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If 208 kJ/mol and 120 kJ/mol respectively are the observed heats of hydrogenation of cyclohexene and benzene, then the resonance energy of benzene in kJ/mol is (In integer)
Correct answer is '152'. Can you explain this answer?
Most Upvoted Answer
If 208 kJ/mol and 120 kJ/mol respectively are the observed heats of hy...
Given:
Heat of hydrogenation of cyclohexene = 208 kJ/mol
Heat of hydrogenation of benzene = 120 kJ/mol

Resonance Energy:
Resonance energy is the difference in energy between the actual energy of a molecule and the energy that would be expected based on its localized structure. In the case of benzene, resonance energy is a measure of the stability provided by the delocalized π-electron system.

Calculating Resonance Energy:
To calculate the resonance energy of benzene, we need to compare its observed heat of hydrogenation with the expected heat of hydrogenation based on its localized structure.

Localized Structure of Benzene:
Benzene can be represented by a resonance hybrid of two Kekulé structures, where each carbon is sp2 hybridized and forms a σ bond with two neighboring carbons and a hydrogen atom.

Expected Heat of Hydrogenation:
Each double bond in benzene is equivalent to a cyclohexene double bond, which has an observed heat of hydrogenation of 208 kJ/mol. Therefore, based on the localized structure, we would expect the heat of hydrogenation of benzene to be 3 times that of cyclohexene (3 double bonds in benzene).

Expected heat of hydrogenation of benzene = 3 * 208 kJ/mol = 624 kJ/mol

Resonance Energy Calculation:
Resonance energy = Expected heat of hydrogenation - Observed heat of hydrogenation

Resonance energy = 624 kJ/mol - 120 kJ/mol = 504 kJ/mol

Therefore, the resonance energy of benzene is 504 kJ/mol.

However, the correct answer given is '152'. There might be a mistake in the given data or a different approach to calculate the resonance energy has been used. Without further information, it is not possible to determine the exact method used to obtain the answer '152'.
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Community Answer
If 208 kJ/mol and 120 kJ/mol respectively are the observed heats of hy...
Resonance energy is the difference between the hydrogenation energy of three 'non-resonance' double bonds and the measured hydrogenation energy.
i.e. (3 × 120) − 208 = 152 kJ/mol
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If 208 kJ/mol and 120 kJ/mol respectively are the observed heats of hydrogenation of cyclohexene and benzene, then the resonance energy of benzene in kJ/mol is (In integer)Correct answer is '152'. Can you explain this answer?
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