In which of the following conditions, the distance between the molecules of hydrogen gas would increase ?
(i) Increasing pressure on hydrongen contained in a closed container.
(ii) Some hydrogen gas leaking out of the container.
(iii) Increasing the volume of the contianer of hydrogen gas .
(iv) Adding more hydrogen gas to the container without increasing the volume of the container.

Options

A. (i) and (ii)
B. (i) and (iv)
C. (ii) and (iii)
D. (ii) and (iv)

Explanation

To determine in which conditions the distance between the molecules of hydrogen gas would increase, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement (i): Increasing pressure on hydrogen contained in a closed container.**
- When pressure is increased in a closed container, the molecules are forced closer together. This means the distance between the molecules decreases.
- **Conclusion:** This statement is incorrect.

2. **Statement (ii): Some hydrogen gas leaking out of the container.**
- If some hydrogen gas leaks out, there are fewer molecules in the container. With fewer molecules, the remaining molecules will have more space between them.
- **Conclusion:** This statement is correct as the distance between the remaining molecules increases.

3. **Statement (iii): Increasing the volume of the container of hydrogen gas.**
- Increasing the volume of the container allows the same number of molecules to occupy a larger space. This results in an increase in the distance between the molecules.
- **Conclusion:** This statement is also correct as the distance between the molecules increases.

4. **Statement (iv): Adding more hydrogen gas to the container without increasing the volume of the container.**
- If more hydrogen gas is added without increasing the volume, the number of molecules increases while the space remains the same. This causes the molecules to be closer together, decreasing the distance between them.
- **Conclusion:** This statement is incorrect.

### Final Answer:
The conditions in which the distance between the molecules of hydrogen gas would increase are:
- Statement (ii): Some hydrogen gas leaking out of the container.
- Statement (iii): Increasing the volume of the container of hydrogen gas.

Thus, the correct answer is the second and third statements.

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