1.1.4—Standard enthalpy change (ΔH⦵)

Syllabus
First assessment 2025
Objective
1.1.4
Level
SL

Standard Enthalpy from Calorimetry

Q=mcΔTandΔH=Q/nQ = mcΔT and ΔH = −Q/n

At constant pressure, calculate heat transferred from mass, specific heat capacity, and temperature change, then divide by reacting moles and apply the sign convention. Check standard conditions and units.

Worked calculation: if 100.0 g of solution warms by 6.0 K and c=4.18Jg1K1c=4.18\,\mathrm{J\,g^{-1}\,K^{-1}}, q(solution)=mcΔT=(100.0)(4.18)(6.0)=2.51×103J=+2.51kJq(\mathrm{solution})=mc\Delta T=(100.0)(4.18)(6.0)=2.51\times10^3\,\mathrm{J}=+2.51\,\mathrm{kJ}. Therefore q(reaction)=2.51kJq(\mathrm{reaction})=-2.51\,\mathrm{kJ}. If 0.0500mol0.0500\,\mathrm{mol} of limiting reactant reacted, ΔH=2.51/0.0500=50.2kJmol1\Delta H=-2.51/0.0500=-50.2\,\mathrm{kJ\,mol^{-1}}: the negative sign means the reaction released energy. Heat loss or ignored calorimeter heat capacity usually makes the measured magnitude too small.

A standard molar enthalpy change belongs to the balanced reaction as written, with substances in their stated standard states under standard conditions. A classroom calorimetry value is an experimental estimate: report its conditions and uncertainty separately from a data-book or theoretical standard value. Heat loss to the surroundings or ignored calorimeter heat capacity commonly makes the measured magnitude too small.

Calculating Enthalpy Change

Assessment in practice

Representative question

Question 1

[Maximum number: 1]

What is the standard enthalpy change, ΔHcombustion \Delta H_{\text {combustion }}^{\ominus}, according to the data?

Amount of fuel burned =0.110 mol=0.110 \mathrm{~mol}
Mass of water =200 g=200 \mathrm{~g}
Initial temperature of water =21.0C=21.0^{\circ} \mathrm{C}
Final temperature of water =25.0C=25.0^{\circ} \mathrm{C}
Specific heat capacity of water, cw=4.18 J g1 K1c_{\mathrm{w}}=4.18 \mathrm{~J} \mathrm{~g}^{-1} \mathrm{~K}^{-1}Q=mcΔTQ=m c \Delta T

A

2110 kJ mol1-2110 \mathrm{~kJ} \mathrm{~mol}^{-1}

B

30.4 kJ mol1-30.4 \mathrm{~kJ} \mathrm{~mol}^{-1}

C

+30.4 kJ mol1+30.4 \mathrm{~kJ} \mathrm{~mol}^{-1}

D

+2110 kJ mol1+2110 \mathrm{~kJ} \mathrm{~mol}^{-1}

Measuring Enthalpy Summary

Retrieve the route: define system/surroundings transfer, classify endothermic or exothermic, read stability from energy profiles, then calculate Q and ΔH with the correct sign.

Check the energy direction, surroundings temperature, reactant/product levels, moles, units, and ΔH sign.