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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.
For the purpose of calculations, it is convenient to place the ideal gas law in the form: where the subscripts i and f refer to the initial and final states of some process. If the temperature is constrained to be constant, this becomes: