The number oFIGURE bonds between sulphur and oxygen atoms is `S_(2)O_(8)^(2-)` and the number oFIGURE bonds between sulphur and sulphur atoms in rhombic sulphur, respectively, are:

Options

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

Answer

To solve the question regarding the number of bonds between sulfur and oxygen in \( S_2O_8^{2-} \) (peroxydisulfate) and the number of bonds between sulfur atoms in rhombic sulfur, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Compound**: The compound in question is \( S_2O_8^{2-} \), which is known as peroxydisulfate.

2. **Draw the Structure of \( S_2O_8^{2-} \)**:
- The structure consists of two sulfur atoms and eight oxygen atoms.
- In the peroxydisulfate ion, there are two sulfur atoms connected to four oxygen atoms through double bonds and two additional oxygen atoms connected through single bonds (peroxide linkages).

3. **Count the Bonds Between Sulfur and Oxygen**:
- For each sulfur atom, there are:
- 2 double bonds to oxygen (counted as 1 bond each for the purpose of counting distinct bonds).
- 4 single bonds to oxygen.
- Thus, the total number of bonds between sulfur and oxygen in \( S_2O_8^{2-} \) is:
- 2 (from double bonds) + 4 (from single bonds) = 6 bonds.
- However, since there are two sulfur atoms, we must also account for the bonds between the two sulfur atoms:
- Total bonds = 8.

4. **Identify Rhombic Sulfur**:
- Rhombic sulfur is represented as \( S_8 \), which consists of eight sulfur atoms arranged in a crown-like structure.

5. **Draw the Structure of Rhombic Sulfur**:
- The structure can be visualized as a cyclic arrangement of sulfur atoms where each sulfur atom is connected to two neighboring sulfur atoms.

6. **Count the Bonds Between Sulfur Atoms**:
- In rhombic sulfur, each sulfur atom is bonded to two other sulfur atoms.
- Since there are 8 sulfur atoms, the total number of bonds can be calculated as:
- Each bond connects two sulfur atoms, so the total number of bonds is \( \frac{8 \times 2}{2} = 8 \).

7. **Final Answer**:
- The number of bonds between sulfur and oxygen in \( S_2O_8^{2-} \) is 8.
- The number of bonds between sulfur and sulfur in rhombic sulfur is also 8.

### Final Result:
The number of bonds between sulfur and oxygen in \( S_2O_8^{2-} \) is **8**, and the number of bonds between sulfur and sulfur in rhombic sulfur is **8**.