Final answer:
The lattice energy of KBr(s) can be calculated using the Born-Haber cycle and the given thermochemical equations and enthalpy values. Alattice U = 76.5 + 79.4 + 375.7 + (-328.2) - (-553.5) = 756.9 kJ/mol.
Step-by-step explanation:
The lattice energy can be calculated using the Born-Haber cycle. The equation for the lattice energy is:
K(g) + Br(g) → KBr(s)
Given the thermochemical equations and enthalpy values:
- Enthalpy of formation of K(g): +89.0 kJ/mole
- Enthalpy change for K(g) → K (g) + e: +419 kJ/mole
- Enthalpy of formation of Br(g): +112 kJ/mole
- Enthalpy change for Br(g) + e → Br(g): -325 kJ/mole
- Enthalpy of formation of KBr(s): -394 kJ/mole
The lattice energy, Alattice U, can be calculated using the equation:
Alattice U = 76.5 + 79.4 + 375.7 + (-328.2) - (-553.5) = 756.9 kJ/mol.