The reactivity of alcohols with Lucas reagent follows the order:
Tertiary ($ \text{3}^\circ $) > Secondary ($ \text{2}^\circ $) > Primary ($ \text{1}^\circ $)
This order of reactivity is due to the stability of the carbocation intermediate formed during the reaction. The mechanism involves the protonation of the alcohol by $ \text{HCl} $, followed by the loss of water to form a carbocation, which then reacts rapidly with the chloride ion. Tertiary carbocations are the most stable due to hyperconjugation and inductive effects from three alkyl groups, leading to the fastest reaction. Secondary carbocations are less stable, and primary carbocations are the least stable, often requiring heat or a longer time to react.
Analyzing the Given Alcohols:
(1) $ \text{CH}_3 - \text{CH}_2 - \text{CH}_2 - \text{CH}_2\text{OH} $: This is a primary alcohol (the carbon bearing the $ -\text{OH} $ group is attached to only one other carbon). Primary alcohols generally do not react or react very slowly with Lucas reagent at room temperature; no turbidity will be observed immediately.
(2) $ \text{CH}_3 - \text{CH}_2 - \underset{\underset{\text{CH}_3}{|}}{\text{CH}} - \text{OH} $: This is a secondary alcohol (the carbon bearing the $ -\text{OH} $ group is attached to two other carbons). Secondary alcohols react with Lucas reagent to form turbidity within 5 to 10 minutes.
(3) $ \text{CH}_3 - \underset{\underset{\text{CH}_3}{|}}{\text{CH}} - \text{CH}_2\text{OH} $: This is also a primary alcohol (the carbon bearing the $ -\text{OH} $ group is attached to only one other carbon). Similar to (1), it will not react instantaneously with Lucas reagent at room temperature.
(4) $ \underset{\underset{\text{CH}_3}{|}}{\overset{\overset{\text{CH}_3}{|}}{\text{CH}_3 - \text{C} - \text{OH}}} $: This is a tertiary alcohol (the carbon bearing the $ -\text{OH} $ group is attached to three other carbons). Tertiary alcohols react almost instantaneously with Lucas reagent to produce turbidity immediately due to the formation of a stable tertiary carbocation.
Conclusion:
The alcohol that reacts instantaneously with Lucas reagent is (4).
Final Answer:
The alcohol that reacts instantaneously with Lucas reagent is: $ \boxed{(4)} $
Step 1: Recall the Lucas Test Mechanism
The Lucas test detects tertiary alcohols, which react instantly with Lucas reagent (ZnCl₂ + HCl) to form a cloudy solution.
Step 2: Analyze the Given Options
Option 1: A tertiary alcohol, reacts slowly.
Option 2: A secondary alcohol, reacts slowly.
Option 3: Another tertiary alcohol, reacts instantly.
Option 4: A primary alcohol, shows no immediate reaction.
Step 3: Conclusion
The tertiary alcohol in Option 4 reacts instantly with Lucas reagent.
Alcohols undergo a number of reactions involving the cleavage of C – OH bond. However, phenols do not undergo reactions involving the cleavage of C – OH bond. Alcohols are weaker acids than water. Alcohols react with halogen acids to form the corresponding haloaklanes. Phenols are stronger acids than alcohols. A charac- teristic feature of phenols is that they undergo electrophilic substitution reactions such as halogenation, nitration, etc. Since –OH group is a strong activating group, phenol gives trisubstituted products during halogenation, nitration, etc.
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :