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Born-Haber Cycle for Calcium Chloride

The standard enthalpy of formation of calcium chloride is -795kJmol-1, the equation for the reaction is as follows:Ca(s) + Cl2(g) → CaCl2(s)The definition states that the -795kJ is the enthalpy for 1 mole of calcium chloride. The definition of the enthalpy of atomisation is for the formation of 1 mole of calcium atoms and 1 mole of chlorine atoms but we need to form 2Cl(g) so the enthalpy change for the atomisation will be 2x +121 kJ mol-1 for chlorine. The definition of the enthalpy of atomisation is for the formation of 1 mole of calcium atoms so we can use the standard enthalpy of atomisation which is +178 kJmol-1 as it is. The next step is to ionise the calcium. The equation for the first ionisation energy is:Ca(g) → Ca+(g) + e-The first ionisation energy for calcium is +590 kJ per mole. The calcium ion has a +2 charge so a second ionisation energy (+1145 kJ per mole) is needed.Ca+(g) → Ca2+(g) + e-Mass and charge are conserved for each step. We now have 2x the electron affinity for chlorine.2Cl(g) + 2e- → 2Cl-(g)The cycle is completed with the Lattice (formation) enthalpyCa2+(g) + 2Cl-(g) → CaCl2 (s)

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Specification: OCR Chemistry A (H432), A-level, 5.2.1 Lattice enthalpy. Topic: Lattice Enthalpy.

Key terms in this lesson

standard enthalpy change of formation
The enthalpy change when one mole of a compound is formed from its constituent elements in their standard states, under standard conditions.
standard enthalpy change of atomisation
The enthalpy change when one mole of gaseous atoms is formed from an element in its standard state, under standard conditions.
first ionisation energy
The enthalpy change when one electron is removed from each atom in one mole of gaseous atoms, forming one mole of gaseous 1+ ions, under standard conditions.
lattice enthalpy
The enthalpy change when one mole of an ionic compound is formed from its constituent gaseous ions, under standard conditions.

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