Enthalpies Various

8 MCQs1 revision card9-step worked example
Source: NCERT ThermodynamicsPYQ coverage: NEET 2021, 2022, 2023, 2024, 2025Official key: NTA-verifiedLast reviewed: May 2026

Lesson

This topic is about the different types of standard enthalpy changes — formation, combustion, dissociation, atomisation, sublimation, ionisation, electron gain, solution, and hydration — not the Hess's law arithmetic of combining them. The NEET trap here is definitional precision: confusing the conditions under which each enthalpy type is defined, and misapplying the "per mole" convention.

Standard enthalpy of formation (Δ_f H°) is the enthalpy change when one mole of a compound is formed from its elements in their standard states at 1 bar and 298 K (NCERT Class 11 Chemistry Chapter 5, page 16). The critical clause: elements must be in their most stable allotropic form. So Δ_f H° uses O₂(g), not O(g); C(graphite), not C(diamond). By convention, Δ_f H° of any element in its standard state is zero.

Standard enthalpy of combustion (Δ_c H°) is the enthalpy change when one mole of a substance undergoes complete combustion in excess oxygen under standard conditions. "Complete" means carbon → CO₂, hydrogen → H₂O(l). Writing H₂O(g) instead of H₂O(l) is a common error that changes the numerical value by the enthalpy of vaporisation.

Bond dissociation enthalpy (Δ_bond H°) is the energy required to break one mole of a specific bond in a gaseous molecule homolytically. It is always positive (endothermic). For polyatomic molecules like H₂O, the first O–H bond dissociation enthalpy differs from the second; the "bond enthalpy" quoted in tables is the average.

Other standard enthalpies — atomisation (one mole of gaseous atoms from any phase), sublimation (solid → gas, one mole), ionisation enthalpy (removal of electron from gaseous atom), electron gain enthalpy (addition of electron to gaseous atom), and lattice enthalpy (separation of ionic solid into gaseous ions) — each have strict "per mole" and "phase" requirements. Mixing up the required phases (e.g., starting from liquid instead of solid for sublimation) directly produces wrong numerical answers.

The master formula linking these types is the standard enthalpy of reaction from formation enthalpies:

Δ_rxn H° = Σ Δ_f H°(products) − Σ Δ_f H°(reactants)

This is the workhorse equation for computing reaction enthalpies from tabulated data.


Practice MCQs

Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.

MCQ 1Easy RecallPractice

The standard enthalpy of formation of an element in its most stable allotropic form at 298 K and 1 bar is:

MCQ 2Easy RecallPractice

Which of the following correctly defines the standard enthalpy of combustion?

MCQ 3Direct ApplicationPractice

The bond dissociation enthalpy of the first O–H bond in H₂O(g) is 502 kJ/mol, and that of the second O–H bond is 427 kJ/mol. What is the average O–H bond enthalpy in water?

MCQ 4Direct ApplicationPractice

For the reaction: 2C(graphite) + 3H₂(g) + ½O₂(g) → C₂H₅OH(l), Δ_f H° = −277 kJ/mol. Which statement is correct?

MCQ 5Easy RecallPractice

Standard enthalpy of atomisation of Na(s) is 108.4 kJ/mol. This represents:

MCQ 6CalculationPractice

Given: Δ_f H°[CO₂(g)] = −393.5 kJ/mol, Δ_f H°[H₂O(l)] = −285.8 kJ/mol, Δ_f H°[CH₄(g)] = −74.8 kJ/mol. Calculate Δ_c H° for CH₄(g).

MCQ 7Easy RecallPractice

The enthalpy of sublimation of a substance is defined as the enthalpy change for:

MCQ 8Direct ApplicationPractice

For the reaction N₂(g) + 3H₂(g) → 2NH₃(g), Δ_f H° of NH₃(g) = −46.1 kJ/mol. What is Δ_rxn H° for this reaction?

Quick recall before you leave

Worked Example

  1. 1

    Given

    - Δ_f H°[C₂H₄(g)] = +52.3 kJ/mol - Δ_f H°[CO₂(g)] = −393.5 kJ/mol - Δ_f H°[H₂O(l)] = −285.8 kJ/mol

  2. 2

    Required

    Standard enthalpy of combustion of C₂H₄(g), i.e., Δ_c H°.

  3. 3

    Concept

    Combustion means complete reaction with O₂: all carbon → CO₂(g), all hydrogen → H₂O(l). Δ_rxn H° is computed from standard formation enthalpies using Hess's law in its formation-enthalpy form.

  4. 4

    Formula

    Δ_rxn H° = Σ Δ_f H°(products) − Σ Δ_f H°(reactants)

  5. 5

    Balanced equation and substitution

    C₂H₄(g) + 3O₂(g) → 2CO₂(g) + 2H₂O(l) Δ_c H° = [2 × Δ_f H°(CO₂) + 2 × Δ_f H°(H₂O)] − [Δ_f H°(C₂H₄) + 3 × Δ_f H°(O₂)] Δ_f H°[O₂(g)] = 0 (element in standard state) Δ_c H° = [2(−393.5) + 2(−285.8)] − [52.3 + 0]

  6. 6

    Calculation

    Products: 2(−393.5) + 2(−285.8) = −787.0 + (−571.6) = −1358.6 kJ Reactants: 52.3 + 0 = 52.3 kJ Δ_c H° = −1358.6 − 52.3 = −1410.9 kJ/mol **Note on exact values:** The stoichiometric coefficients (2, 3) are exact counting numbers and do not affect significant-figure count. The result is reported to one decimal place, consistent with the given data.

  7. 7

    Final answer

    **Δ_c H° of C₂H₄(g) = −1410.9 kJ/mol** The negative sign confirms the reaction is exothermic, as expected for combustion.

  8. 8

    Common trap

    Using H₂O(g) instead of H₂O(l) for combustion enthalpy calculations. The standard enthalpy of combustion convention requires liquid water as the product. Using the gaseous-phase formation enthalpy of water (−241.8 kJ/mol instead of −285.8 kJ/mol) gives a numerically smaller magnitude answer, which is a common wrong option in NEET.

  9. 9

    Similar NEET-style question

    Calculate the standard enthalpy of combustion of C₂H₆(g) given: Δ_f H°[C₂H₆(g)] = −84.7 kJ/mol, Δ_f H°[CO₂(g)] = −393.5 kJ/mol, Δ_f H°[H₂O(l)] = −285.8 kJ/mol. *(Balanced equation: C₂H₆ + 7/2 O₂ → 2CO₂ + 3H₂O; answer: −1559.7 kJ/mol.)* ---

Before solving, remember these

ΔH_f° = enthalpy change when 1 mole of compound forms from its elements in standard states (1 bar, 298 K). ΔH°_reaction = ΣΔH_f°(products) - ΣΔH_f°(reactants).

-- NCERT Class 11 Chemistry, Ch. 5, p. 16

Formulas

Enthalpy and ΔH at constant P

Enthalpy = internal energy + PV. At constant pressure, heat absorbed equals enthalpy change.

SymbolQuantitySI Unit
HenthalpyJ
Uinternal energyJ
PpressurePa
Vvolumem^3

Valid when

  • At constant pressure
  • Closed system

First law of thermodynamics (chemistry)

Internal energy change = heat added to system + work done ON system. Note: chemistry uses w as work done ON system; physics uses w as work done BY.

SymbolQuantitySI Unit
ΔUinternal energy changeJ
qheatJ
wwork on systemJ

Valid when

  • Closed system
  • Sign convention chosen consistently

Gibbs free energy

Spontaneity criterion. ΔG<0: spontaneous. ΔG=0: equilibrium. ΔG>0: non-spontaneous.

SymbolQuantitySI Unit
ΔGGibbs energy changekJ
ΔHenthalpykJ
ΔSentropykJ/K
TtemperatureK

Valid when

  • Constant T and P

ΔG° and K

Standard free energy change relates to equilibrium constant. K>1: ΔG°<0; K<1: ΔG°>0.

SymbolQuantitySI Unit
ΔG°standard free energyJ/mol
Rgas constant 8.314J/mol/K
TtempK
Kequilibrium constant-

Valid when

  • Standard state
  • Equilibrium

Hess's law

Total enthalpy change is independent of path. Useful for computing ΔH of reactions not directly measurable.

SymbolQuantitySI Unit
ΔHenthalpy changeJ or kJ

Valid when

  • State function (path-independent)
  • Same initial/final states

Standard enthalpy of reaction

From standard formation enthalpies. ΔH°_f of element in standard state = 0.

SymbolQuantitySI Unit
ΔH°_fstandard formation enthalpykJ/mol

Valid when

  • Standard state (1 bar, 298 K)
  • Stoichiometric coefficients applied

Exam Traps & Common Mistakes

These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.

Category: Sign Convention

When reversing a reaction, ΔH changes sign. Multiply: same as multiply ΔH.

When it triggers

Hess's law problem with combination of multiple reactions.

How to avoid

If reaction is reversed: ΔH → -ΔH. If multiplied by factor n: ΔH → n×ΔH. Apply systematically when combining.

Past Year Questions

8 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.

NEET 2025

Phosphoric acid ionizes in three steps with their ionization constant values - 35 - K a 1 , K a 2 a n d K a 3 , respectively, while K is the overall ionization constant. Which of the following statements are true? A. lo g K = lo g K a1 + lo g K a 2 + lo g K a 3 B. H PO is a stronger acid than 3 4 H 2 P O −4 and H P O 24 − C. K a1 > K a 2 > K a 3 D. K a 1 = K a 3 + 2 K a 2 Choose the correct answer from the options given below :

1A, B and C only
2A and B only
3A and C only
4B, C and D only
NTA Answer: Option 1(final)
NEET 2022

The given graph is a representation of kinetics of a reaction. The y and x axes for zero and first order reactions, respectively are

1zero order (y = rate and x = concentration), first order (y = rate and x = t ) ½
2zero order (y = concentration and x = time), first order (y = t and x = concentration) ½
3zero order (y = concentration and x = time), first order (y = rate constant and x = concentration)
4zero order (y = rate and x = concentration), first order (y = t and x = concentration) ½
NTA Answer: Option 4(final)

How NEET usually asks this

Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.

Sources

NCERT refs: Class 11 Chemistry Chapter 5, p.16

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