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Chemistry · Ch 6 — Thermodynamics

Enthalpy Changes during Phase Transformations

6.4(b)

Enthalpy Changes during Phase Transformations

Enthalpy Changes during Phase Transformations

Phase transformations involve energy changes. When ice melts, heat is absorbed. This melting occurs at constant pressure (atmospheric pressure) and during the phase change, temperature remains constant at 273 K.

H2O(s)→H2O(l);ΔfusH∘=6.00 kJ mol−1\text{H}_2\text{O}(s) \rightarrow \text{H}_2\text{O}(l); \quad \Delta_{\text{fus}}H^\circ = 6.00\ \text{kJ mol}^{-1}

Here ΔfusH∘\Delta_{\text{fus}}H^\circ is the standard enthalpy of fusion. If water freezes, the process reverses and an equal amount of heat is released to the surroundings.

Standard enthalpy of fusion

ΔfusH∘\Delta_{\text{fus}}H^\circ is the enthalpy change that accompanies melting of one mole of a solid substance in its standard state. Melting is endothermic, so all enthalpies of fusion are positive.

Water also requires heat for evaporation. At the constant temperature of its boiling point TbT_b and at constant pressure:

H2O(l)→H2O(g);ΔvapH∘=+40.79 kJ mol−1\text{H}_2\text{O}(l) \rightarrow \text{H}_2\text{O}(g); \quad \Delta_{\text{vap}}H^\circ = +40.79\ \text{kJ mol}^{-1}

ΔvapH∘\Delta_{\text{vap}}H^\circ is the standard enthalpy of vaporisation — the amount of heat required to vaporise one mole of a liquid at constant temperature and under standard pressure (1 bar).

Sublimation is the direct conversion of a solid into its vapour. Solid CO2_2 (dry ice) sublimes at 195 K with ΔsubH∘=25.2 kJ mol−1\Delta_{\text{sub}}H^\circ = 25.2\ \text{kJ mol}^{-1}. Naphthalene sublimes slowly with ΔsubH∘=73.0 kJ mol−1\Delta_{\text{sub}}H^\circ = 73.0\ \text{kJ mol}^{-1}.

Standard enthalpy of sublimation

ΔsubH∘\Delta_{\text{sub}}H^\circ is the change in enthalpy when one mole of a solid substance sublimes at constant temperature and under standard pressure (1 bar).

The magnitude of the enthalpy change depends on the strength of intermolecular interactions in the substance undergoing the phase transformation. Strong hydrogen bonds between water molecules hold them tightly in the liquid phase. For an organic liquid like acetone, the intermolecular dipole-dipole interactions are significantly weaker. Thus, less heat is required to vaporise 1 mol of acetone than to vaporise 1 mol of water. …

Table 5.1Standard Enthalpy Changes of Fusion and Vaporisation
SubstanceTfT_f/KΔfusH⊖\Delta_{fus}H^\ominus/(kJ mol−1^{-1})TbT_b/KΔvapH⊖\Delta_{vap}H^\ominus/(kJ mol−1^{-1})
N2N_263.150.7277.355.59
NH3NH_3195.405.65239.7323.35
HCl159.01.992188.016.15
CO68.06.83682.06.04
CH3COCH3CH_3COCH_3177.85.72329.429.1
CCl4CCl_4250.162.5349.6930.0
H2OH_2O273.156.01373.1540.79