The number of sigma `(sigma)` and pi`(pi)` bonds in the following structure are
`(CH_(3))_(2)CH-CH=CH-CH_(2)-CH=CH-underset(C_(2)H_(5))underset(|)(C)H-CH_(3)`

Options

A. `sigma` bonds -33 and `pi` bonds-2
B. `sigma` bonds-22 and `pi` bonds-2
C. `sigma` bonds-42 and `pi` bonds-2
D. `sigma` bonds-40 and `pi` bonds-3

Answer

To determine the number of sigma (σ) and pi (π) bonds in the given structure, we will follow these steps:

### Step 1: Identify the Structure
The given structure is:
`(CH₃)₂CH-CH=CH-CH₂-CH=CH-C₂H₅`

### Step 2: Count the Pi Bonds
1. **Identify the Double Bonds**: In the structure, we can see two double bonds (C=C).
2. **Count the Pi Bonds**: Each double bond consists of one sigma bond and one pi bond. Therefore, for two double bonds:
- Total π bonds = 2 (one from each double bond).

### Step 3: Count the Sigma Bonds
1. **Count the Carbon Atoms**:
- The structure contains 12 carbon atoms.

2. **Count the Sigma Bonds Between Carbon Atoms**:
- Each carbon-carbon bond is a sigma bond. In a chain of n carbon atoms, there are (n-1) sigma bonds between them.
- For 12 carbon atoms:
- Sigma bonds between C atoms = 12 - 1 = 11.

3. **Count the Sigma Bonds with Hydrogen Atoms**:
- Each carbon atom typically forms 4 bonds.
- For each carbon atom in the structure, we will determine how many hydrogen atoms are attached:
- (CH₃)₂CH contributes 6 sigma bonds (3 from each CH₃ and 1 from CH).
- The CH=CH contributes 1 sigma bond (from CH to CH).
- The CH₂ contributes 1 sigma bond (from CH₂ to CH).
- The second CH=CH contributes 1 sigma bond (from CH to CH).
- The C₂H₅ contributes 5 sigma bonds (3 from CH₃ and 2 from CH₂).
- Total sigma bonds from hydrogen atoms = 6 + 1 + 1 + 1 + 5 = 14.

4. **Total Sigma Bonds**:
- Total sigma bonds = Sigma bonds between C atoms + Sigma bonds with H atoms = 11 + 14 = 25.

### Final Count
- Total π bonds = 2
- Total σ bonds = 25

### Conclusion
The total number of sigma bonds is 25, and the total number of pi bonds is 2.

### Summary
- **Number of Sigma Bonds (σ)**: 25
- **Number of Pi Bonds (π)**: 2

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