The Taylor Series EOS and Its Short Form

For any material (liquid, solid, or gas), the density can be written as a Taylor series  

Physical and Chemical Equilibrium for Chemical Engineers, Second Edition. Noel de Nevers. 2012 John Wiley Sons, Inc. Published 2012 by John Wiley Sons, Inc. 

For solids, handbooks most often present the coefficient of linear thermal expansion. If we write the expression for the volume of any regular solid, take the logarithms, and differentiate, we find 

the coefficient of volume thermal expansion is w three times the hnear thermal expansion coefficient. Values of the density, isothermal compressibility, and coefficient of volume thermal expansion for some common fluids at 20°C or 25°C are listed in Table D.l (plus another column to be explained later). 

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