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**Published:** Jan 2007

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In chapter 5 the PVT relations and theory of intermolecular forces were discussed. The PVT relations and equations of states are the basis of property calculations as all physical and thermodynamic properties can be related to PVT properties. In this chapter we review principles and theory of property estimation methods and basic thermodynamic relations that will be used to calculate physical and thermodynamic properties. The PVT relations and equations of state are perhaps the most important thermodynamic relations for pure fluids and their mixtures. Once the PVT relation is known, various physical and thermodynamic properties needed for design and operation of units in the petroleum and related industries can be calculated. Density can be directly calculated from knowledge of molar volume or compressibility factor through Eq. (5.15). Various thermodynamic properties such heat capacity, enthalpy, vapor pressure, phase behavior and vapor liquid equilibrium (VLE), equilibrium ratios, intermolecular parameters, and transport properties all can be calculated through accurate knowledge of PVT relation for the fluid. Some of these relations are developed in this chapter through fundamental thermodynamic relations. Once a property is related to PVT, using an appropriate EOS, it can be estimated at any temperature and pressure for pure fluids and fluid mixtures. Development of such important relations is discussed in this chapter, while their use to estimate thermophysical properties for petroleum mixtures are discussed in the next chapter.

**Committee/Subcommittee:** D02.11

**DOI:** 10.1520/MNL11406M