Consider an ionic compound, MX,, composed of generic metal M and generic, gaseous halogen X. • The enthalpy of formation of MX, is AH; = -909 kJ/mol. • The enthalpy of sublimation of M is AHsub = 143 kJ/mol. • The first and second ionization energies of M are IE = 759 kJ/mol and IE, = 1407 kJ/mol. • The electron affinity of X is AHEA = -339 kJ/mol. (Refer to the hint). • The bond energy of X, is BE = 177 kJ/mol. Determine the lattice energy of MX,. AHjattice = kJ/mol * TOOLS x10

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**Problem Statement: Determining the Lattice Energy of an Ionic Compound**

Consider an ionic compound, MX₂, composed of a generic metal M and a generic gaseous halogen X.

1. The enthalpy of formation of MX₂ is \( \Delta H_f^\circ = -909 \, \text{kJ/mol} \).
2. The enthalpy of sublimation of M is \( \Delta H_{\text{sub}} = 143 \, \text{kJ/mol} \).
3. The first and second ionization energies of M are \( \text{IE}_1 = 759 \, \text{kJ/mol} \) and \( \text{IE}_2 = 1407 \, \text{kJ/mol} \).
4. The electron affinity of X is \( \Delta H_{\text{EA}} = -339 \, \text{kJ/mol} \). (Refer to the hint for additional considerations.)
5. The bond energy of X₂ is \( \text{BE} = 177 \, \text{kJ/mol} \).

Your task is to determine the lattice energy of MX₂.

**Calculation:**

\[ \Delta H_{\text{lattice}} = \text{(Enter your calculation here)} \, \text{kJ/mol} \]

*Note: Ensure all steps are shown in your calculation process, including any necessary assumptions or formulas used.*

**Tools:**

- Use the provided calculation box to input your numeric answer.
- Select the appropriate power of 10 if necessary when presenting your final value.
Transcribed Image Text:**Problem Statement: Determining the Lattice Energy of an Ionic Compound** Consider an ionic compound, MX₂, composed of a generic metal M and a generic gaseous halogen X. 1. The enthalpy of formation of MX₂ is \( \Delta H_f^\circ = -909 \, \text{kJ/mol} \). 2. The enthalpy of sublimation of M is \( \Delta H_{\text{sub}} = 143 \, \text{kJ/mol} \). 3. The first and second ionization energies of M are \( \text{IE}_1 = 759 \, \text{kJ/mol} \) and \( \text{IE}_2 = 1407 \, \text{kJ/mol} \). 4. The electron affinity of X is \( \Delta H_{\text{EA}} = -339 \, \text{kJ/mol} \). (Refer to the hint for additional considerations.) 5. The bond energy of X₂ is \( \text{BE} = 177 \, \text{kJ/mol} \). Your task is to determine the lattice energy of MX₂. **Calculation:** \[ \Delta H_{\text{lattice}} = \text{(Enter your calculation here)} \, \text{kJ/mol} \] *Note: Ensure all steps are shown in your calculation process, including any necessary assumptions or formulas used.* **Tools:** - Use the provided calculation box to input your numeric answer. - Select the appropriate power of 10 if necessary when presenting your final value.
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