Bond Enthalpy: Calculating ΔH of a Reaction from Bond Energies

Chemistry · Thermodynamics · NEET

To find ΔH of a reaction from bond enthalpies, use one simple rule: ΔH = (energy to break all reactant bonds) − (energy released making all product bonds). Breaking bonds needs energy (positive), forming bonds gives energy (negative). Memory hook: "Break costs, Make pays" — you pay to break reactant bonds and get paid back when product bonds form.
ΔH = (bonds BROKEN) − (bonds FORMED)ReactantsBreak bondsneeds energy (+)endothermicgas-phase atomsProductsForm bondsgives energy (−)exothermicΔH < 0 : exothermicΔH > 0 : endothermicAll species must be GASES · values are AVERAGE (approximate ΔH)
To get ΔH, add the energy needed to break all reactant bonds (positive), then subtract the energy released when all product bonds form (negative). All species must be gaseous, and the answer is approximate because table values are averages.

Your doubts, answered

What is the exact formula to get ΔH from bond enthalpies?

ΔH_reaction = Σ(bond enthalpies of bonds BROKEN in reactants) − Σ(bond enthalpies of bonds FORMED in products). You add up every bond you break on the left side, then subtract every bond you make on the right side. This works because breaking bonds absorbs energy and forming bonds releases energy.

Is it reactants minus products, or products minus reactants?

For bond enthalpy it is BONDS BROKEN minus BONDS FORMED, which is reactant bonds − product bonds. Be careful: this is the OPPOSITE order from enthalpy of formation (where you do products − reactants). Many students lose marks by mixing the two. Rule to remember: bonds broken first (they cost energy), bonds formed second.

Is breaking a bond endothermic or exothermic?

Breaking a bond is always endothermic — you must PUT IN energy to pull two atoms apart. So bond dissociation energy is always positive. Forming a bond is exothermic — energy is RELEASED. That is why in the formula, bonds broken are added (+) and bonds formed are subtracted (−).

Why is bond dissociation energy always a positive number?

Because it is defined as the energy REQUIRED to break one mole of a bond in the gas phase. You always have to supply energy to break a bond, never get it free, so the value is positive by definition. When that same bond forms, the enthalpy released is the negative of this value.

How is bond enthalpy different from enthalpy of formation?

Bond enthalpy is the energy to break one specific bond (like C–H) in the gas phase. Enthalpy of formation is the ΔH to make one mole of a compound from its elements in standard states. They are different tools that both give ΔH, but the bond enthalpy method needs ALL species in the gaseous state and uses average bond values, so it gives only an approximate ΔH.

Do bond enthalpies give an exact ΔH?

No — they give an approximate value. Bond enthalpy tables list AVERAGE values (a C–H bond in methane differs slightly from a C–H bond in ethane). Also, the method only works when every reactant and product is a gas. For an exact answer NEET usually expects the enthalpy of formation or Hess's law route.

How do I count bonds in a molecule like CH4 or O2?

Draw the structure. CH4 has 4 C–H bonds. O2 has 1 O=O double bond (use the O=O bond enthalpy, not two O–O). N2 has 1 N≡N triple bond. Count each bond type separately and multiply by its bond enthalpy, then add them up. Double and triple bonds have their own single listed values.

⚠️ The NEET trap
Using products − reactants for bond enthalpy (copying the formation-enthalpy order), or forgetting to break the diatomic X₂/Y₂ into moles, giving a wrong sign or wrong magnitude.
For bond enthalpy always do BONDS BROKEN (reactants) − BONDS FORMED (products). Break ½X₂ and ½Y₂, form 1 XY: ΔH = (½·BDE_X₂ + ½·BDE_Y₂) − BDE_XY. Keep signs: broken = +, formed = −.
🧠 Formation enthalpy = products − reactants. Bond enthalpy = broken − formed. Opposite orders — never swap them.

Real NEET questions

NEET 2018

The bond dissociation energies of X₂, Y₂ and XY are in the ratio of 1 : 0.5 : 1. ΔH for the formation of XY is −200 kJ mol⁻¹. The bond dissociation energy of X₂ will be:

A · 800 kJ mol⁻¹
B · 100 kJ mol⁻¹
C · 200 kJ mol⁻¹
D · 400 kJ mol⁻¹
Solution: Formation reaction: ½X₂ + ½Y₂ → XY. Let BDE(X₂) = x. Given ratio 1 : 0.5 : 1, so BDE(Y₂) = 0.5x and BDE(XY) = x. Use ΔH = (bonds broken) − (bonds formed). Bonds broken: ½x (from ½X₂) + ½(0.5x) (from ½Y₂). Bond formed: x (one XY). So ΔH_f = [½x + ¼x] − x = −¼x. Set −¼x = −200 → x = 800 kJ mol⁻¹. Answer: A.

Solved Thermodynamics NEET PYQs

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

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Frequently asked

What is the bond enthalpy formula for enthalpy of reaction?

ΔH = Σ(bond enthalpies of bonds broken) − Σ(bond enthalpies of bonds formed). Add all reactant-side bonds you break, subtract all product-side bonds you make.

Why do we add bonds broken and subtract bonds formed?

Breaking a bond absorbs energy (endothermic, +), so it adds to ΔH. Forming a bond releases energy (exothermic, −), so it lowers ΔH. That gives net ΔH = broken − formed.

Does the bond enthalpy method need all gases?

Yes. Bond enthalpies are defined for the gas phase, so every reactant and product must be gaseous for this method to be valid. If a species is liquid or solid, you cannot use bond enthalpies directly.

Why does the bond enthalpy answer differ from the real ΔH?

Because tables give AVERAGE bond enthalpies. The same bond type has slightly different strengths in different molecules, so the calculated ΔH is only approximate.

How is this tested in NEET?

NEET gives you bond dissociation energies (or their ratios) and asks for ΔH, or the reverse: gives ΔH and asks for one unknown bond energy, as in NEET 2018. Master ΔH = broken − formed and you can solve both directions.