Calculation of thermodynamic properties of $\rm SF_6$ including the critical region. Thermal functions and speed of sound

Specific heats $C_v$ and $C_p$, entropy $S$, enthalpy $H$, and speed of sound $W$ have been calculated using a new thermal equation of state with a small number of variable constants, which includes regular and scale contributions with a new transition function. The calculation results correspond to the accuracy level of the modern reference equations of state with a large number of determined parameters in the regular behavioral region of $\rm SF_6$ properties; in the critical region, these results make it possible to supplement the existing reference data with the related tables, taking into account the scaling-theory advances. The experimental and tabular data on $C_v$, $C_p$, $S$, $H$, and $W$ have not been used to determine the constants of the calculation equations (except for isochoric specific heat, $C_v$, in the ideal-gas state). These data have been applied only for comparison of the calculated values with the experimental and tabular values. To calculate the behavior of thermal properties in the critical region, universal critical indices $\alpha$, $\beta$, and $\gamma$ have been used according to the three-dimensional Ising model. The mean error in describing thermal properties of $\rm SF_6$ does not exceed the error of the existing experimental data. The calculated values coincide with the modern reference data in the regular region in the entire range of gas and liquid states. The discrepancies in the critical region are due to the application of the scale equation of state (in contrast to the regular equations used previously in this region for composing reference tables).