Serotonin is a famous tranquilizer if it contains 'X' number of lp of electrons and 'Y' number of `pi-` bonds. The sum of `X+Y` is equal to

Answer

To solve the problem, we need to determine the values of \(X\) (the number of lone pairs of electrons) and \(Y\) (the number of pi bonds) in serotonin, and then find the sum \(X + Y\).

### Step-by-Step Solution:

1. **Identify the Structure of Serotonin**:
- First, we need to visualize or refer to the chemical structure of serotonin. It is important to identify all the atoms present in the molecule.

2. **Count the Lone Pairs of Electrons**:
- **Carbon Atoms**: In the structure, carbon typically does not have lone pairs because it forms four bonds to satisfy its tetravalency.
- **Oxygen Atoms**: Each oxygen atom typically has two lone pairs. In serotonin, there is one hydroxyl group (-OH), which contributes 2 lone pairs from the oxygen.
- **Nitrogen Atoms**: Each nitrogen in serotonin typically has one lone pair. There are two nitrogen atoms in serotonin (one in the amine group -NH2 and one in the indole structure), contributing 1 lone pair each.

Calculation:
- Lone pairs from Oxygen: 2 (from -OH)
- Lone pairs from Nitrogen: 1 (from -NH2) + 1 (from -NH) = 2
- Total \(X\) (lone pairs) = 2 (from O) + 2 (from N) = 4

3. **Count the Pi Bonds**:
- Pi bonds are typically found in double bonds and in aromatic systems. In serotonin, we can identify the following:
- There are 4 pi bonds in the structure:
- 1 from the C=C double bond in the indole ring,
- 3 from the aromatic system (the benzene-like structure).

Calculation:
- Total \(Y\) (pi bonds) = 4

4. **Calculate the Sum \(X + Y\)**:
- Now we can find the sum of \(X\) and \(Y\):
\[ X + Y = 4 + 4 = 8 \]

### Final Answer:
The sum of \(X + Y\) is equal to **8**.

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