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Q9.18:
Arrange benzene, $n$-hexane and ethyne in decreasing order of acidic behaviour. Also give reason for this behaviour.

Solution :

1. Analysis of Molecular Structures & Hybridization

The acidic character of hydrocarbons is primarily determined by the stability of the conjugate base formed after the removal of a proton ($H^+$). This stability is directly proportional to the electronegativity of the carbon atom carrying the negative charge, which is a function of the $s$-character in the hybrid orbital.

Compound Carbon Hybridization s-Character (%) Electronegativity
Ethyne ($HC \equiv CH$) $sp$ 50% Highest
Benzene ($C_6H_6$) $sp^2$ 33.3% Intermediate
$n$-Hexane ($CH_3CH_2CH_2CH_2CH_2CH_3$) $sp^3$ 25% Lowest

2. Step-by-Step Theoretical Justification

Step 1: Analyzing Ethyne ($sp$ hybridization): The carbon atoms in ethyne are $sp$ hybridized [Per VSEPR Theory and Valence Bond Theory]. The $50\% \ s$-character makes the $sp$ hybrid orbital closer to the nucleus, exerting a greater pull on the electron pair of the $C-H$ bond. Consequently, the conjugate base (acetylide ion, $HC \equiv C^-$) is relatively stable because the negative charge resides in an orbital with high $s$-character.

Step 2: Analyzing Benzene ($sp^2$ hybridization): The carbons in the benzene ring are $sp^2$ hybridized. With $33.3\% \ s$-character, the electronegativity of the carbon is lower than that of $sp$ carbon but higher than $sp^3$ carbon. Thus, the acidity of benzene is intermediate [Per Inductive Effect and Resonance Theory].

Step 3: Analyzing $n$-Hexane ($sp^3$ hybridization): The carbons in $n$-hexane are $sp^3$ hybridized. The $25\% \ s$-character results in the lowest electronegativity among the three. The conjugate base (alkyl carbanion) is highly unstable, making $n$-hexane essentially non-acidic.

3. Visual Representation of Orbital Electronegativity

sp (50% s) sp² (33% s) sp³ (25% s) Increasing Acidic Character →

4. Establishing the Sequence

Based on the principle that acidity increases with the $s$-character of the hybrid orbital involved in the $C-H$ bond [Per Electronegativity Trends], the decreasing order of acidity is:

Ethyne ($HC \equiv CH$) > Benzene ($C_6H_6$) > $n$-Hexane ($CH_3CH_2CH_2CH_2CH_2CH_3$)

Final Solution: The decreasing order of acidic behaviour is Ethyne > Benzene > $n$-Hexane. This is due to the decreasing percentage of $s$-character in the hybrid orbitals of the carbon atoms ($sp > sp^2 > sp^3$), which leads to a decrease in the electronegativity of the carbon atom and a subsequent decrease in the stability of the resulting conjugate base.


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