The lattice energy of MX is .
Further explanation:
Lattice energy:
It is defined as the energy released when an ionic compound is formed from its constituent ions or when the compound gets dissociated into its gaseous ions. It is denoted as .
Born Haber cycle:
The reaction energies are evaluated by this cycle. It is used to calculate the lattice energy that is difficult to measure directly. The various steps involved in the Born Haber cycle of an ionic compound, MX are as follows:
1. Sublimation of solid metal (M) to the gaseous state. The reaction occurs as follows:
2. Bond breakage of diatomic halogen molecule . The reaction occurs as follows:
3. Ionization of metal into positive ions. The reaction occurs as follows:
4. Electron affinity of halogen atom to form negative ions. The reaction occurs as follows:
5. Formation of an ionic compound, MX. The reaction occurs as follows:
The formula to calculate the enthalpy of formation of MX is as follows:
......(1)
Rearrange equation (1) to calculate .
......(2)
The value of is -423 kJ/mol.
The value of is 119 kJ/mol.
The value of IE is 469 kJ/mol.
The value of BE is 161 kJ/mol.
The value of EA is -301 kJ/mol.
Substitute these values in equation (2).
Learn more:
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Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Thermodynamics
Keywords: -871 kJ/mol, lattice energy, Born Haber cycle, 119 kJ/mol, -423 kJ/mol, 469 kJ/mol, 161 kJ/mol, -301 kJ/mol, IE, EA, BE.