Find the total number of non-polar compounds among the following.
`BCl_(2)F,BF_(3),SF_(6),SOCl_(2),COCl_(2),B_(3)N_(3)H_(6),PCl_(3)F_(2),PF_(3)Cl_(2)`

Explanation

To determine the total number of non-polar compounds among the given list, we need to analyze the molecular geometry and polarity of each compound. A compound is non-polar if it has a symmetrical structure that allows the dipole moments to cancel out.

### Step-by-Step Solution:

1. **Identify the Compounds:**
- BCl₂F
- BF₃
- SF₆
- SOCl₂
- COCl₂
- B₃N₃H₆
- PCl₃F₂
- PF₃Cl₂

2. **Analyze Each Compound:**
- **BCl₂F:** This compound has a trigonal bipyramidal shape due to the presence of three different atoms. The dipoles do not cancel out, making it polar.
- **BF₃:** This compound has a trigonal planar shape with symmetrical distribution of electron density. The dipoles cancel out, making it non-polar.
- **SF₆:** This compound has an octahedral shape with symmetrical distribution of electron density. The dipoles cancel out, making it non-polar.
- **SOCl₂:** This compound has a bent shape due to the presence of lone pairs on sulfur. The dipoles do not cancel out, making it polar.
- **COCl₂:** This compound has a bent shape due to the presence of lone pairs on carbon. The dipoles do not cancel out, making it polar.
- **B₃N₃H₆:** This compound has a symmetrical structure (similar to benzene) with no net dipole moment. It is non-polar.
- **PCl₃F₂:** This compound has a trigonal bipyramidal shape with different atoms, leading to an asymmetrical distribution of dipoles. It is polar.
- **PF₃Cl₂:** This compound has a trigonal bipyramidal shape with different atoms, leading to an asymmetrical distribution of dipoles. It is polar.

3. **Count the Non-Polar Compounds:**
- Non-polar compounds identified: BF₃, SF₆, B₃N₃H₆.
- Total number of non-polar compounds = 3.

### Final Answer:
The total number of non-polar compounds among the given list is **3**.