Standard enthalpies of formation
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. 16This 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.
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
The standard enthalpy of formation of an element in its most stable allotropic form at 298 K and 1 bar is:
Which of the following correctly defines the standard enthalpy of combustion?
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?
For the reaction: 2C(graphite) + 3H₂(g) + ½O₂(g) → C₂H₅OH(l), Δ_f H° = −277 kJ/mol. Which statement is correct?
Standard enthalpy of atomisation of Na(s) is 108.4 kJ/mol. This represents:
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).
The enthalpy of sublimation of a substance is defined as the enthalpy change for:
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?
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
Required
Standard enthalpy of combustion of C₂H₄(g), i.e., Δ_c H°.
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.
Formula
Δ_rxn H° = Σ Δ_f H°(products) − Σ Δ_f H°(reactants)
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]
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.
Final answer
**Δ_c H° of C₂H₄(g) = −1410.9 kJ/mol** The negative sign confirms the reaction is exothermic, as expected for combustion.
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.
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.)* ---
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. 16Enthalpy = internal energy + PV. At constant pressure, heat absorbed equals enthalpy change.
| Symbol | Quantity | SI Unit |
|---|---|---|
| H | enthalpy | J |
| U | internal energy | J |
| P | pressure | Pa |
| V | volume | m^3 |
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.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔU | internal energy change | J |
| q | heat | J |
| w | work on system | J |
Spontaneity criterion. ΔG<0: spontaneous. ΔG=0: equilibrium. ΔG>0: non-spontaneous.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔG | Gibbs energy change | kJ |
| ΔH | enthalpy | kJ |
| ΔS | entropy | kJ/K |
| T | temperature | K |
Standard free energy change relates to equilibrium constant. K>1: ΔG°<0; K<1: ΔG°>0.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔG° | standard free energy | J/mol |
| R | gas constant 8.314 | J/mol/K |
| T | temp | K |
| K | equilibrium constant | - |
Total enthalpy change is independent of path. Useful for computing ΔH of reactions not directly measurable.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔH | enthalpy change | J or kJ |
From standard formation enthalpies. ΔH°_f of element in standard state = 0.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔH°_f | standard formation enthalpy | kJ/mol |
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.
Hess's law problem with combination of multiple reactions.
If reaction is reversed: ΔH → -ΔH. If multiplied by factor n: ΔH → n×ΔH. Apply systematically when combining.
Root cause: sign error
K > 1: ln K > 0 → ΔG° < 0 (forward favoured). K < 1: ln K < 0 → ΔG° > 0 (reverse favoured). At equilibrium K=1, ΔG°=0.
Root cause: sign error
Reversing a reaction: ΔH → -ΔH. Multiplying by n: ΔH → n·ΔH. Apply consistently before summing.
Root cause: concept gap
Spontaneity from ΔG = ΔH - TΔS. Endothermic reactions can be spontaneous if TΔS > ΔH (ice melting at room T).
8 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.
Which amongst the following molecules on polymerization produces neoprene? Cl |
Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.
wrong sign when reversing
Forgets to negate ΔH when reversing equation
ignores temperature
Uses ΔH alone for spontaneity
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