Enthalpy Changes
Quick Notes
- Enthalpy Change (ΔH) is heat change at constant pressure.
- Exothermic: ΔH is negative and energy released (e.g. combustion).
- Endothermic: ΔH is positive and energy absorbed (e.g. bond breaking).
- Enthalpy Level Diagrams show energy level of reactants vs products:
- Exothermic: products lower than reactants.
- Endothermic: products higher than reactants.
- Activation Energy (Ea): minimum energy needed for a reaction to occur. Appears as a ‘hump’ in energy profile diagrams.
- Standard conditions: 100 kPa, 298 K, substances in standard states.
- Standard Enthalpy Changes:
- Standard Enthalpy of Reaction, ΔrH:
Enthalpy change when reactants react in the molar quantities given in the reaction equation. - Standard Enthalpy of Formation, ΔfH:
Enthalpy change of formation (1 mol compound from elements). - Standard Enthalpy of Combustion, ΔcH:
Enthalpy change of combustion (1 mol burned completely in O2). - Standard Enthalpy of Neutralisation,ΔneutH:
Enthalpy change of neutralisation (1 mol water formed).
- Standard Enthalpy of Reaction, ΔrH:
- Formulas for calculations:
- q = mcΔT
- q = energy (J), m = mass (g), c = specific heat capacity (4.18 J g⁻¹ K⁻¹), ΔT = temp change (K).
- ΔH = q / n
- where n = moles of the limiting reactant.
Full Notes
Enthalpy change (ΔH) is the heat change during a chemical reaction at constant pressure.
Exothermic reactions release heat (ΔH is negative).
For Example: Combustion of fuels.
Endothermic reactions absorb heat (ΔH is positive).
For Example: Thermal decomposition reactions.
Enthalpy Level Diagrams
Enthalpy level diagrams shows the enthalpies of reactants and products for a given reaction:
Exothermic: products lie below reactants.
Endothermic: products lie above reactants.
The vertical difference = ΔH.
Note: These diagrams do not show activation energy, only the net enthalpy change. Reaction profile diagrams show activation energy.
Activation Energy (Ea)
Activation energy (Ea) is the minimum amount of energy required to initiate a reaction.
On an reaction profile diagram, it’s the energy ‘hump’ between reactants and the highest energy reached in the reaction.
Standard Enthalpy Terms
Standard conditions: 100 kPa, 298 K, and standard states.
All ΔH values refer to 1 mole.
- Enthalpy of Reaction (ΔHr):
Enthalpy change when a reaction occurs in molar quantities as shown in a balanced equation.
Example: H2 + ½ O2 → H2O, ΔHr = −286 kJ mol⁻¹ - Enthalpy of Formation (ΔHf):
Enthalpy change when 1 mole of a compound is formed from its elements in standard states.
Example: C(s) + 2H2(g) → CH4(g), ΔHf = −75 kJ mol⁻¹ - Enthalpy of Combustion (ΔHc):
Enthalpy change when 1 mole of a substance is completely burned in oxygen.
Example: CH4 + 2O2 → CO2 + 2H2O, ΔHc = −890 kJ mol⁻¹ - Enthalpy of Neutralisation (ΔHneut):
Enthalpy change when acid and alkali form 1 mole of water.
Example: HCl + NaOH → NaCl + H2O, ΔHneut = −57 kJ mol⁻¹
Calculating Enthalpy Changes from Experiments
Calorimetry is an experimental technique used to measure enthalpy changes.
The key equation is:
q = mcΔT
where:
q = heat energy change (J)
m = mass of substance heated (g)
c = specific heat capacity (J g⁻¹ K⁻¹) (for water, c = 4.18 J g⁻¹ K⁻¹)
ΔT = temperature change (K)
The enthalpy change per mole of reactant can now be calculated using:
ΔH = -q / n
where n = moles of the limiting reactant.
Remember the m in q = mcΔT refers to the mass of surroundings, not the mass of reactants used. You need the mass of reactants only to find moles (n) for ΔH.
Ethanol (C2H5OH) burns in oxygen:
C2H5OH + 3O2 → 2CO2 + 3H2O
- A student burns 0.5 g of ethanol and heats 100 g of water by 20°C.
- Calculate q:
q = mcΔT = 100 × 4.18 × 20 = 8360 J = 8.36 kJ - Find moles of ethanol burned:
Molar mass = 46 g mol⁻¹
Moles = 0.5 ÷ 46 = 0.01087 mol - Calculate ΔHc:
ΔH = q ÷ n = 8.36 ÷ 0.01087 = −769 kJ mol⁻¹
Final Answer: ΔHc = −769 kJ mol⁻¹ (exothermic)
Summary
- ΔH is the heat change at constant pressure.
- Exothermic = ΔH negative, Endothermic = ΔH positive.
- Activation energy is the minimum energy required for reaction.
- Standard enthalpy definitions apply under 298 K and 100 kPa.
- Calorimetry and q = mcΔT are used for experimental ΔH calculations.