In the history of physics, J D van der Waals pioneered studies on the fundamental properties of the gas-liquid system, establishing the first equation of state which describes not only gases and liquids but also phase transition and critical phenomena.

Incompatible as the van der Waals gas and the third law of thermodynamics;

From the reduced equation of state of Van Der Waals gas,this article derives that the value of the critical exponent equals,which is approximately the value of experiment.

The adiabatic processes of ideal gas and van der Waals gas are discussed.

We discuss the true gas state equation,analyze the course of Van der Waals establishing his famous equation,and according to the assemblage theory of statistical physics with MaxwellBoltzmann distribution,give a kind of new method of establishing Van der Waals equation.

Ideal gas equation of state and van der Waals equation are used to calculate the capacity of hydrogen storage of the materials of resorcinol-formaldehyde carbonized aerogel with the help of the new apparatus.

Author finds a quantum mechanics solution of Van der Waals combine modle,and offers its form of wave-function,energy and Van der Waals attractive potential energy.