5. Use the Born-Haber cycle to calculate the lattice energy of KCI. Useful information: qr of KCI = -436.5 kJ/mol, IE1(K) = 419kJ/mol, qsub(K) = 89.0kJ/mol, Cl₂(g) bond dissociation energy = 243 kJ/mol, EA(CI) = -349 kJ/mol Potassium chloride is soluble in water. What must be true about the solvation energy of KCI in comparison to the lattice energy calculated above?

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Question 5
### Born-Haber Cycle and Lattice Energy Calculation for KCl

**Problem Statement:**
Use the Born-Haber cycle to calculate the lattice energy of KCl.

**Useful Information:**
- \( q_r \) of KCl = -436.5 kJ/mol
- Ionization Energy of Potassium (\( \text{IE1(K)} \)) = 419 kJ/mol
- Sublimation Energy of Potassium (\( q_{\text{sub}}(K) \)) = 89.0 kJ/mol
- \( \text{Cl}_2(g) \) Bond Dissociation Energy = 243 kJ/mol
- Electron Affinity of Chlorine (\( \text{EA(Cl)} \)) = -349 kJ/mol

**Additional Question:**
Potassium chloride is soluble in water. What must be true about the solvation energy of KCl in comparison to the lattice energy calculated above?

---

**Detailed Explanation:**
The Born-Haber cycle is a thermochemical cycle that relates the lattice energy of an ionic solid to enthalpy changes associated with the formation of the compound from its elements. By using the given data, one can determine the lattice energy, which is the energy required to separate one mole of the solid ionic compound into its gaseous ions.

In terms of solubility, the solvation energy, which is the energy released when the ions are solvated, should be greater than or similar to the lattice energy for KCl to be soluble in water.
Transcribed Image Text:### Born-Haber Cycle and Lattice Energy Calculation for KCl **Problem Statement:** Use the Born-Haber cycle to calculate the lattice energy of KCl. **Useful Information:** - \( q_r \) of KCl = -436.5 kJ/mol - Ionization Energy of Potassium (\( \text{IE1(K)} \)) = 419 kJ/mol - Sublimation Energy of Potassium (\( q_{\text{sub}}(K) \)) = 89.0 kJ/mol - \( \text{Cl}_2(g) \) Bond Dissociation Energy = 243 kJ/mol - Electron Affinity of Chlorine (\( \text{EA(Cl)} \)) = -349 kJ/mol **Additional Question:** Potassium chloride is soluble in water. What must be true about the solvation energy of KCl in comparison to the lattice energy calculated above? --- **Detailed Explanation:** The Born-Haber cycle is a thermochemical cycle that relates the lattice energy of an ionic solid to enthalpy changes associated with the formation of the compound from its elements. By using the given data, one can determine the lattice energy, which is the energy required to separate one mole of the solid ionic compound into its gaseous ions. In terms of solubility, the solvation energy, which is the energy released when the ions are solvated, should be greater than or similar to the lattice energy for KCl to be soluble in water.
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