Hess's Law: How to Add Reactions to Find Unknown Enthalpy

Chemistry · Thermodynamics · NEET

Hess's Law says the total enthalpy change (ΔH) of a reaction is the same whether it happens in one step or many steps. This works because enthalpy is a state function, so ΔH depends only on the start and end, not the path. To find an unknown ΔH, you treat reactions like math: reverse them (flip the sign of ΔH), multiply them (multiply ΔH too), then add them up. Memory hook: "Same start, same end = same ΔH, no matter the road you take."
Hess's Law: ΔH is the same by any pathReactantsProductsDirect path: ΔHIntermediateΔH₁ΔH₂ΔH = ΔH₁ + ΔH₂
Enthalpy is a state function, so going from reactants to products directly (ΔH) gives the same total as going through an intermediate (ΔH₁ + ΔH₂). This is the heart of Hess's Law.

Your doubts, answered

What is Hess's Law in the simplest words?

Hess's Law says: the total heat (enthalpy) change of a reaction is the same, no matter if the reaction goes in one step or many small steps. So if you cannot measure a reaction's ΔH directly, you can build that reaction by adding up other reactions whose ΔH you already know. The total ΔH will match.

Why does Hess's Law work? What is the real reason?

It works because enthalpy (H) is a state function. A state function depends only on the current state (the starting point and the ending point), not on the path taken to get there. So the enthalpy change ΔH only cares about reactants and products. Whether you take a short road or a long road, the change is the same. This is why for NEET you can safely add, reverse, or scale reactions.

How do I actually add reactions to find an unknown ΔH?

Follow three rules. (1) If you reverse a reaction (swap reactants and products), change the sign of ΔH (plus becomes minus, minus becomes plus). (2) If you multiply a reaction by a number (like 2 or 1/2), multiply its ΔH by the same number. (3) Add the adjusted reactions so that the extra species cancel out and you are left with the target reaction. Then add the adjusted ΔH values to get the answer.

What happens to ΔH when I reverse a reaction?

The sign of ΔH flips. If the forward reaction releases 200 kJ (ΔH = −200 kJ), the reverse reaction absorbs 200 kJ (ΔH = +200 kJ). This is a very common NEET trap: they give you a formation reaction and ask about decomposition, which is just the reverse. Remember to flip the sign.

What happens to ΔH when I multiply a reaction by 2 or by 1/2?

You multiply ΔH by the same number. If forming 2 moles of water releases 483.64 kJ, then forming 1 mole releases half of that, 241.82 kJ. Enthalpy is an extensive property, meaning it depends on the amount of substance. So doubling the amounts doubles ΔH; halving the amounts halves ΔH.

Is there a shortcut formula using enthalpy of formation?

Yes. ΔrH° = [sum of ΔfH° of products] − [sum of ΔfH° of reactants]. Multiply each ΔfH° by its number of moles in the balanced equation. This shortcut is just Hess's Law applied through formation reactions, so it always agrees with adding reactions step by step. Note: ΔfH° of any element in its most stable form is zero.

How is Hess's Law different from the enthalpy of formation method?

They are not really different. The formation-enthalpy formula (products minus reactants) is one special use of Hess's Law. Hess's Law is the bigger idea: you can combine ANY set of known reactions, not only formation reactions. Use the formation formula when you are given ΔfH° values; use step-by-step adding when you are given random reactions.

⚠️ The NEET trap
Given 2H₂(g) + O₂(g) → 2H₂O(g), ΔrH° = −483.64 kJ, students say the decomposition of 1 mole of water is −483.64 kJ (copying the number as given).
You must do TWO steps. First scale: forming 1 mole of water releases half, so ΔH = −241.82 kJ. Then reverse for decomposition: flip the sign to +241.82 kJ.
🧠 Decomposition = reverse of formation. Reverse the reaction → flip the sign. And '2 moles → 1 mole' means halve the ΔH first.

Real NEET questions

2023

Consider the following reaction: 2H₂(g) + O₂(g) → 2H₂O(g), ΔrH° = −483.64 kJ. What is the enthalpy change for the decomposition of one mole of water?

A · 18 kJ
B · 100 kJ
C · 120.9 kJ
D · 241.82 kJ
Solution: This tests two Hess's Law skills at once. Step 1 (scaling): the given reaction forms 2 moles of H₂O and releases 483.64 kJ. Forming 1 mole releases half: 483.64 / 2 = 241.82 kJ, so ΔH = −241.82 kJ per mole formed. Step 2 (reversing): decomposition of water is the reverse of formation, so flip the sign: ΔH = +241.82 kJ. Answer: D. Trap: option D matches, but students who forget to halve get 483.64, and students who forget to reverse keep the minus sign.
2025

The standard heat of formation, in kcal mol⁻¹, of Ba²⁺ is: [Given: ΔfH° of SO₄²⁻(aq) = −216 kcal mol⁻¹, standard heat of crystallisation of BaSO₄(s) = −4.5 kcal mol⁻¹, ΔfH° of BaSO₄(s) = −349 kcal mol⁻¹]

A · +133.0
B · +220.5
C · −128.5
D · −133.0
Solution: Use Hess's Law for the crystallisation step: Ba²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s). For this, ΔHcrys = ΔfH°(BaSO₄, s) − [ΔfH°(Ba²⁺) + ΔfH°(SO₄²⁻)]. Substitute the given numbers: −4.5 = −349 − [ΔfH°(Ba²⁺) + (−216)]. Solve: ΔfH°(Ba²⁺) = −349 + 216 + 4.5 = −128.5 kcal mol⁻¹. Answer: C. This is the direct 'products minus reactants' form of Hess's Law, rearranged to find one unknown formation enthalpy.

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Frequently asked

Does Hess's Law only work for enthalpy?

No. Because it comes from the idea of a state function, the same logic works for any state function, such as internal energy (ΔU) and entropy (ΔS). But in NEET Chemistry, you will mostly use it for enthalpy (ΔH).

Do I always need to reverse or multiply reactions?

Only when needed to match your target. First write the target reaction. Then adjust each given reaction (reverse or multiply) so the unwanted species cancel and the correct species end up on the right side. If a reaction is already in the right direction and amount, leave it alone.

What is the sign rule I must never forget?

Reverse a reaction → change the sign of ΔH. Multiply a reaction by n → multiply ΔH by n. These two rules solve almost every NEET Hess's Law numerical.

Why is enthalpy of formation of an element zero?

By definition, the standard enthalpy of formation of an element in its most stable form (like O₂ gas, or solid carbon as graphite) is taken as zero. This gives a common reference point so all ΔfH° values can be compared.

How often does Hess's Law appear in NEET?

Enthalpy problems, including Hess's Law, appear almost every year in the Thermodynamics chapter. Learning to reverse, scale and add reactions is one of the highest-value skills for scoring in Physical Chemistry.