`P_(4)+SOCl_(2) overset(Delta)to`Products
Find out total number of non-planar and polar molecules of products in balanced equation for one mole of `P_(4)`.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Write the Reaction
We start with the reaction of phosphorus (P₄) with thionyl chloride (SOCl₂). The balanced chemical equation for the reaction is:
\[ P_4 + 8 SOCl_2 \rightarrow 4 PCl_3 + 4 SO_2 + 2 S_2Cl_2 \]

### Step 2: Identify the Products
From the balanced equation, we have three products:
1. Phosphorus trichloride (PCl₃)
2. Sulfur dioxide (SO₂)
3. Disulfur dichloride (S₂Cl₂)

### Step 3: Determine the Geometry of Each Product
Next, we need to analyze the geometry of each product to determine if they are planar or non-planar.

1. **PCl₃**:
- Phosphorus has five valence electrons and forms three bonds with chlorine atoms, leaving one lone pair.
- The molecular geometry is trigonal pyramidal, which is **non-planar**.

2. **SO₂**:
- Sulfur has six valence electrons and forms two bonds with oxygen atoms, with one lone pair remaining.
- The molecular geometry is bent (or V-shaped), which is **planar**.

3. **S₂Cl₂**:
- Each sulfur atom forms a bond with another sulfur atom and two chlorine atoms.
- The structure is non-linear, and the geometry is also **non-planar**.

### Step 4: Determine Polarity
Now we will check the polarity of each product:

1. **PCl₃**:
- It is a polar molecule due to the presence of a lone pair on phosphorus and the electronegativity difference between phosphorus and chlorine.

2. **SO₂**:
- It is also a polar molecule due to its bent shape and the difference in electronegativity between sulfur and oxygen.

3. **S₂Cl₂**:
- It is a polar molecule as well, due to the difference in electronegativity between sulfur and chlorine and its non-planar structure.

### Step 5: Count Non-Planar and Polar Molecules
Now we summarize the findings:
- **Non-Planar and Polar Molecules**:
- PCl₃ (1)
- S₂Cl₂ (1)

- **Planar and Polar Molecules**:
- SO₂ (1)

### Conclusion
The total number of non-planar and polar molecules from the products is:
- PCl₃: 4 moles (from the balanced equation)
- S₂Cl₂: 2 moles (from the balanced equation)

Thus, the total number of non-planar and polar molecules is:
\[ 4 \, (PCl_3) + 2 \, (S_2Cl_2) = 6 \]

### Final Answer
The total number of non-planar and polar molecules of products in the balanced equation for one mole of P₄ is **6**.

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