determine lattice energy given this information?
I need assistance determining the lattice energy for the compound MX2 given the following information: The enthalpy of formation of MX2 is ΔHf° = –759 kJ/mol. The enthalpy of sublimation of M is ΔHsub = 111 kJ/mol. The first and second ionization energies of M are IE1 = 687 kJ/mol and IE2 = 1374 kJ/mol. The electron affinity of X is ΔHEA = –325 kJ/mol, and the bond energy of X2 is BE = 191 kJ/mol. I have researched various tutorials and followed the steps provided, but I am still unable to arrive at the correct answer.
1 Answers
Dec 26, 2024
Use Born-Haber(-Fajans) Cycle
http://en.wikipedia.org/wiki/Born%E2%80%93Haber_cy...
M(s) + X2(g) → MX2(s) ΔHf° = -759kJ mol^-1
M(s) →ΔHsub(M)→M(g) = 111 kJ mol^-1
M(g) →ΔHIE1(M)→ M^+ + e⁻ 687 kJ mol^-1
M^+→ΔHIE2(M)→ M^2+ + e⁻ 1374 kJ mol^-1
X2 →ΔHBE(X2)→ 2X 191
X + e⁻→ΔHEA1(X)→X^- -141 kJ mol^-1
ΔHf° = U + ΔHsub(M) + IE1(M) + IE2(M) + ΔHdiss(F2) + 2× EA1(X)
-759 = U + 111 + 687 + 1374 + 191 – 2× 325
U = -759 -111 -687 -1374 -191 + 650 = -2472 kJ mol^-1
-ve sign usually dropped; should only be three sig figs
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