AP EAMCET · Chemistry · Haloalkanes and Haloarenes

The rate of reaction of \(t\)-butyl bromide and . \(\mathrm{NaOH}\) in water depends on the concentration of

A both \(t\)-butyl bromide and \(\mathrm{NaOH}\)
B \(\mathrm{NaOH}\)
C independent of concentration
D \(t\)-butyl bromide

Verified Solution

Answer & Solution

Correct Answer

(D) \(t\)-butyl bromide

Step-by-step Solution

Detailed explanation

Hydrolysis of \(t\)-butyl bromide with aqueous \(\mathrm{NaOH}\) is an example of \(\mathrm{S}_{\mathrm{N}} 1\) reaction. The formation of carbocation is the slow step and therefore rate determining step. The rate of the reaction depends only on concentration of tertiary butyl…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Quadratic expression	The minimum value
(i) \(x^2-8 x+15\)	(a) \(\quad \frac{7}{2}\)
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