In anthrcene ,number of pi electrons is equal to x. the value of x is

Options

A. 6
B. 10
C. 14
D. 12

Answer

To find the number of pi electrons in anthracene, we can follow these steps:

### Step 1: Understand the Structure of Anthracene
Anthracene is a polycyclic aromatic hydrocarbon consisting of three fused benzene rings. The structure can be visualized as three hexagonal rings connected in a linear fashion.

**Hint:** Recall that each benzene ring contributes to the overall structure of anthracene.

### Step 2: Identify the Number of Carbon Atoms
In anthracene, there are 14 carbon atoms. Each carbon atom in the benzene rings is bonded in such a way that it contributes to the pi system.

**Hint:** Count the number of carbon atoms in the three fused rings to ensure you have the correct total.

### Step 3: Determine the Number of Pi Bonds
Each carbon atom in the benzene structure has one pi bond. In anthracene, there are 7 pi bonds formed due to the overlap of p-orbitals between adjacent carbon atoms.

**Hint:** Remember that each bond between two carbon atoms in the aromatic structure contributes to the pi bond count.

### Step 4: Calculate the Number of Pi Electrons
Since each pi bond contains 2 pi electrons, we can calculate the total number of pi electrons by multiplying the number of pi bonds by 2.

\[ \text{Total Pi Electrons} = \text{Number of Pi Bonds} \times 2 = 7 \times 2 = 14 \]

**Hint:** Use the formula for calculating total pi electrons based on the number of pi bonds.

### Conclusion
The number of pi electrons (x) in anthracene is 14.

**Final Answer:** x = 14