Contributions to the Data on Theoretical Metallurgy: [Part] 11. Entropies of Inorganic Substances: Revision (1948) of Data and Methods of Calculation Page: 18
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18 CONTRIBUTIONS TO DATA ON THEORETICAL METALLURGY
Abbreviating equations (51) and (52) to S-=-S (Einstein), the
relationships of this section may be summarized as follows:
S=3/2 R In M+3/2 R In T+R In V+S,-11.074. (53)
S=3/2 R In M+5/2 R In T- R In P+S.-2.314. (54)
S98.s,,=3/2 R In M+S,+25.996. (55)
Diatomic and linear, polyatomic gases
8=3/2 R In M+5/2 R In T+R In V+R In I-R In a+2S (Einstein)
+So+ 166.625. (56)
S=3/2 R In M+7/2 R In T-R In P+R In I-R In a+ZS (Einstein)
+S+ 175.385. (57)
828.16e=3/2 R In M+R In I-R In a+ZS (Einstein) +S"+215.019. (58)
Nonlinear, polyatomic gases
S=3/2 R In M+ 3 R In T+R In V+1/2 R In 111,I,3-R In +
2; S (Einstein) + S+256.613. (59)
8=3/2 R In M+4 R In T-R In P+1/2 R In 1112I3-R In a+
2; S (Einstein) +S +265.372. (60)
S29s.16=3/2 R In M+ 1/2 R In 11213-R In a+
2 S (Einstein) +S:+310.668. (61)
These equations are for the perfect gas state. The units are V in
cubic centimeters, P in atmospheres, T in degrees Kelvin, M in grams,
and I in gram-centimeters squared. Equations (55), (58), and (61)
are for a pressure of 1 atmosphere. The equations containing P are
obtained from those containing V by means of the relationship
Table 5 compares values computed from these equations, S9s8.16
(m. c.), with those obtained from spectroscopic data, S298 16 (spec.),
and from low-temperature heat-capacity data, S98s.1 (t. 1.). The
moments of inertia and vibration frequencies are listed in the next
section where the calculations are considered in more detail. Many
additional similar comparisons may be made, but table 5 is restricted
to gases of metallurgical importance. The procedure followed in
arriving at the values given for H2 and H20 based upon low-tempera-
ture heat-capacity data may be questioned, but it is considered here
that both the nature and the magnitude of the correction appliedhave
been established by experiment.
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Kelley, K. K. Contributions to the Data on Theoretical Metallurgy: [Part] 11. Entropies of Inorganic Substances: Revision (1948) of Data and Methods of Calculation, report, 1950; Washington D.C.. (https://digital.library.unt.edu/ark:/67531/metadc12637/m1/22/: accessed April 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.