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 fact is directly explained by the statement oxygen is a smaller atom than sulphur?", we will analyze the options provided and relate them to the atomic size of oxygen and sulfur.

### Step-by-Step Solution:

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

2. **Analyzing the Options**:
- We need to evaluate each option to see which one can be directly explained by the fact that oxygen is smaller than sulfur.

3. **Option A: H2O boils at much higher temperature than H2S**:
- This statement relates to the boiling point of water and hydrogen sulfide. The higher boiling point of water is due to hydrogen bonding, not directly due to the size of the oxygen atom compared to sulfur.

4. **Option B: H2O undergoes intermolecular hydrogen bonding**:
- While this is true, the ability to form hydrogen bonds is more related to the electronegativity of oxygen rather than its size compared to sulfur.

5. **Option C: H2O is liquid and H2S is gas at room temperature**:
- This statement is influenced by intermolecular forces, again not directly related to the atomic size of oxygen versus sulfur.

6. **Option D: SH bond is longer than OH bond**:
- This statement can be directly explained by the atomic size. Since sulfur is larger than oxygen, the bond length (distance between the nuclei of the atoms) in SH is greater than in OH. This is because the larger size of sulfur leads to a longer bond length due to increased distance between the bonded atoms.

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