The three main laws summarized are: 1) Ideal Gas Law: PV = nRT, relating pressure, volume, moles of gas, and temperature. 2) Henry's Law: The solubility of a gas in a liquid is directly proportional to the partial pressure of that gas above the liquid. 3) Raoult's Law: The vapor pressure of a component in a solution is directly proportional to its mole fraction in the solution.