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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.
The Ideal Gas Law, as the saying goes, is actually PV=nRT, with all standard variables. Here n=m/M, where m is the mass of the gas and M is the molecular weight of the gas. Now in engineering analysis we often take R/M, compute it and write it as R(bar) (bar meaning a stroke on top of the R).