--- **Chemical Reaction and Thermodynamics** Consider the following reaction: \[ \text{Na(s)} + \frac{1}{2} \text{Br}_2(\text{g}) \rightarrow \text{NaBr(s)} \quad \Delta H = -367 \, \text{kJ/mol} \] Given Data: - Lattice energy of \(\text{NaBr(s)} = -742 \, \text{kJ/mol}\) - Ionization energy of \(\text{Na(g)} = 495 \, \text{kJ/mol}\) - Bond energy of \(\text{Br}_2(\text{g)} = 193 \, \text{kJ/mol}\) - Electron affinity of \(\text{Br(g)} = -325 \, \text{kJ/mol}\) **Objective:** Use these data to determine the heat of sublimation of \(\text{Na(s)}\). \[ \Delta H_{\text{sub}} = \underline{\qquad\qquad} \, \text{kJ} \] --- *Note:* The problem requires the application of Hess's Law or a Born-Haber cycle to solve for the sublimation enthalpy \(\Delta H_{\text{sub}}\) of sodium (\(\text{Na}\)).

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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---

**Chemical Reaction and Thermodynamics**

Consider the following reaction:

\[ \text{Na(s)} + \frac{1}{2} \text{Br}_2(\text{g}) \rightarrow \text{NaBr(s)} \quad \Delta H = -367 \, \text{kJ/mol} \]

Given Data:
- Lattice energy of \(\text{NaBr(s)} = -742 \, \text{kJ/mol}\)
- Ionization energy of \(\text{Na(g)} = 495 \, \text{kJ/mol}\)
- Bond energy of \(\text{Br}_2(\text{g)} = 193 \, \text{kJ/mol}\)
- Electron affinity of \(\text{Br(g)} = -325 \, \text{kJ/mol}\)

**Objective:**

Use these data to determine the heat of sublimation of \(\text{Na(s)}\).

\[
\Delta H_{\text{sub}} = \underline{\qquad\qquad} \, \text{kJ}
\]

---

*Note:* The problem requires the application of Hess's Law or a Born-Haber cycle to solve for the sublimation enthalpy \(\Delta H_{\text{sub}}\) of sodium (\(\text{Na}\)).
Transcribed Image Text:--- **Chemical Reaction and Thermodynamics** Consider the following reaction: \[ \text{Na(s)} + \frac{1}{2} \text{Br}_2(\text{g}) \rightarrow \text{NaBr(s)} \quad \Delta H = -367 \, \text{kJ/mol} \] Given Data: - Lattice energy of \(\text{NaBr(s)} = -742 \, \text{kJ/mol}\) - Ionization energy of \(\text{Na(g)} = 495 \, \text{kJ/mol}\) - Bond energy of \(\text{Br}_2(\text{g)} = 193 \, \text{kJ/mol}\) - Electron affinity of \(\text{Br(g)} = -325 \, \text{kJ/mol}\) **Objective:** Use these data to determine the heat of sublimation of \(\text{Na(s)}\). \[ \Delta H_{\text{sub}} = \underline{\qquad\qquad} \, \text{kJ} \] --- *Note:* The problem requires the application of Hess's Law or a Born-Haber cycle to solve for the sublimation enthalpy \(\Delta H_{\text{sub}}\) of sodium (\(\text{Na}\)).
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