Given the following table of bond dissociation energies (in kcal/mol), what is AH° for this reaction? (CH3);С — Н + Br -Br (CH);С — Br + Н— Br CH3-H 105 (CH3)3C-H 91 CH3-Br 70 (CH3)зС-Br 65 Br-Br 46 H-Br 88 O +7 kcal/mol -7 kcal/mol O +16 kcal/mol O -16 kcal/mol O cannot be determined with this information

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**Bond Dissociation Energies and Reaction Enthalpy Calculation**

**Reaction:**
\[
(\text{CH}_3)_3\text{C-H} + \text{Br-Br} \rightarrow (\text{CH}_3)_3\text{C-Br} + \text{H-Br}
\]

**Bond Dissociation Energies (in kcal/mol):**
- \(\text{CH}_3-\text{H}\): 105
- \((\text{CH}_3)_3\text{C-H}\): 91
- \(\text{CH}_3-\text{Br}\): 70
- \((\text{CH}_3)_3\text{C-Br}\): 65
- \(\text{Br-Br}\): 46
- \(\text{H-Br}\): 88

**Question:**
What is \(\Delta H^\circ\) for this reaction?

**Choices:**
- \(+7\) kcal/mol
- \(-7\) kcal/mol
- \(+16\) kcal/mol
- \(-16\) kcal/mol
- cannot be determined with this information

**Explanation of Calculation:**

To calculate the standard enthalpy change (\(\Delta H^\circ\)) for the reaction, we use the bond dissociation energies:

\[
\Delta H^\circ = \text{(Sum of bond energies of reactants)} - \text{(Sum of bond energies of products)}
\]

1. **Reactants:**
   - \((\text{CH}_3)_3\text{C-H}\): 91 kcal/mol
   - \(\text{Br-Br}\): 46 kcal/mol

   Total energy for breaking bonds = 91 + 46 = 137 kcal/mol

2. **Products:**
   - \((\text{CH}_3)_3\text{C-Br}\): 65 kcal/mol
   - \(\text{H-Br}\): 88 kcal/mol

   Total energy for forming bonds = 65 + 88 = 153 kcal/mol

3. **Enthalpy Change:**
   \[
   \Delta H^\circ = 137 - 153 = -16 \text{ kcal/mol}
   \]

Therefore, the correct choice is \(-16\) kcal/mol.
Transcribed Image Text:**Bond Dissociation Energies and Reaction Enthalpy Calculation** **Reaction:** \[ (\text{CH}_3)_3\text{C-H} + \text{Br-Br} \rightarrow (\text{CH}_3)_3\text{C-Br} + \text{H-Br} \] **Bond Dissociation Energies (in kcal/mol):** - \(\text{CH}_3-\text{H}\): 105 - \((\text{CH}_3)_3\text{C-H}\): 91 - \(\text{CH}_3-\text{Br}\): 70 - \((\text{CH}_3)_3\text{C-Br}\): 65 - \(\text{Br-Br}\): 46 - \(\text{H-Br}\): 88 **Question:** What is \(\Delta H^\circ\) for this reaction? **Choices:** - \(+7\) kcal/mol - \(-7\) kcal/mol - \(+16\) kcal/mol - \(-16\) kcal/mol - cannot be determined with this information **Explanation of Calculation:** To calculate the standard enthalpy change (\(\Delta H^\circ\)) for the reaction, we use the bond dissociation energies: \[ \Delta H^\circ = \text{(Sum of bond energies of reactants)} - \text{(Sum of bond energies of products)} \] 1. **Reactants:** - \((\text{CH}_3)_3\text{C-H}\): 91 kcal/mol - \(\text{Br-Br}\): 46 kcal/mol Total energy for breaking bonds = 91 + 46 = 137 kcal/mol 2. **Products:** - \((\text{CH}_3)_3\text{C-Br}\): 65 kcal/mol - \(\text{H-Br}\): 88 kcal/mol Total energy for forming bonds = 65 + 88 = 153 kcal/mol 3. **Enthalpy Change:** \[ \Delta H^\circ = 137 - 153 = -16 \text{ kcal/mol} \] Therefore, the correct choice is \(-16\) kcal/mol.
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