Numerical answer
Use the following data (all in ): enthalpy of sublimation of Mg ; first ionisation enthalpy of Mg ; second ionisation enthalpy of Mg ; enthalpy of atomisation of (per mole of Cl atoms) ; electron gain enthalpy of Cl ; . The hypothetical compound (rock-salt type) is estimated to have a lattice enthalpy of . The magnitude of the enthalpy change of the reaction is ______ per mole of formed. Give the answer correct to two decimal places.
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Answer: 451.10
Build the Born-Haber cycle for hypothetical : . Substituting, , so MgCl is stable with respect to its elements. For the disproportionation, . The second ionisation of Mg, although it costs 1450.7 kJ, is more than repaid by the much larger lattice energy of (more highly charged ion), so disproportionation is strongly exothermic. The magnitude is .
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