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Ch. 9 - Alkenes II: Oxidation and Reduction
Mullins - Organic Chemistry: A Learner Centered Approach 1st Edition
Mullins1st EditionOrganic Chemistry: A Learner Centered ApproachISBN: 9780137566471Not the one you use?Change textbook
Chapter 8, Problem 38a

Conjugated dienes, molecules containing two alkenes separated by one single bond, are discussed in detail in Chapter 21.
(a) Considering the observed ∆H° of hydrogenation, is hexa-1,3-diene (conjugated) or hexa-1,4-diene (unconjugated) more stable?
Comparison of hydrogenation enthalpy changes for conjugated and unconjugated dienes, showing values of -53.7 and -60.2 kcal/mol.

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1
Understand the concept of conjugation: Conjugated dienes have alternating double and single bonds, allowing for delocalization of π-electrons across the system. This delocalization provides extra stability compared to unconjugated dienes, where the double bonds are isolated and cannot interact.
Recall the relationship between stability and the heat of hydrogenation (∆H°): A lower (more negative) ∆H° of hydrogenation indicates that the molecule releases less energy upon hydrogenation, meaning it is more stable to begin with.
Compare the structures of hexa-1,3-diene and hexa-1,4-diene: Hexa-1,3-diene is a conjugated diene because the double bonds are separated by a single bond, allowing for delocalization. Hexa-1,4-diene is an unconjugated diene because the double bonds are separated by two single bonds, preventing delocalization.
Analyze the observed ∆H° of hydrogenation: The conjugated diene (hexa-1,3-diene) will have a less negative ∆H° of hydrogenation compared to the unconjugated diene (hexa-1,4-diene) due to the additional stability provided by conjugation.
Conclude based on the ∆H° values: Hexa-1,3-diene (conjugated) is more stable than hexa-1,4-diene (unconjugated) because conjugation lowers the energy of the molecule, as evidenced by the less negative ∆H° of hydrogenation.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Conjugated vs. Unconjugated Dienes

Conjugated dienes have alternating double and single bonds, allowing for resonance stabilization, while unconjugated dienes have isolated double bonds. This resonance in conjugated systems leads to lower energy states and increased stability compared to their unconjugated counterparts, which lack this delocalization of electrons.
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Conjugated states

Hydrogenation and Enthalpy Change (∆H°)

Hydrogenation is the process of adding hydrogen to a compound, typically resulting in the saturation of double bonds. The enthalpy change (∆H°) during hydrogenation indicates the stability of the original compound; a lower ∆H° value suggests greater stability of the starting diene, as less energy is released when converting it to a saturated alkane.
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Calculating Enthalpies

Stability and Energy Considerations

In organic chemistry, the stability of a molecule is often inversely related to its energy content. More stable molecules have lower energy due to factors like resonance, sterics, and electronic effects. When comparing hexa-1,3-diene and hexa-1,4-diene, the one with the lower enthalpy of hydrogenation is considered more stable, as it indicates a more favorable energy state.
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The radical stability trend.