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6. THERMODYNAMIC RELATIONS FOR PROPERTY ESTIMATIONS 291
FIG. 6.41—Prediction of constant volume heat capacity
of 69 mol% methane and 31 mol% ethane gas at 260 K from
RK EOS using parameters from velocity of sound data. FIG. 6.43—Prediction of liquid heat capacity of n-octane at
100 bar from PR EOS using parameters from velocity of sound
data.
to calculate various physical properties errors very similar
to those obtained from original parameters are obtained as of sound for liquids can be estimated from original PR param-
shown in Table 6.19 [8]. Predicted constant pressure heat ca- eters with AAD of 9.7%; while using parameters calculated
pacity from RK EOS with parameters determined from veloc- from sonic velocity, an error of 3.9% was obtained for 569
ity of sound for ethane a gas mixture of methane and ethane data points [8]. Graphical evaluations for prediction of liq-
is shown in Figs. 6.40 and 6.41, respectively. uid density of a mixture and constant volume heat capacity
Similarly sonic velocity data for some liquids from C 5 to C 10 of n-octane are shown in Figs. 6.42 and 6.43. Results shown
were used to calculate EOS parameters. Calculated α s and β s in these figures and Table 6.18 indicate that EOS parameters
parameters for use with PR EOS through Eq. (6.242) are also determined from velocity of sound are capable of predicting
given in Table 6.18. When EOS parameters from velocity of thermodynamic properties. It should be noted that data on ve-
sound are used to calculate C P of liquids ranging from C 5 locity of sound were obtained either for compounds as gases
to C 10 an average error of 6.4% is obtained in comparison or liquids but not for a single compound data on sonic veloc-
with 7.6% error obtained from original parameters. Velocity ity of both liquids and gases were available in this evaluation
FIG. 6.42—Prediction of liquid density of 10 mol% n-hexadecane
◦
and 90 mol% carbon dioxide at 20 C from PR EOS using parameters
from velocity of sound data.
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