Total number of `sp^(3)` hybridised atom(s) in given hydrocarbon.
`{:(CH_(3)-CH=CH-CH_(2) -C=CH(" |"),(""CH_(3)):"}`

Explanation

To determine the total number of sp³ hybridized atoms in the given hydrocarbon, we will follow these steps:

### Step 1: Draw the Structure of the Hydrocarbon
The given hydrocarbon is CH₃-CH=CH-CH₂-C≡CH. We will draw its structure to visualize the bonding.

```
CH₃
|
C
|
C = C
|
C - C ≡ C - H
```

### Step 2: Identify the Hybridization of Each Carbon Atom
Now, we will analyze each carbon atom in the structure to determine its hybridization.

1. **First Carbon (C₁)**:
- Bonds: 4 (3 H + 1 C)
- Hybridization: sp³ (steric number = 4)

2. **Second Carbon (C₂)**:
- Bonds: 3 (1 H + 1 C + 1 C)
- Hybridization: sp² (steric number = 3)

3. **Third Carbon (C₃)**:
- Bonds: 3 (1 H + 1 C + 1 C)
- Hybridization: sp² (steric number = 3)

4. **Fourth Carbon (C₄)**:
- Bonds: 4 (2 H + 1 C + 1 C)
- Hybridization: sp³ (steric number = 4)

5. **Fifth Carbon (C₅)**:
- Bonds: 2 (1 H + 1 C)
- Hybridization: sp (steric number = 2)

### Step 3: Count the Total Number of sp³ Hybridized Carbons
From our analysis:
- C₁ is sp³
- C₂ is sp²
- C₃ is sp²
- C₄ is sp³
- C₅ is sp

The sp³ hybridized carbons are C₁ and C₄.

### Step 4: Conclusion
The total number of sp³ hybridized atoms in the given hydrocarbon is **2**.

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