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
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
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6c5565a-787b-43d3-b23e-780453faf6da%2F11424fb3-b8ad-4b14-bb5f-1d3e641d8531%2Fhiypxkb_processed.png&w=3840&q=75)
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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