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
Electron Affinity
When an element undergoes a chemical reaction, it either gains energy or loses energy. This gain or loss of energy is due to the phenomena that occur at atomic level. During reaction, atoms either gain electrons from other atoms or lose electrons to other atoms, and in that process, energy is produced.
P-Block Elements
Elements which are present on the right side of the periodic table are called p-block elements. In addition to the noble gases, they include the families of boron, mercury, nitrogen, oxygen and fluorine. These elements have diverse real-life implementations that we regularly experience around us.
Metals and Non-metals
The periodic table is composed of metals, semi-metals and nonmetal elements. The physical and chemical properties of metals and nonmetals differ from each other. The study of metals and nonmetals will help one to understand the appropriate application of the particular element.
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c736d07-d75d-4ba3-b07b-66393d09ab70%2F6d820d7e-c5ad-4e05-b690-86b927edccfe%2F261i2x_processed.png&w=3840&q=75)

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