To find the electron affinity (
E_a
ight) of chlorine using Hess's law, we start with the enthalpy change equation for the formation of an ionic compound:
extEnthalpyofformation=extLatticeenergy+extEnthalpyofatomisationofcations+extIonisationenergies−extElectronaffinity
For strontium chloride (SrCl₂), we can express this as:
extEnthalpyofformationofSrCl2=extEnthalpyoflatticeformation+extEnthalpyofatomisationofSr+2imesextIonisationenergyofSr+2imesextElectronaffinityofCl
Plugging in the known values from Table 1, we can rearrange the equation to isolate the electron affinity:
−828=−2112+164+2(548)+2Ea
Calculating the left side gives:
−828=−2112+164+1096+2Ea
−828=−852+2Ea
Now solving for 2Ea:
2Ea=−828+852
2Ea=24
Dividing by 2:
Ea=12extkJmol−1
Therefore, the electron affinity of chlorine is approximately:
Electron Affinity of Chlorine: 12 kJ mol⁻¹