Gibbs Free Energy (ΔG = ΔH − TΔS): How to Predict If a Reaction is Spontaneous

Chemistry · Thermodynamics · NEET

Gibbs free energy uses one simple rule: ΔG = ΔH − TΔS. If ΔG is negative, the reaction happens on its own (spontaneous). If ΔG is positive, it does not happen on its own; if ΔG is zero, the system is at equilibrium. Memory hook: "Negative ΔG = Go" — the reaction gets a green light only when ΔG is below zero.
ΔG = ΔH − TΔS decides spontaneityΔG < 0SpontaneousReaction goesforward on its ownΔG = 0EquilibriumNo net changein either directionΔG > 0Non-spontaneousForward reactiondoes not occurΔH negative + ΔS positive → ΔG negative at all temperatures
The sign of ΔG (from ΔG = ΔH − TΔS) is the single test for spontaneity: negative means the reaction runs on its own, zero means equilibrium, and positive means it will not go forward.

Your doubts, answered

Is a reaction spontaneous when ΔG is negative or positive?

A reaction is spontaneous (it happens on its own) only when ΔG is NEGATIVE. When ΔG is positive the reaction is non-spontaneous in the forward direction. When ΔG is exactly zero the system is at equilibrium. So just remember: ΔG < 0 means Go, ΔG > 0 means No, ΔG = 0 means balanced. This one sign is the most tested idea in NEET thermodynamics.

Why is there a minus sign before TΔS in ΔG = ΔH − TΔS?

The minus sign is there because entropy (disorder) FAVOURS a reaction. When ΔS is positive (disorder increases), the term −TΔS becomes negative and pulls ΔG down toward the spontaneous side. So a positive ΔS actually helps the reaction go. Nature likes lower energy (ΔH negative) AND more disorder (ΔS positive) — the minus sign lets both work together to make ΔG negative.

What is the difference between ΔH, TΔS and ΔG?

ΔH is the heat term (energy released or absorbed). TΔS is the disorder term (temperature times entropy change). ΔG is the NET result after balancing both. Think of it as a tug-of-war: ΔH pulls one way, TΔS pulls the other, and ΔG tells you who wins. Only ΔG decides spontaneity — not ΔH alone. A reaction can release heat (ΔH negative) but still not be spontaneous if the disorder term is against it.

When is a reaction spontaneous at all temperatures?

A reaction is spontaneous at EVERY temperature only when ΔH is negative AND ΔS is positive. Look at ΔG = ΔH − TΔS: if ΔH is negative and ΔS is positive, then −TΔS is also negative, so ΔG stays negative no matter what T is. Both terms push in the same direction. This exact combination was asked directly in NEET 2016 (answer: ΔH < 0 and ΔS > 0).

How do I calculate ΔG from ΔH and ΔS if the units are different?

This is the most common calculation slip. ΔH is usually given in kJ/mol but ΔS is given in J/K/mol. You MUST convert them to the same unit first. The safest way: change ΔS from J to kJ by dividing by 1000, or change ΔH from kJ to J by multiplying by 1000. Also remember to use temperature T in Kelvin. Forgetting this 1000 factor gives a wildly wrong answer.

Does a negative ΔH always mean the reaction is spontaneous?

No, and this is a trap. A negative ΔH (exothermic, heat released) only FAVOURS spontaneity, it does not guarantee it. If ΔS is very negative, the +T|ΔS| part can make ΔG positive, so the reaction is non-spontaneous even though it releases heat. Always compute ΔG = ΔH − TΔS fully before deciding. Only the sign of ΔG is the final judge.

⚠️ The NEET trap
The reaction releases heat (ΔH is negative), so it must be spontaneous.
Spontaneity is decided by the sign of ΔG, not ΔH. In NEET 2026, ΔH° came out to −12.476 kJ/mol (exothermic) but after the −TΔS term (ΔS was negative), ΔG° = +0.636 kJ/mol, so the reaction is NON-spontaneous at 298 K.
🧠 Exothermic is a hint, not a verdict. Always finish ΔG = ΔH − TΔS before you answer.

Real NEET questions

NEET 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: Use ΔG = ΔH − TΔS. For the reaction to be spontaneous at EVERY temperature, ΔG must be negative for all T. This needs ΔH < 0 (enthalpy term negative) AND ΔS > 0 (so −TΔS is also negative at every T). With both terms negative, ΔG < 0 regardless of temperature. Answer: (C).
NEET 2017

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

A · T < 425 K
B · T > 425 K
C · All temperatures
D · T > 298 K
Solution: Both ΔH and ΔS are positive. Spontaneity needs ΔG = ΔH − TΔS < 0, i.e. TΔS > ΔH, so T > ΔH/ΔS. Convert units: ΔH = 35.5 × 1000 = 35500 J/mol. Then T > 35500 / 83.6 ≈ 425 K. So the reaction becomes spontaneous only above 425 K. Answer: (B).
NEET 2026

For 2A(g) + B(g) → 2D(g), ΔU° = −10 kJ/mol and ΔS° = −44 J/K at 298 K. Find ΔG° and the spontaneity at 298 K. (R = 8.31 J/mol/K)

A · −1.635 kJ/mol, spontaneous
B · −0.63568 kJ/mol, spontaneous
C · +0.63568 kJ/mol, non-spontaneous
D · +1.635 kJ/mol, non-spontaneous
Solution: Step 1: Δn_g = 2 − (2+1) = −1. Step 2: Convert ΔU° to ΔH° using ΔH = ΔU + Δn_g RT = −10 + (−1)(8.31)(298)/1000 = −10 − 2.476 = −12.476 kJ/mol. Step 3: ΔG° = ΔH° − TΔS° = −12.476 − 298 × (−44)/1000 = −12.476 + 13.112 = +0.636 kJ/mol. Since ΔG° > 0, the reaction is NON-spontaneous at 298 K. Answer: (C).

Solved Thermodynamics NEET PYQs

Try the real previous-year questions from this chapter — each with the answer and a full solution.

See all 28 Thermodynamics NEET PYQs ›
Next concept: Effect of Temperature on SpontaneityKeep learning — 2 minFeeling ready? Solve the Thermodynamics NEET PYQs ›Or practice on your phone — get the free MedicNEET app ›

Frequently asked

What is the Gibbs free energy equation?

ΔG = ΔH − TΔS. Here ΔG is the Gibbs energy change, ΔH is the enthalpy change, T is the temperature in Kelvin, and ΔS is the entropy change. G is a state function and an extensive property, so ΔG depends only on the initial and final states.

What does the sign of ΔG tell us?

ΔG < 0 means the reaction is spontaneous (goes forward on its own). ΔG > 0 means it is non-spontaneous in the forward direction. ΔG = 0 means the system is at equilibrium.

Why is ΔG the real test of spontaneity and not ΔH?

Because ΔG combines BOTH energy (ΔH) and disorder (TΔS). A reaction can be exothermic yet non-spontaneous if the entropy term opposes it. Only ΔG gives the final answer, which is why NEET always tests ΔG, not ΔH alone.

How is temperature used in this equation?

Temperature T must be in Kelvin. It multiplies ΔS, so at high T the entropy term becomes large and can flip the sign of ΔG. This is why some reactions are spontaneous only above or below a certain temperature.

What is the most common mistake in NEET Gibbs energy problems?

Mixing units. ΔH is in kJ/mol but ΔS is in J/K/mol. You must convert them to match (divide ΔS by 1000 or multiply ΔH by 1000) before subtracting. Forgetting this changes the answer by a factor of 1000.