontaneous, but it is not a guarantee. Spontaneity is decided by ΔG = ΔH − TΔS. So even a reaction with negative ΔH can be non-spontaneous if the entropy term TΔS works against it strongly enough. Enthalpy is one factor, not the full answer.

Can an endothermic reaction (that absorbs heat) still be spontaneous?

Yes. NCERT gives two clear examples: ½N2(g) + O2(g) → NO2(g) with ΔH = +33.2 kJ/mol, and C(graphite) + 2S(l) → CS2(l) with ΔH = +128.5 kJ/mol. Both absorb heat (ΔH positive) yet occur on their own. This proves that a decrease in enthalpy is not required for a reaction to be spontaneous.

Why is decrease in enthalpy NOT the criterion for spontaneity?

Because it fails in real cases. People thought reactions go 'downhill' in energy like water falling down a hill. That guess works for many exothermic reactions, but it breaks for endothermic spontaneous reactions such as NO2 formation. If enthalpy were the true test, no endothermic reaction could ever be spontaneous — but many are. So enthalpy is only a contributing factor.

Then what really decides spontaneity?

The Gibbs free energy change: ΔG = ΆH − TΔS. A process is spontaneous when ΔG is negative. This combines two drives: lower enthalpy (ΔH negative) AND higher entropy/disorder (ΔS positive). NCERT introduces entropy (S) as the missing second factor after showing enthalpy alone is not enough.

What does 'spontaneous' actually mean here — does it mean fast?

No. Spontaneous means 'has the potential to proceed without outside help.' It says nothing about speed. H2 + O2 can sit for years without visibly reacting, yet the reaction is still called spontaneous. So do not confuse spontaneity (direction) with rate (how fast).

When does a negative ΔH actually guarantee spontaneity?

When ΔH is negative AND ΔS is positive, ΔG = ΔH − TΔS is negative at every temperature, so the reaction is spontaneous at all temperatures. This exact combination (ΔH < 0 and ΔS > 0) was the answer to a 2016 NEET question. If ΔS is negative, spontaneity depends on temperature.

⚠️ The NEET trap
A reaction is spontaneous only if it is exothermic (ΔH < 0), so ΔH < 0 alone is the condition for spontaneity at all temperatures.
For spontaneity at ALL temperatures you need ΔH < 0 AND ΔS > 0, because then ΔG = ΔH − TΔS stays negative at every T. ΔH < 0 by itself is not enough.
🧠 NTA loves 'at all temperatures' — that phrase forces both ΔH<0 AND ΔS>0. Enthalpy alone never earns full marks.

Real NEET questions

2016

The correct thermodynamic conditions for the spontaneous reaction at all temperatures is:

A · ΔH < 0 and ΔS = 0
B · ΔH > 0 and ΔS < 0
C · ΔH < 0 and ΔS > 0
D · ΔH < 0 and ΔS < 0
Solution: A reaction is spontaneous when ΔG = ΔH − TΔS is negative. To keep ΔG negative at EVERY temperature, ΔH must be negative (−) and −TΔS must also be negative, which needs ΔS positive. So ΔH < 0 and ΔS > 0. This shows enthalpy decrease alone is not the criterion — you also need positive entropy. Answer: C.
2017

For a given reaction, ΔH = 35.5 kJ/mol and ΔS = 83.6 J/K·mol. The reaction is spontaneous at: (Assume ΔH and ΔS do not vary with temperature.)

A · T < 425 K
B · T > 425 K
C · All temperatures
D · T > 298 K
Solution: Here ΔH is POSITIVE (+35.5 kJ/mol), so the reaction is endothermic — yet it can still be spontaneous. Spontaneous means ΔG < 0, i.e. ΔH − TΔS < 0, so T > ΔH/ΔS. Convert units: T > 35500 J / 83.6 J·K⁻¹ = 424.6 ≈ 425 K. So it is spontaneous for T > 425 K. This directly proves an endothermic reaction becomes spontaneous once T is high enough. Answer: B.

Solved Thermodynamics NEET PYQs

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Frequently asked

Is decrease in enthalpy a criterion for spontaneity?

No. A negative ΔH (exothermic) is only a contributing factor. The true criterion is ΔG = ΔH − TΔS being negative, which also depends on entropy and temperature.

Give an example of a spontaneous endothermic reaction.

½N2(g) + O2(g) → NO2(g) with ΔH = +33.2 kJ/mol, and C(graphite) + 2S(l) → CS2(l) with ΔH = +128.5 kJ/mol. Both absorb heat but are spontaneous (from NCERT).

Does spontaneous mean the reaction is fast?

No. Spontaneous only means the reaction can proceed on its own without external help. H2 + O2 is spontaneous but extremely slow at room temperature.

What is the full criterion for spontaneity?

ΔG < 0, where ΔG = ΔH − TΔS. This combines the enthalpy factor (ΔH) and the entropy factor (ΔS) at a given temperature T.

When is a reaction spontaneous at all temperatures?

When ΔH < 0 and ΔS > 0. Then ΔG = ΔH − TΔS is negative at every temperature. This was the answer to a 2016 NEET question.