The thesis, presented herein, was undertaken on the premise that an equation of state could be derived for any gas or liquid if pertinent molecular parameters are available. This theory was advanced by R. B. Bird, J. O. Hirschfelder and C. F. Curtiss in their paper, "Theoretical Calculation of the Equation of State and Transport Properties of Gases and Liquids." (Ref. 1) A table of thermodynamic properties of helium gas was calculated using this theory and the resulting values were compared with the ·work of others. The temperature range involved in these computations was -400° to 2000°F inclusive. The corresponding distribution of pressures was from 14.696 to 6000 psia inclusive. Second and third virial coefficients, for the range of temperature quoted above, were calculated using the Leonard-Jones potential function presented in the above mentioned paper. The virial equation of state along with the corresponding thermodynamic relationships were programmed on an IBM 1620 digital computer. The computer greatly facilitated the lengthy and highly repetitive calculations involved in a study of this type.