The structurtal formula of the compound A, `(C_6 ,H_(11) N)` which is optically acitve , dissolves in dilute aqueous HCI and also producess `N_2` on reaction with nitrous acid is :

Options

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B.
C.
D.

Answer

To solve the question regarding the structural formula of the compound A, which is C6H11N, optically active, dissolves in dilute aqueous HCl, and produces N2 on reaction with nitrous acid, we can follow these steps:

### Step 1: Identify the characteristics of the compound
- The compound has the formula C6H11N and is optically active.
- Being optically active means it must have at least one chiral carbon atom, which is a carbon atom bonded to four different groups.

### Step 2: Analyze the reaction with nitrous acid
- The compound produces N2 gas when reacted with nitrous acid (HNO2). This indicates that the compound is likely a primary amine (RNH2), as primary amines react with nitrous acid to form diazonium salts, which decompose to release nitrogen gas.

### Step 3: Determine the structure of the compound
- We need to consider the structure that fits the formula C6H11N and has a chiral carbon.
- A possible structure could be one where the amine group (NH2) is attached to a carbon that also has three other different substituents.

### Step 4: Construct possible structures
- One potential structure could be 2-amino-3-methylpentane. This structure has the following groups attached to the chiral carbon:
- NH2 (amine group)
- CH3 (methyl group)
- CH2CH3 (ethyl group)
- H (hydrogen)

### Step 5: Verify optical activity
- The carbon atom to which the NH2, CH3, CH2CH3, and H are attached is a chiral center, confirming that the compound is optically active.

### Step 6: Check solubility in dilute HCl
- The compound should dissolve in dilute HCl, which is typical for amines as they can form ammonium salts in acidic conditions.

### Conclusion
Based on the analysis, the structural formula of compound A (C6H11N) is likely to be 2-amino-3-methylpentane, which meets all the criteria given in the question.