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1 The Ideal Gas Law is a convenient approximation of most gas-phase reactions, but does not always sufficiently describe real gases near the condensation point, near the critical point, or at high pressures.  Two common models for real gases are the van der Waals model and the Redlich-Kwong model.
An ideal gas is defined as one in which all collisions between atoms or molecules are perfectly eleastic and in which there are no intermolecular attractive forces. One can visualize it as a collection of perfectly hard spheres which collide but which otherwise do not interact with each other.