Why would a molecule such as methane not dissolve well into water?

Hint: Methane is a chemical molecule with the formula $ C{{H}_{4}} $ that is found in nature (one atom of carbon and four atoms of hydrogen). It is the simplest alkane and a group-14 hydride, and it is the primary component of natural gas. Because of its relative abundance on Earth, methane is a cost-effective fuel, however collecting and storing it is difficult due to its gaseous form under typical temperature and pressure conditions.

Complete answer:
Generally speaking, polar solvents dissolve polar solutes, while nonpolar solvents dissolve nonpolar solutes. Non-polar and polar compounds, on the other hand, are incompatible (do not mix each other). Consider glucose, which is an ionic material that is solely polar. As a result, glucose dissolves in polar solvents such as water.
Polar compounds will dissolve in water since it is extremely polar in nature. Grease, for example, is a polar nonpolar material. As a result, grease dissolves in non-polar solvents such as kerosene or benzene. Non-polar compounds will dissolve in kerosene or benzene since they are non-polar solvents.
Methane, after all, is a nonpolar molecule. These nonpolar molecules have a difficult time dissolving in water. You've probably heard the phrase "like dissolves like." Because water is polar, it naturally dissolves when it comes into contact with other polar molecules.
Methane, on the other hand, is a nonpolar molecule with few polar C-H bonds. The dipole moment of the C-H bond is minimal, and even if it did have any polarity, the molecule's tetrahedral structure would result in no net dipole. Compare this to the low solubility of $ CC{{l}_{4}} $ in water.
However, as chemists and physical scientists, we must continually seek for facts to support our claims. The solubility of $ 0.01.g.k{{g}^{-1}} $ (of water) is quoted on by research, which is comparable to the solubility of the nitrogen molecule under similar circumstances.

Note:
A solvent is a substance that dissolves a solute and forms a solution as a consequence. A liquid is the most common type of solvent, although it can also be a solid, a gas, or a supercritical fluid. Water is the most frequent solvent utilised by living organisms and a solvent for polar molecules; all ions and proteins in a cell are dissolved in water within the cell. Temperature affects the amount of solute that can dissolve in a given volume of solvent.