Standard Enthalpy of Formation and Enthalpy of Reaction

Chemistry · Thermodynamics · NEET

Standard enthalpy of formation (ΔfH°) is the heat change when 1 mole of a compound is made from its elements in their most stable form, at 1 bar and 298 K. To find the enthalpy of any reaction, use ΔrH° = Σ ΔfH°(products) − Σ ΔfH°(reactants). Memory hook: "Products minus Reactants" — always in that order, or your sign flips.
Enthalpy of Reaction from Formation ValuesEnthalpy (H)Elements(ΔfH = 0)ReactantsProductsΣΔfH(react)ΣΔfH(prod)ΔrHΔrH° = ΣΔfH(products) − ΣΔfH(reactants)
Elements sit at the zero line (ΔfH = 0). Reactants and products each drop by their own formation enthalpies. The enthalpy of the reaction (ΔrH°) is simply the products' total formation enthalpy minus the reactants' total.

Your doubts, answered

What does 'standard enthalpy of formation' actually mean in simple words?

It is the heat released or absorbed when exactly 1 mole of a compound forms from its elements, with each element in its most stable natural form. 'Standard' means we fix the conditions: pressure 1 bar and (usually) temperature 298 K. Example: for CO2, it is the ΔH of C(graphite) + O2(g) → CO2(g), which is −393.5 kJ per mole. The '1 mole of product' part is a rule: the equation must make one mole of the compound, even if you need fractions like 1/2 O2.

Why is the enthalpy of formation of O2, H2, or any element zero?

Because forming an element from itself needs no change at all. ΔfH° is measured from elements in their most stable state, so an element in that stable state is already the starting point. O2(g), H2(g), N2(g), and C(graphite) are all the most stable forms, so their ΔfH° = 0 by definition. Careful trap: C(graphite) is zero, but C(diamond) is NOT zero (+1.9 kJ/mol), because diamond is not the most stable form. Same for O3 (ozone), which is not zero.

How do I calculate the enthalpy of a reaction from formation values?

Use the formula ΔrH° = Σ ΔfH°(products) − Σ ΔfH°(reactants). Multiply each ΔfH° by the number of moles (the coefficient) in the balanced equation, add them for products, add them for reactants, then subtract. Always products first. If you flip the order you get the wrong sign, which is the most common mistake in NEET.

What is the difference between enthalpy of formation and enthalpy of reaction?

Enthalpy of formation (ΔfH°) is a special case: it is only for making 1 mole of ONE compound from its elements. Enthalpy of reaction (ΔrH°) is the heat change for ANY balanced reaction. You use the formation values as building blocks to calculate the reaction value. So formation is the ingredient, reaction is the final dish.

Why must the balanced equation form exactly 1 mole for a formation reaction?

Because ΔfH° is defined 'per mole of compound formed'. If your equation makes 2 moles, the ΔH you get is twice the formation enthalpy. That is why formation equations often use fractions like 1/2 N2 + 3/2 H2 → NH3. NEET questions test this: if a reaction makes 2 mol of water and releases 483.64 kJ, then ΔfH° of 1 mole of water is half, −241.82 kJ/mol.

If ΔfH is negative, does that mean the compound is stable?

Usually yes. A negative ΔfH° means energy was released when the compound formed, so it sits at lower energy than its separate elements. Lower energy generally means more stable. A large negative value (like CO2 at −393.5) means a very stable compound. A positive ΔfH° (like for ozone) means the compound is at higher energy and is less stable relative to its elements.

⚠️ The NEET trap
For 2H2(g) + O2(g) → 2H2O(g), ΔrH° = −483.64 kJ, so the enthalpy of formation of water is −483.64 kJ/mol.
That equation forms 2 moles of water, so −483.64 kJ is for 2 moles. Per 1 mole, ΔfH°(H2O) = −483.64 / 2 = −241.82 kJ/mol. Formation enthalpy is always PER MOLE of the compound.
🧠 Formation = per 1 mole. If the equation makes 2 moles, divide by 2 before you call it a formation enthalpy.

Real NEET questions

NEET 2023

Consider the 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: Forming 2 mol of H2O(g) releases 483.64 kJ, so forming 1 mol releases 483.64/2 = 241.82 kJ, meaning ΔfH°(H2O) = −241.82 kJ/mol. Decomposition of 1 mole of water is the reverse of its formation, so its enthalpy change has the opposite sign: +241.82 kJ. Answer: (D).
NEET 2025

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

A · +133.0
B · +220.5
C · −128.5
D · −133.0
Solution: For crystallisation Ba²⁺(aq) + SO4²⁻(aq) → BaSO4(s), apply ΔrH° = Σ products − Σ reactants: ΔHcrys = ΔfH°(BaSO4) − [ΔfH°(Ba²⁺) + ΔfH°(SO4²⁻)]. Substitute: −4.5 = −349 − [ΔfH°(Ba²⁺) + (−216)]. So −4.5 = −349 − ΔfH°(Ba²⁺) + 216 = −133 − ΔfH°(Ba²⁺). Thus ΔfH°(Ba²⁺) = −133 + 4.5 = −128.5 kcal/mol. Answer: (C).

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Frequently asked

What are the standard conditions for enthalpy of formation?

Pressure of 1 bar and a specified temperature, usually 298 K (25 °C). Each element must be in its most stable physical state at these conditions, for example carbon as graphite and oxygen as O2 gas.

Is enthalpy of formation always negative?

No. Most compounds have negative ΔfH° because forming them releases energy. But some, like ozone (O3) and nitric oxide (NO), have positive ΔfH° because they store energy and are less stable than their elements.

What is the sign convention: products minus reactants or reactants minus products?

Always products minus reactants: ΔrH° = Σ ΔfH°(products) − Σ ΔfH°(reactants). Reversing this order flips the sign and is the top cause of wrong answers in NEET.

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

The formation formula is really a shortcut version of Hess's Law. Hess's Law lets you add and subtract any reactions to find an unknown ΔH, while the formation formula is the special ready-made version that uses tabulated ΔfH° values.

Do I need to multiply ΔfH° by the number of moles?

Yes. Multiply each compound's ΔfH° by its coefficient in the balanced equation before adding. For example, if the equation has 2H2O, use 2 × ΔfH°(H2O).