Step 1: Understanding the Question:
The question describes a sequence of reactions starting from a hydrocarbon P (C₄H₈). We need to deduce the structures of P, Q, R, and S based on the reaction outcomes, with a key clue being the optical activity of compound Q.
Step 2: Detailed Explanation:
Reaction 1: P (C₄H₈) + HCl → Q (C₄H₉Cl, optically active)
\begin{itemize}
\item P (C₄H₈) is an alkene. Possible isomers are But-1-ene, But-2-ene (cis/trans), and 2-Methylpropene.
\item The product Q must be optically active, meaning it must have a chiral carbon (a carbon atom attached to four different groups).
\item Let's check the addition of HCl to each isomer of P:
\begin{itemize}
\item But-1-ene (CH₃CH₂CH=CH₂) + HCl → CH₃CH₂CH(Cl)CH₃ (2-Chlorobutane, major product) and CH₃CH₂CH₂CH₂Cl (1-Chlorobutane, minor). 2-Chlorobutane is chiral at C2. So, P could be But-1-ene.
\item But-2-ene (CH₃CH=CHCH₃) + HCl → CH₃CH₂CH(Cl)CH₃ (2-Chlorobutane). This product is chiral. So, P could also be But-2-ene.
\item 2-Methylpropene ((CH₃)₂C=CH₂) + HCl → (CH₃)₃C-Cl (tert-Butyl chloride). This product has no chiral center. So P cannot be 2-Methylpropene.
\end{itemize}
\item So, P is either But-1-ene or But-2-ene, and Q is 2-Chlorobutane, CH₃CH₂CH(Cl)CH₃.
\end{itemize}
Reaction 2: Q + NH₃ → R (C₄H₁₁N)
\begin{itemize}
\item This is a nucleophilic substitution reaction (ammonolysis), where the -Cl group is replaced by an -NH₂ group.
\item Q (2-Chlorobutane) + NH₃ → R (Butan-2-amine).
\item Structure of R: CH₃CH₂CH(NH₂)CH₃.
\end{itemize}
Reaction 3: R --(diazotization)---- S
\begin{itemize}
\item Diazotization of a primary aliphatic amine (with NaNO₂/HCl or HNO₂) followed by hydrolysis converts the amine group (-NH₂) into an alcohol group (-OH).
\item R (Butan-2-amine) will form S (Butan-2-ol).
\item Structure of S: CH₃CH₂CH(OH)CH₃.
\end{itemize}
Step 3: Matching with Options:
Let's check the options with our deduced structures:
P = But-1-ene or But-2-ene
Q = CH₃CH₂CH(Cl)CH₃ (2-Chlorobutane)
R = CH₃CH₂CH(NH₂)CH₃ (Butan-2-amine)
S = CH₃CH₂CH(OH)CH₃ (Butan-2-ol)
\begin{itemize}
\item Option (A) is incorrect because it shows Q as 1-Chlorobutane.
\item Option (B) is incorrect because it shows Q as 1-Chlorobutane and S as Butan-1-ol.
\item Option (C) shows P=But-2-ene, Q=2-Chlorobutane, R=Butan-2-amine, and S=Butan-2-ol. This sequence is entirely consistent with our analysis.
\item Option (D) starts with Cyclobutane, which has the formula C₄H₈, but its reaction with HCl would be a ring-opening reaction under specific conditions, not a simple addition to form chlorocyclobutane. The proposed sequence is less likely and doesn't fit the typical reactions described.
\end{itemize}
Step 4: Final Answer:
The correct reaction sequence is described in option (C).