Consider an ionic compound, MX,, composed of generic metal M and generic gaseous halogen X. • The enthalpy of formation of MX, is AH; = -763 kJ/mol. • The enthalpy of sublimation of M is AHsub = 169 kJ/mol. • The first, second, and third ionization energies of M are IEj = 619 kJ/mol, IE2 = 1667 kJ/mol, and IE3 = 2525 kJ/mol. • The electron affinity of X is AHEA = -307 kJ/mol. (Refer to the hint). • The bond energy of X, is BE = 181 kJ/mol. %3D Determine the lattice energy of MX,. -3182.5 AHjattice kJ/mol Incorrect
Consider an ionic compound, MX,, composed of generic metal M and generic gaseous halogen X. • The enthalpy of formation of MX, is AH; = -763 kJ/mol. • The enthalpy of sublimation of M is AHsub = 169 kJ/mol. • The first, second, and third ionization energies of M are IEj = 619 kJ/mol, IE2 = 1667 kJ/mol, and IE3 = 2525 kJ/mol. • The electron affinity of X is AHEA = -307 kJ/mol. (Refer to the hint). • The bond energy of X, is BE = 181 kJ/mol. %3D Determine the lattice energy of MX,. -3182.5 AHjattice kJ/mol Incorrect
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![**Problem Statement:**
Consider an ionic compound, MX₃, composed of a generic metal M and a generic gaseous halogen X.
- The enthalpy of formation of MX₃ is \( \Delta H_f^\circ = -763 \, \text{kJ/mol} \).
- The enthalpy of sublimation of M is \( \Delta H_{\text{sub}} = 169 \, \text{kJ/mol} \).
- The first, second, and third ionization energies of M are \( \text{IE}_1 = 619 \, \text{kJ/mol} \), \( \text{IE}_2 = 1667 \, \text{kJ/mol} \), and \( \text{IE}_3 = 2525 \, \text{kJ/mol} \).
- The electron affinity of X is \( \Delta H_{\text{EA}} = -307 \, \text{kJ/mol} \) (Refer to the hint).
- The bond energy of X₂ is \( \text{BE} = 181 \, \text{kJ/mol} \).
Determine the lattice energy of MX₃.
\[ \Delta H_{\text{lattice}} = \text{(Incorrect Answer Given: } -3182.5 \text{ kJ/mol)} \]
**Feedback and Reaction Steps:**
1. **Sublimation of the Metal (Enthalpy of Sublimation)**:
\[
\text{M(s)} \rightarrow \text{M(g)} \quad \Delta H_{\text{sub}}
\]
2. **Dissociation of the Halogen Molecule (Bond Energy)**:
\[
\frac{3}{2} \text{X}_2(\text{g}) \rightarrow 3 \text{X(g)} \quad \frac{3}{2} \text{E}
\]
3. **Ionization of the Metal (Ionization Energy)**:
\[
\text{M(g)} \rightarrow \text{M}^{3+}(\text{g}) + 3 \text{e}^-
\]
4. **Electron Affinity of the Halogen**:
\[
3 \text{X(g)} + 3 \text{e}^- \rightarrow 3 \text{X}^-(\text{g})
\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cab08ae-8e5c-4fa2-a89b-725536e38ab3%2F5e551220-4a6e-466c-b36c-440d37fe52fd%2Fao8e6bw_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Consider an ionic compound, MX₃, composed of a generic metal M and a generic gaseous halogen X.
- The enthalpy of formation of MX₃ is \( \Delta H_f^\circ = -763 \, \text{kJ/mol} \).
- The enthalpy of sublimation of M is \( \Delta H_{\text{sub}} = 169 \, \text{kJ/mol} \).
- The first, second, and third ionization energies of M are \( \text{IE}_1 = 619 \, \text{kJ/mol} \), \( \text{IE}_2 = 1667 \, \text{kJ/mol} \), and \( \text{IE}_3 = 2525 \, \text{kJ/mol} \).
- The electron affinity of X is \( \Delta H_{\text{EA}} = -307 \, \text{kJ/mol} \) (Refer to the hint).
- The bond energy of X₂ is \( \text{BE} = 181 \, \text{kJ/mol} \).
Determine the lattice energy of MX₃.
\[ \Delta H_{\text{lattice}} = \text{(Incorrect Answer Given: } -3182.5 \text{ kJ/mol)} \]
**Feedback and Reaction Steps:**
1. **Sublimation of the Metal (Enthalpy of Sublimation)**:
\[
\text{M(s)} \rightarrow \text{M(g)} \quad \Delta H_{\text{sub}}
\]
2. **Dissociation of the Halogen Molecule (Bond Energy)**:
\[
\frac{3}{2} \text{X}_2(\text{g}) \rightarrow 3 \text{X(g)} \quad \frac{3}{2} \text{E}
\]
3. **Ionization of the Metal (Ionization Energy)**:
\[
\text{M(g)} \rightarrow \text{M}^{3+}(\text{g}) + 3 \text{e}^-
\]
4. **Electron Affinity of the Halogen**:
\[
3 \text{X(g)} + 3 \text{e}^- \rightarrow 3 \text{X}^-(\text{g})
\
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