The solubility of gases in water depends on their chemical nature and the interaction with water molecules. Among the given gases:
- Oxygen (O\(_2\)) has limited solubility in water.
- Nitrogen (N\(_2\)) is less soluble in water because of its nonpolar nature.
- Carbon dioxide (CO\(_2\)) is highly soluble in water due to its ability to form carbonic acid (H\(_2\)CO\(_3\)) when dissolved.
- Hydrogen (H\(_2\)) has limited solubility in water.
Answer: Carbon dioxide is most soluble in water, so the correct answer is option (3).