Which of the following fact is directly explained by the statement oxygen is a smaller atom than sulphur ?

Options

A. `H_(2)O` boils at a much higher temperature than `H_(2)S`
B. `H_(2)O` undergoes intermolecular hydrogen bonding
C. `H_(2)O` is liquid and `H_(2)S` is gas at room temperature
D. S-H bond is longer than O-H bond

Explanation

To solve the question "Which of the following facts is directly explained by the statement oxygen is a smaller atom than sulphur?", we will analyze each option provided and determine which one is directly related to the atomic size difference between oxygen and sulfur.

### Step-by-Step Solution:

1. **Understanding Atomic Size**:
- Oxygen (O) is in Group 16 of the periodic table, and sulfur (S) is directly below it in the same group. As we move down a group in the periodic table, the atomic size increases due to the addition of electron shells.

2. **Analyzing the Options**:
- **Option 1**: H2O boils at a much higher temperature than H2S.
- This fact is related to the strength of intermolecular forces, particularly hydrogen bonding, but does not directly explain the size difference.

- **Option 2**: H2O undergoes cooler hydrogen bonding.
- This option is also related to hydrogen bonding, which is influenced by the size of the atoms, but it does not directly explain the atomic size relationship.

- **Option 3**: H2O is liquid and H2S is a gas at room temperature.
- This is related to the boiling points and intermolecular forces but does not directly correlate with the atomic size difference.

- **Option 4**: SH bond is longer than OH bond.
- This option directly relates to the atomic sizes. Since sulfur is larger than oxygen, the bond length of the S-H bond will be longer than that of the O-H bond. This is because larger atoms have larger orbitals, resulting in longer bond lengths.

3. **Conclusion**:
- The correct answer is **Option 4**: SH bond is longer than OH bond. This fact is directly explained by the statement that oxygen is a smaller atom than sulfur.

### Final Answer:
**Option 4: SH bond is longer than OH bond.**