Here's why:

* Polarity:

* Methanol has a polar O-H bond, which creates a partial positive charge on the hydrogen atom and a partial negative charge on the oxygen atom. This makes methanol a polar molecule.

* Methane has only C-H bonds, which are nonpolar. All the bonds are symmetrical, so the molecule itself is nonpolar.

* Solubility in Water:

* Water (H2O) is a highly polar molecule. It forms hydrogen bonds with other water molecules.

* Methanol can form hydrogen bonds with water molecules due to its polar O-H bond. This strong interaction allows methanol to dissolve well in water.

* Methane, being nonpolar, cannot form hydrogen bonds with water. It experiences only weak van der Waals forces with water molecules, making it practically insoluble in water.

In summary:

Methanol's polarity due to the O-H bond makes it able to form hydrogen bonds with water, resulting in high solubility. Methane, being nonpolar, cannot form these strong interactions with water, making it insoluble.