The Battle of Elimination vs
Substitution
Imagine you are a bulky, powerful base like sodium tert-butoxide (tert−BuONa). You are massive, sterically hindered, and you have one primary mission: to rip protons off molecules and create double bonds through E2 elimination. You generally despise acting as a nucleophile in SN2 reactions because you are simply too big to squeeze into tight spaces.
In this problem, we are looking for a compound that, after facing the wrath of tert−BuONa, fails to decolourise bromine water.
What does this mean? Bromine water (Br2/H2O) is the classic chemical detective for unsaturation. If a molecule has a double or triple bond (a π-bond), it will react with the reddish-brown bromine, turning the solution colorless. Therefore, if a compound fails to decolourise it, the final product must be completely saturated.
Analyzing the Highly Activated Competitors
Let's look at the molecules that are practically begging to be eliminated:
Option (b): (Bromo(phenyl)methyl)cyclohexane
Here, the β-hydrogen is benzylic. It is sitting right next to a phenyl ring, making it highly acidic. When tert−BuONa approaches, it effortlessly removes this proton, creating a highly stable, conjugated alkene. This product is unsaturated and will rapidly decolourise bromine water.
Options (c) and (d): The Carbonyl Siblings
Both 2-bromocyclohexanone and 2-(bromomethyl)cyclohexanone possess a carbonyl group (C=O). The β-hydrogens available for elimination are located at the α-position relative to this carbonyl. These α-hydrogens are notoriously acidic. The bulky base will strip them away, yielding highly stable α,β-unsaturated ketones. Again, these are unsaturated products that will easily pass the bromine water test.
The Outlier
Bromocyclohexane
Now we arrive at Option (a): Bromocyclohexane.
Unlike its competitors, bromocyclohexane lacks any activating groups. There is no phenyl ring or carbonyl group to increase the acidity of its β-hydrogens. They are just standard, unactivated aliphatic hydrogens.
According to the specific pedagogical logic of this problem, this stark lack of activation means that the bulky base struggles to perform its preferred E2 elimination. Instead, it is forced into a substitution pathway, replacing the bromine atom to form tert-butyl cyclohexyl ether.
Ethers are completely saturated molecules. They possess no π-bonds. Therefore, when you add bromine water to this ether, absolutely nothing happens. The reddish-brown color remains. It has successfully failed to decolourise the bromine water.
A Note on Chemical Reality
It is important to acknowledge a slight divergence between textbook logic and laboratory reality. In a real flask, a secondary alkyl halide like bromocyclohexane would undergo significant E2 elimination when treated with a strong, bulky base like tert−BuO−, forming cyclohexene.
However, competitive exams often test relative concepts. The examiner designed this question to highlight the extreme reactivity of activated β-hydrogens (benzylic and α-carbonyl) compared to unactivated ones. By recognizing this stark contrast, we can confidently identify option (a) as the intended outlier.