Concept:
The solubility of rare gases in water depends on the specific intermolecular forces between polar water molecules and non-polar noble gas atoms.
Step 1: {Analyze the molecular properties of the components.}
Water ($H_2O$) is a polar molecule with a permanent dipole. Rare gases are monoatomic and non-polar, meaning they have no inherent dipole moment.
Step 2: {Identify the force created during interaction.}
When a rare gas atom approaches a water molecule, the permanent dipole of water induces a temporary dipole in the rare gas atom by distorting its electron cloud.
Step 3: {Conclude the interaction type.}
This leads to a dipole-induced dipole interaction. These forces are weak, which explains why rare gases do not dissolve significantly in water.