
Step 1: Understanding the Formation of P
The oxidation of iso-propylbenzene (cumene) in the presence of \( O_2 \) and acidic hydrolysis leads to the formation of phenol and acetone (P).
Step 2: Formation of Q
Reaction of P (acetone) with three equivalents of chlorine (\( Cl_2 \)) leads to the formation of trichloroacetone (Q).
Step 3: Formation of R and S
Treatment of Q with \( Ca(OH)_2 \) results in hydrolysis to form:
Step 4: Verifying the Statements
Conclusion:
The statements have been analyzed, and the correct ones are identified.
To solve the problem, we need to analyze the reaction sequence starting from iso-propylbenzene and verify the statements about compounds P, Q, R, and S.
1. Reaction of iso-propylbenzene with O2 and H3O+:
Iso-propylbenzene undergoes oxidation to form phenol and a by-product P (which is likely trichloromethylphenol or related compound).
2. Reaction of P with 3 equivalents of Cl2 to give Q:
P reacts with chlorine to form compound Q containing trichloromethyl groups (CCl3).
3. Treatment of Q with Ca(OH)2 produces R and calcium salt S:
This reaction yields compound R, which has chloroform-like structure, and S, the calcium salt of a carboxylic acid.
4. Verifying the given statements:
(A) Reaction of P with R in the presence of KOH followed by acidification gives the compound shown with a CCl3 and hydroxyl groups:
This is correct as it corresponds to the haloform reaction forming trichloromethyl derivatives.
(B) Reaction of R with O2 in presence of light gives phosgene gas (COCl2):
This is correct because R contains chloroform-like structure that can yield phosgene under these conditions.
(C) Q reacts with aqueous NaOH to produce Cl3CCH2OH and Cl3CCOO-Na+:
This is incorrect as Q is expected to form other products, not the ones stated.
(D) Heating S gives back P:
This is correct as the calcium salt S decomposes upon heating to give P.
Final Answer:
Statements (A), (B), and (D) are correct.
Given below are two statements:
Statement I: Dimethyl ether is completely soluble in water. However, diethyl ether is soluble in water to a very small extent.
Statement II: Sodium metal can be used to dry diethyl ether and not ethyl alcohol.
In the light of the given statements, choose the correct answer from the options given below:
The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is ____. 
Use: Atomic mass (in amu): H = 1, C = 12, O = 16, Br = 80
Let $ \mathbb{R} $ denote the set of all real numbers. Then the area of the region $$ \left\{ (x, y) \in \mathbb{R} \times \mathbb{R} : x > 0, y > \frac{1}{x},\ 5x - 4y - 1 > 0,\ 4x + 4y - 17 < 0 \right\} $$ is
As shown in the figures, a uniform rod $ OO' $ of length $ l $ is hinged at the point $ O $ and held in place vertically between two walls using two massless springs of the same spring constant. The springs are connected at the midpoint and at the top-end $ (O') $ of the rod, as shown in Fig. 1, and the rod is made to oscillate by a small angular displacement. The frequency of oscillation of the rod is $ f_1 $. On the other hand, if both the springs are connected at the midpoint of the rod, as shown in Fig. 2, and the rod is made to oscillate by a small angular displacement, then the frequency of oscillation is $ f_2 $. Ignoring gravity and assuming motion only in the plane of the diagram, the value of $\frac{f_1}{f_2}$ is:
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