Final answer:
While we don't have the specific values needed to calculate BaCl₂'s lattice energy, it's understood to be proportionate to the ionic charges and inversely to the internuclear distances. Exact values require empirical data and the application of the Born-Haber cycle.
Step-by-step explanation:
To calculate the value for the lattice energy of BaCl₂, we can use the approach described by the Born-Haber cycle. Although a direct calculation with the provided information is not possible without additional data such as the enthalpy of sublimation, ionization energy, bond dissociation enthalpy, and standard enthalpy of formation, we can explain the conceptual framework for the determination of lattice energy. Lattice energy is the energy released when the constituent ions of a compound come together to form a lattice. This calculation is often complex and can involve various steps including the sublimation of the metal, the ionization of the metal atoms, and the dissociation of the halogen molecules, followed by the formation of the ionic crystal.
According to Equations 21.5.1 and 21.5.5, the lattice energies are directly proportional to the product of the charges on the ions, and inversely proportional to the internuclear distance. This means that while we cannot provide an exact numerical value for the lattice energy of BaCl₂, we understand that it will be influenced by these factors. We also know that for compounds with ions of higher charges, such as BaO and GaP, the lattice energy tends to be higher than for compounds like RbCl, which has ions with lower charges.
To obtain specific lattice energy values, empirical data is required, which may be sourced from tables or calculated using experimental data through a Born-Haber cycle analysis. However, for the purposes of this explanation, we do not have the requisite values to compute the lattice energy of BaCl₂. Hence it is important to note that different sources may provide slightly varying data, resulting in different calculated lattice energies for the same compound.