Equations of State
 From molecular considerations, identify which intermolecular
interactions are significant (including estimating relative
strengths of dipole moments, polarizability, etc.)
 Apply simple rules for calculating P, v, or T

 Calculate P, v, or T from nonideal equations of state (cubic
equations, the virial equation, compressibility charts, and
ThermoSolver)
 Apply the Rackett equation, the thermal expansion coefficient,
and the isothermal compressibility to find v for liquids and
solids
 State the molecular components that contribute to internal
energy
 Relate macroscopic thermodynamic properties/behaviors with
their molecular origins, including point charges, dipoles, induced
dipoles, dispersion interactions, repulsive forces, and chemical
effects
 Define van der Waals forces and relate it to the dipole moment
and polarizability of a molecule
 Define a potential function
 Write equations for ideal gas, hard sphere, Sutherland, and
LennardJones potentials and relate them to intermolecular
interactions
 Explain the origin of an use "complex" equations of state

 State the molecular assumptions of the ideal gas law
 Explain how the terms in the van der Waals equation relax these
assumptions
 Describe how cubic equations of state account for attractive
and repulsive interactions
 State and use the principle of corresponding states to develop
expressions for the critical property data of a species
 Describe the purpose of the acentric factor and its role in the
construction of compressibility charts
 Adapt our approach to mixtures

 Write the van der Waals mixing rules and explain their
functionality in terms of molecular interactions
 Write the mixing rules for the virial coefficients and for
pseudocritical properties using Kay's rule
 Using mixing rules to solve for P, v, and T of mixtures
 Write the exact differential of one property in terms of two
other properties
 Use departure functions to calculate property data for real
fluids (and use them to solve engineering problems)

 Calculate departure functions from LeeKesler charts
 Use equations of state to calculate departure functions