Find the experimental Jattice energy of aluminшn oxideusing а Bom-Haber cycle. 1n addition to data availaЫe in
your textbook, the following themюdynamic values will Ье ofuse: the second electron affinity for oxygen is779.6 kJ/nюi the suЫimation energy for Alis 330.0 kJ/nюi and the heat of fonnation of aluminшnoxide is1675.7 kJ/nюl Compare the experimental value to the calcuJated value :fromproЫem1.
2Al(s) + 3/202(9) --- Al2 O 3(s)
д Ht0 = -1675.7
2Al(s) --- 2АI(9)
2S = 2(330.0) = 660.0
2АI(9) --- 2дI3+(9)
2(IР1 + IP 2 + IРз) = 2(5.986 + 18.828 + 28.447)96.4869
= 10278.0
3/202(9) --- 30(9)
3/2BDE = 3/2(493.6) = 740.4
30(9) --- 302-(9)
-3(ЕА1 + ЕА 2) = -3(141.0 + -779.6) = 1915.8
2дI3+(9) + 302-(9) --- Al2 O 3(s) -E1at
For the themюchemical cycle:
E1at = 1675.7 + 660.0 + 10278.0 + 740.4 + 1915.8 = 15269.9 kJ/nюl
There is ~2.4% difference between the experimental and theoretical values, which is quite ассерtаЫе.