The total number of compounds having at least one bridging oxo group among the molecules given below is
`N_(2)O_(3), N_(2)O_(5), P_(4)O_(6), P_(4)O_(7), H_(4)P_(2)O_(5), H_(5)P_(3)O_(10), H_(2)S_(2)O_(3), H_(2)S_(2)O_(5)`

Answer

To determine the total number of compounds that have at least one bridging oxo group among the given molecules, we will analyze each compound one by one. A bridging oxo group is defined as an oxygen atom that connects two metal or non-metal atoms in a structure.

### Step-by-Step Solution:

1. **Identify the Compounds**: The compounds given are:
- N₂O₃
- N₂O₅
- P₄O₆
- P₄O₇
- H₄P₂O₅
- H₅P₃O₁₀
- H₂S₂O₃
- H₂S₂O₅

2. **Understand Bridging Oxo Groups**: A bridging oxo group connects two atoms, typically represented as M-O-M, where M can be a metal or non-metal.

3. **Analyze Each Compound**:
- **N₂O₃**: The structure does not show any bridging oxo groups. (NO bridging)
- **N₂O₅**: Contains a bridging oxo group (N-O-N). (Has bridging)
- **P₄O₆**: Contains bridging oxo groups (P-O-P). (Has bridging)
- **P₄O₇**: Contains bridging oxo groups (P-O-P). (Has bridging)
- **H₄P₂O₅**: Contains bridging oxo groups (P-O-P). (Has bridging)
- **H₅P₃O₁₀**: Contains bridging oxo groups (P-O-P). (Has bridging)
- **H₂S₂O₃**: Does not contain any bridging oxo groups. (NO bridging)
- **H₂S₂O₅**: Does not contain any bridging oxo groups. (NO bridging)

4. **Count the Compounds with Bridging Oxo Groups**:
- The compounds with bridging oxo groups are: N₂O₅, P₄O₆, P₄O₇, H₄P₂O₅, and H₅P₃O₁₀.
- Total = 5 compounds.

### Final Answer:
The total number of compounds having at least one bridging oxo group is **5**.