Which of the following is the weakest Bronsted base? 

The correct answer is option 1.

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Let us look at each of the structures:

1. Aniline has a benzene ring attached to the amino group. The benzene ring exhibits resonance, which delocalizes the lone pair of electrons on the nitrogen atom. This delocalization reduces the availability of the lone pair for protonation, making it less likely to accept a proton and thus a weaker Bronsted base.

2. Piperidine  has a simpler structure with a cyclohexane ring containing a nitrogen atom. While the nitrogen atom in piperidine can donate its lone pair, it lacks the resonance effects seen in aniline. As a result, piperidine is a stronger base than aniline but still weaker than other options.

3. Cyclohexanamine is structurally similar to piperidine, containing a cyclohexane ring with a nitrogen atom. Like piperidine, it lacks significant electron-withdrawing groups that would reduce its basicity. Therefore, it is also stronger than aniline but weaker than methylamine.

4. Methylamine has no substituents attached to the nitrogen atom. This means that the lone pair of electrons on the nitrogen is readily available for protonation, making methylamine the strongest base among the options provided.

In summary, the presence of an electron-withdrawing benzene ring in aniline reduces its basicity compared to the other compounds, making it the weakest Bronsted base among the given options.