the Equation of State is a thermodynamic equation describing the
state of matter under a given set of physical conditions. It is a
constitutive equation which provides a mathematical relationship
between two or more state functions associated with the matter,
such as its temperature, pressure, volume, or internal energy.
there are two common types of this equations of state. the first
one is Cubic E.O.S, which has a triple root for its solution and
the second one is the Viral Equation of State which depends mainly
on a long series of constants that depend on Tr and Pr and other
materials properties.