LEVELJEE Main
Visualized Solution
The Sigma Insight: Alkanes
The Core Principle
Symmetry and Equivalence
When an alkane undergoes free radical halogenation (like chlorination in the presence of UV light), a chlorine atom can theoretically replace any hydrogen atom on the carbon skeleton. However, not all replacements lead to a unique molecule.
If two or more hydrogen atoms are in the exact same chemical environment—meaning they are structurally indistinguishable due to the symmetry of the molecule—replacing any one of them will yield the exact same product. We call these equivalent hydrogens.
Therefore, the golden rule for these types of problems is beautifully simple: The number of possible structural monochlorinated products is exactly equal to the number of distinct (non-equivalent) types of hydrogen atoms in the parent alkane.
Analyzing the Contenders
Let's put on our detective glasses and analyze the symmetry of each given isomer of hexane ().
1. 2-methylpentane
Imagine the structure: .
The two methyl groups attached to the second carbon are identical (Type a). The methine () proton is unique (Type b). The next methylene () is unique (Type c), followed by another unique methylene (Type d), and finally a unique terminal methyl group (Type e).
Because there is no plane of symmetry cutting through the middle of the chain, this molecule has 5 distinct types of hydrogens, leading to 5 different monochlorinated products.
2. 2,2-dimethylbutane
Structure: .
Look at the quaternary carbon (C2). It holds three identical methyl groups. All 9 hydrogens on these three methyls are completely equivalent (Type a). The adjacent group is unique (Type b), and the terminal is unique (Type c).
This gives us 3 distinct types of hydrogens, resulting in 3 products.
3. n-hexane
Structure: .
This straight-chain alkane has a clear plane of symmetry right down its center. The two terminal methyls mirror each other (Type a). The two adjacent groups mirror each other (Type b). The two innermost groups mirror each other (Type c).
Thus, n-hexane has 3 distinct types of hydrogens, yielding 3 products.
The Winning Isomer: 2,3-dimethylbutane
Now, let's look at 2,3-dimethylbutane: .
This molecule is a masterpiece of symmetry. It possesses a axis of symmetry and a plane of symmetry.
Notice how the left half of the molecule is a perfect mirror image of the right half. Furthermore, on each half, the two methyl groups attached to the methine carbon are identical. Because of this high degree of symmetry, all four methyl groups in the entire molecule are in the exact same chemical environment (Type a).
Similarly, the two central methine () hydrogens are perfectly identical to each other (Type b).
There are absolutely no other types of hydrogens present. We only have Type 'a' and Type 'b'.
The Final Verdict
Because 2,3-dimethylbutane possesses only 2 distinct types of non-equivalent hydrogens, it can only possibly form 2 monochlorinated compounds.
This elegant application of molecular symmetry leads us directly to the correct answer. Whenever you face a product-counting question in organic chemistry, always let symmetry be your guide!
Similar Questions
LEVELJEE Main
Which branched chain isomer of the hydrocarbon with molecular mass 72 u gives only one isomer of mono substituted alkyl halide?
(A)
Tertiary butyl chloride
(B)
Neopentane
(C)
Isohexane
(D)
Neohexane
JEE Main 2019
LEVELJEE Main
In the following skew conformation of ethane, dihedral angle is
(A)
(B)
(C)
(D)
