Chapter 14: Problem 43
The heat of hydrogenation of \(1,3,5,7-\) cyclooctatetraene (COT) is about \(101 \mathrm{kcal} / \mathrm{mol}\). The heat of hydrogenation of cyclooctene is about \(23 \mathrm{kcal} / \mathrm{mol}\). Is COT aromatic? Explain.
Short Answer
Expert verified
COT is not aromatic because it is less stable than expected, indicated by its higher-than-expected heat of hydrogenation.
Step by step solution
01
Determine the Expected Heat of Hydrogenation for a Non-Aromatic Compound
If cyclooctatetraene (COT) were non-aromatic, its heat of hydrogenation would be the expected sum of the heats of hydrogenation of its four double bonds. Given that the heat of hydrogenation for a single double bond in cyclooctene is approximately 23 kcal/mol, we calculate the total expected value for four double bonds as follows: \[ \text{Expected heat of hydrogenation} = 23 \text{ kcal/mol} \times 4 = 92 \text{ kcal/mol} \]
02
Compare the Actual and Expected Heat of Hydrogenation
The actual heat of hydrogenation of COT is given as 101 kcal/mol. Compare this with the expected heat of hydrogenation for a non-aromatic compound, which we calculated to be 92 kcal/mol.
03
Analyze the Difference
The actual heat of hydrogenation (101 kcal/mol) is significantly higher than the expected heat of hydrogenation (92 kcal/mol). This suggests that COT has additional destabilization, which indicates that it is not aromatic.
04
Conclude the Aromaticity
For a compound to be aromatic, it must be more stable than expected due to resonance and delocalized π-electrons. Since COT has a heat of hydrogenation higher than expected and is therefore less stable, it is not aromatic.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
heat of hydrogenation
Heat of hydrogenation is a crucial concept in organic chemistry. It measures the energy released when hydrogen is added to a compound, usually across a double bond. This energy provides insights into the stability of a molecule.
For example, when cyclooctatetraene (COT) undergoes hydrogenation, we compare the energy released to that of a similar compound without aromatic stability clues. Here, the heat of hydrogenation for COT (101 kcal/mol) is significantly higher than for a single-bonded counterpart like cyclooctene (23 kcal/mol per double bond).
By multiplying the single-bond value by four (since COT has four double bonds), we find that a non-aromatic COT would theoretically release 92 kcal/mol. Therefore, the actual heat of hydrogenation for COT being higher (101 kcal/mol), indicates other destabilizing factors in play, ruling out aromatic stability.
For example, when cyclooctatetraene (COT) undergoes hydrogenation, we compare the energy released to that of a similar compound without aromatic stability clues. Here, the heat of hydrogenation for COT (101 kcal/mol) is significantly higher than for a single-bonded counterpart like cyclooctene (23 kcal/mol per double bond).
By multiplying the single-bond value by four (since COT has four double bonds), we find that a non-aromatic COT would theoretically release 92 kcal/mol. Therefore, the actual heat of hydrogenation for COT being higher (101 kcal/mol), indicates other destabilizing factors in play, ruling out aromatic stability.
aromaticity
Aromaticity is a property that makes some organic compounds exceptionally stable due to the delocalization of π-electrons in a cyclic structure. To be aromatic:
Cyclooctatetraene (COT) fails the test of aromaticity, despite being cyclic and conjugated. The actual heat of hydrogenation being greater than expected (101 kcal/mol vs. 92 kcal/mol) suggests instability rather than the extra stability characteristic of aromatic compounds. Thus, COT does not benefit from the special stability associated with aromaticity.
- The compound must be cyclic.
- It must be fully conjugated with alternating single and double bonds.
- It must have (4n + 2) π-electrons, where n is an integer (Hückel's rule).
Cyclooctatetraene (COT) fails the test of aromaticity, despite being cyclic and conjugated. The actual heat of hydrogenation being greater than expected (101 kcal/mol vs. 92 kcal/mol) suggests instability rather than the extra stability characteristic of aromatic compounds. Thus, COT does not benefit from the special stability associated with aromaticity.
cyclooctatetraene structure
The structure of cyclooctatetraene (COT) is an eight-membered ring with alternating double and single bonds. This structure has significant implications for its stability and reactivity.
Unlike benzene, a classic aromatic compound with a flat and stable ring structure due to delocalized π-electrons, COT adopts a non-planar, tub-shaped conformation. This non-planarity means the π-electrons are not fully delocalized and cannot contribute to resonant stability effectively.
This structural detail is crucial for explaining why COT is not aromatic. The inability of the molecule to maintain a planar conformation disrupts the continuous overlap of p-orbitals required for aromatic stability.
Unlike benzene, a classic aromatic compound with a flat and stable ring structure due to delocalized π-electrons, COT adopts a non-planar, tub-shaped conformation. This non-planarity means the π-electrons are not fully delocalized and cannot contribute to resonant stability effectively.
This structural detail is crucial for explaining why COT is not aromatic. The inability of the molecule to maintain a planar conformation disrupts the continuous overlap of p-orbitals required for aromatic stability.
stability in organic compounds
Stability in organic compounds often hinges on factors like electron delocalization, conjugation, and aromaticity. Generally:
Cyclooctatetraene (COT) demonstrates how stability can vary. Initially assumed planar, its higher heat of hydrogenation reveals its actual non-planar structure minimizes overlap and stability. This case underscores the importance of structural details in predicting and understanding organic compound stability.
- More conjugated systems are more stable due to delocalized electrons.
- Aromatic systems offer additional stability over non-aromatic conjugated systems.
- Non-planar molecules might struggle to maximize electron delocalization, reducing stability.
Cyclooctatetraene (COT) demonstrates how stability can vary. Initially assumed planar, its higher heat of hydrogenation reveals its actual non-planar structure minimizes overlap and stability. This case underscores the importance of structural details in predicting and understanding organic compound stability.