A procedure for deriving thermodynamic properties of gases from speed of sound is presented. It is based on numerical integration of ordinary differential equations (ODEs) (rather than partial differential equations—PDEs) connecting speed of sound with other thermodynamic properties in the T-p domain. The procedure enables more powerful methods of higher-order approximation to ODEs to be used (e.g., Runge-Kutta) and requires only Dirichlet initial conditions. It was tested on gaseous argon in the temperature range from 250 to 450 K and in the pressure range from 0.2 to 12 MPa, and also on gaseous methane in the temperature range from 275 to 375 K and in the pressure range from 0.4 to 10 MPa. The density and isobaric heat capacity of argon were derived with absolute average deviations of 0.007% and 0.03%, respectively. The density and isobaric heat capacity of methane were derived with absolute average deviations of 0.006% and 0.09%, respectively.
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Biswas S.N., ten Seldam C.A. (1991). J. Chem. Thermodyn. 23:725
ten Seldam C.A., Biswas S.N. (1991). J. Chem. Phys. 94:2130
ten Seldam C.A., Biswas S.N. (1992). J. Chem. Phys. 96:6163
Biswas S.N., ten Seldam C.A. (1992). Fluid Phase Equilib. 74:219
Biswas S.N., ten Seldam C.A., Schouten J.A. (1997). Physica A 246:45
Trusler J.P.M., Zarari M.P. (1992). J. Chem. Thermodyn. 24:973
Estrada-Alexanders A.F., Trusler J.P.M., Zarari M.P. (1995). Int. J. Thermophys. 16:663
Estrada-Alexanders A.F., Trusler J.P.M. (1995). J. Chem. Thermodyn. 27:1075
Estrada-Alexanders A.F., Trusler J.P.M. (1996). Int. J. Thermophys. 17:1325
Estrada-Alexanders A.F., Trusler J.P.M. (1997). J. Chem. Thermodyn. 29:991
Dayton T.C., Beyerlein S.W., Goodwin A.R.H. (1999). J. Chem. Thermodyn. 31:847
Estrada-Alexanders A.F., Justo D. (2004). J. Chem. Thermodyn. 36:419
Benedetto G., Gavioso R.M., Giuliano Albo P.A., Lago S., Madonna Ripa D., Spagnolo R. (2005). Int. J. Thermophys. 26:1667
J. P. M. Trusler, Physical Acoustics, Metrology of Fluids (Adam Hilger, Bristol, 1991), p. 7.
Tgeler Ch., Span R., Wagner W. (1999). J. Phys. Chem. Ref. Data 28:779
Setzmann U., Wagner W. (1991). J. Phys. Chem. Ref. Data 20:1061
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Bijedić, M., Neimarlija, N. Thermodynamic Properties of Gases from Speed-of-Sound Measurements. Int J Thermophys 28, 268–278 (2007). https://doi.org/10.1007/s10765-007-0147-5
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DOI: https://doi.org/10.1007/s10765-007-0147-5