The law of corresponding states is an empirical equation according to which the equation of states of a real gas is the same when these gas are expressed into reduced temperature, pressure, and, volume at a critical point.
According to Van der Waal, the law of corresponding states explains that all the fluids have the same compressibility factor and all behave like an ideal gas but at a reduced temperature, and, pressure.
Temperature is inversely proportional to the compressibility factor and as the temperature increases, the behaviour of gas is reduced.
At high temperatures and pressure, some gases follow the ideal gas law.