To calculate the electron affinity of chlorine, we can use Hess's law. The Born-Haber cycle gives us the following equation:
ΔHf=ΔHatomization(Sr)+ΔHionization1(Sr)+ΔHionization2(Sr)+ΔHatomization(Cl)+ΔHlattice(SrCl2)+2ΔHelectronaffinity(Cl)
By rearranging the equation for electron affinity:
2ΔHelectronaffinity(Cl)=ΔHf−(ΔHatomization(Sr)+ΔHionization1(Sr)+ΔHionization2(Sr)+ΔHatomization(Cl)+ΔHlattice(SrCl2))
Plugging in the values from Table 1:
- Enthalpy of formation of strontium chloride = -828 kJ/mol
- Enthalpy of atomisation of strontium = +164 kJ/mol
- First ionisation energy of strontium = +548 kJ/mol
- Second ionisation energy of strontium = +1060 kJ/mol
- Enthalpy of atomisation of chlorine = +121 kJ/mol
- Enthalpy of lattice formation of strontium chloride = -2112 kJ/mol
Thus, substituting the values in:
2ΔHelectronaffinity(Cl)=−828−(164+548+1060+121−2112)
2ΔHelectronaffinity(Cl)=−828−(−730)
2ΔHelectronaffinity(Cl)=−828+730
2ΔHelectronaffinity(Cl)=−98
Dividing both sides by 2:
ΔHelectronaffinity(Cl)=−49kJ mol−1