The dissolution of gases in water is influenced by their chemical properties and their interaction with water molecules. Considering the provided gases: - Oxygen (O\(_2\)) exhibits restricted solubility in water. - Nitrogen (N\(_2\)) demonstrates lower solubility in water due to its nonpolar characteristics. - Carbon dioxide (CO\(_2\)) exhibits substantial solubility in water owing to its capacity to generate carbonic acid (H\(_2\)CO\(_3\)) upon dissolution. - Hydrogen (H\(_2\)) possesses limited solubility in water. Answer: Carbon dioxide displays the highest solubility in water; therefore, option (3) is the correct selection.