The number of `sigma `-bonds between P and O atom in `H_(4)P_(2)O_(7)` and number of bonds between P and P atom in white phosphorus, respectively are

Options

A. 6 and 4
B. 8 and 6
C. 8 and 7
D. 7 and 4

Explanation

To solve the problem, we need to determine the number of sigma (σ) bonds between phosphorus (P) and oxygen (O) atoms in the compound H₄P₂O₇ (pyrophosphoric acid) and the number of bonds between phosphorus (P) atoms in white phosphorus.

### Step-by-Step Solution:

1. **Understanding the Structure of H₄P₂O₇:**
- H₄P₂O₇ is known as pyrophosphoric acid.
- The structure can be represented as:
```
HO-P(=O)-O-P(=O)-OH
```
- In this structure, each phosphorus atom (P) is bonded to oxygen (O) atoms and hydroxyl (OH) groups.

2. **Counting the Sigma Bonds in H₄P₂O₇:**
- Each single bond between P and O is a sigma bond.
- In the structure, we can identify:
- 4 P-O single bonds from the hydroxyl groups (OH).
- 2 P=O double bonds (each double bond has 1 sigma bond).
- 2 additional P-O single bonds connecting the two phosphorus atoms.
- Totaling these:
- 4 (from OH) + 2 (from P=O) + 2 (P-O between P atoms) = 8 sigma bonds.

3. **Understanding the Structure of White Phosphorus:**
- White phosphorus consists of P₄ tetrahedral units.
- Each phosphorus atom is bonded to three other phosphorus atoms.
- The structure can be visualized as a tetrahedron where each vertex represents a phosphorus atom.

4. **Counting the Sigma Bonds in White Phosphorus:**
- Each P-P bond in white phosphorus is a sigma bond.
- Since there are 4 phosphorus atoms, and each is bonded to 3 others, we can count the bonds:
- Each P atom forms 3 bonds, but since each bond is counted twice (once for each atom), the total number of unique P-P bonds is:
- Total P-P bonds = (4 P atoms × 3 bonds) / 2 = 6 sigma bonds.

5. **Final Answer:**
- The number of sigma bonds between P and O in H₄P₂O₇ is **8**.
- The number of bonds between P and P in white phosphorus is **6**.

### Conclusion:
The answer to the question is **8 σ-bonds in H₄P₂O₇ and 6 P-P bonds in white phosphorus**.