Find the number of molecule having two lone `e^(-)` pairs, on central atom.
`I_(3)^(+), XeF_(2), XeF_(4), H_(2)O, NH_(2)^(-), H_(2)S, SO_(4)^(2-), NF_(3), NO_(2)^(-), XeOF_(2)`

Answer

To find the number of molecules having two lone pairs on the central atom from the given list, we will analyze each molecule step by step.

1. **I₃⁺ (Iodine triiodide cation)**:
- The central iodine atom in I₃⁺ has three iodine atoms bonded to it.
- It has **two lone pairs** on the central iodine atom.
- **Conclusion**: Yes, it has two lone pairs.

2. **XeF₂ (Xenon difluoride)**:
- The central xenon atom is bonded to two fluorine atoms.
- It has **three lone pairs** on the central xenon atom.
- **Conclusion**: No, it does not have two lone pairs.

3. **XeF₄ (Xenon tetrafluoride)**:
- The central xenon atom is bonded to four fluorine atoms.
- It has **two lone pairs** on the central xenon atom.
- **Conclusion**: Yes, it has two lone pairs.

4. **H₂O (Water)**:
- The central oxygen atom is bonded to two hydrogen atoms.
- It has **two lone pairs** on the central oxygen atom.
- **Conclusion**: Yes, it has two lone pairs.

5. **NH₂⁻ (Amide ion)**:
- The central nitrogen atom is bonded to two hydrogen atoms and has a negative charge.
- It has **two lone pairs** on the central nitrogen atom.
- **Conclusion**: Yes, it has two lone pairs.

6. **H₂S (Hydrogen sulfide)**:
- The central sulfur atom is bonded to two hydrogen atoms.
- It has **two lone pairs** on the central sulfur atom.
- **Conclusion**: Yes, it has two lone pairs.

7. **SO₄²⁻ (Sulfate ion)**:
- The central sulfur atom is bonded to four oxygen atoms.
- It has **no lone pairs** on the central sulfur atom.
- **Conclusion**: No, it does not have two lone pairs.

8. **NF₃ (Nitrogen trifluoride)**:
- The central nitrogen atom is bonded to three fluorine atoms.
- It has **one lone pair** on the central nitrogen atom.
- **Conclusion**: No, it does not have two lone pairs.

9. **NO₂⁻ (Nitrite ion)**:
- The central nitrogen atom is bonded to two oxygen atoms and has a negative charge.
- It has **one lone pair** on the central nitrogen atom.
- **Conclusion**: No, it does not have two lone pairs.

10. **XeOF₂ (Xenon oxyfluoride)**:
- The central xenon atom is bonded to one oxygen atom and two fluorine atoms.
- It has **two lone pairs** on the central xenon atom.
- **Conclusion**: Yes, it has two lone pairs.

Now, let's summarize the findings:

- Molecules with two lone pairs:
- I₃⁺
- XeF₄
- H₂O
- NH₂⁻
- H₂S
- XeOF₂

**Total Count**: 6 molecules have two lone pairs on the central atom.

### Final Answer: 6