For gas to be soluble in the water there are several factors such as-
Temperature - As it is seen that the solubility of a gas in water will decrease with increasing temperature ( colder water will dissolve more gas in it).
Solvent polarity- polar solvents have high solubility in water whereas nonpolar solvents are insoluble.
Hydrogen gas () is almost insoluble in water because it is nonpolar in nature.