An organic compound (P) having molecular mass 180 is acylated with `CH_(3)COCl` to get a new compound with molecular mass 348. The number of amino groups present per molecule of compound (P) is

Answer

To solve the problem, we need to determine the number of amino groups present in the organic compound (P) based on the given molecular masses before and after acylation.

### Step-by-Step Solution:

1. **Identify the Molecular Masses**:
- The molecular mass of compound (P) is given as 180 g/mol.
- After acylation with CH₃COCl, the new compound has a molecular mass of 348 g/mol.

2. **Calculate the Increase in Molecular Mass**:
- The increase in molecular mass due to acylation can be calculated as:
\[ \text{Increase in mass} = \text{Final mass} - \text{Initial mass} = 348 - 180 = 168 \text{ g/mol} \]

3. **Determine the Increase in Mass per Amino Group**:
- When one amino group (NH₂) is acylated, it forms an amide (NHCOCH₃).
- The molecular mass of NH₂ is:
\[ \text{Molecular mass of NH₂} = 14 \text{ (N)} + 2 \text{ (H)} = 16 \text{ g/mol} \]
- The molecular mass of the acylated product (NHCOCH₃) is:
\[ \text{Molecular mass of NHCOCH₃} = 14 \text{ (N)} + 1 \text{ (H)} + 12 \text{ (C)} + 16 \text{ (O)} + 12 \text{ (C)} + 3 \text{ (H)} = 58 \text{ g/mol} \]
- The increase in mass when one NH₂ group is acylated is:
\[ \text{Increase in mass per NH₂} = 58 - 16 = 42 \text{ g/mol} \]

4. **Calculate the Number of Amino Groups**:
- To find the number of amino groups (n) in compound (P), we can set up the equation based on the total increase in mass:
\[ n \times \text{Increase in mass per NH₂} = \text{Total increase in mass} \]
- Substituting the known values:
\[ n \times 42 = 168 \]
- Solving for n:
\[ n = \frac{168}{42} = 4 \]

5. **Conclusion**:
- The number of amino groups present per molecule of compound (P) is **4**.