Sapling Learning macmilar learning Mapdr Consider an ionic compound, MX2, compos

Question

Sapling Learning macmilar learning Mapdr Consider an ionic compound, MX2, composed of generic metal M and generic, gaseous halogen x. The enthalpy of formation of Mx2 is AHI 845 kJ/mol. The enthalpy of sublimation of M is Hsub 151 kJ/mol. The first and second ionization energies of M are IE1- 727 kJmol and IE, 1387 kJ/mol. 2 The electron affinity of X is AHEA 327 kJ/mol. (Refer to the Hint). The bond energy of X2 is BE 187 kJ/mol. Determine the lattice energy of MX2. Number kJ mol 4H lattice AO Previous 8 Give Up & View solution 2 check Answer Next Exit

Explanation / Answer

Following the path to go from M + X2 to MX2, we have the intermediate steps:

Make the metal gaseous => +151 kJ/mol

gain energy to ionize M to M+ => +727 kJ/mol

gain energy to ioinize M+ to M2+=> +1387 kJ/mol

decrease energy of X2 bond => -187 kJ/mol

decrease energy for adding electrons to X => -327 kJ/mol

decrease energy to make lattice => -H

By summing all intermediate steps, you will get the overall enthalpy of formation:

-845 = 151 + 727 + 1387 - 187 - 327 -  H

H = 151 + 727 + 1387 -187 - 327 + 845

Rearranging:

H = 2596 kJ/mol is the lattice energy

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