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 determine 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 composed of three fused benzene rings in a linear arrangement. It has a total of 14 carbon atoms and 10 hydrogen atoms.

**Hint:** Remember that anthracene consists of multiple fused benzene rings.

### Step 2: Identify the Hybridization of Carbon Atoms
In anthracene, each carbon atom is sp² hybridized. This hybridization allows for the formation of one sigma bond with adjacent carbon atoms and one pi bond with the adjacent carbon atom.

**Hint:** Recall that sp² hybridization leads to the formation of one pi bond per carbon atom.

### Step 3: Count the Number of Pi Bonds
In anthracene, there are 7 pi bonds formed between the carbon atoms. This can be visualized by drawing the structure or recognizing that each benzene ring contributes to the overall pi bonding.

**Hint:** Count the number of double bonds in the structure of anthracene to determine the number of pi bonds.

### Step 4: Calculate the Total Number of Pi Electrons
Since each pi bond consists of 2 electrons, the total number of pi electrons can be calculated as follows:
\[ \text{Total Pi Electrons} = \text{Number of Pi Bonds} \times 2 \]
\[ \text{Total Pi Electrons} = 7 \times 2 = 14 \]

**Hint:** Remember that each pi bond contributes 2 electrons to the total count.

### Step 5: Verify with Huckel's Rule
According to Huckel's rule, for a compound to be aromatic, it must have \(4n + 2\) pi electrons, where \(n\) is a non-negative integer. For \(n = 3\):
\[ 4(3) + 2 = 12 + 2 = 14 \]
This confirms that anthracene is aromatic and has 14 pi electrons.

**Hint:** Use Huckel's rule to confirm the aromaticity and the count of pi electrons.

### Conclusion
The value of \(x\), which represents the number of pi electrons in anthracene, is 14.

**Final Answer:** \(x = 14\)