Assessment of bulk modulus, thermal expansion and heat capacity of minerals

Details Assessment of bulk modulus, thermal expansion and heat capacity of minerals Assessment of bulk modulus, thermal expansion and heat capacity of minerals

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gecoa..53..785s&link_type=abstract

Geochimica et Cosmochimica Acta, vol. 53, Issue 4, pp.785-789

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Scientific paper

Since the heat capacity of a solid at constant pressure ( C P ) is related to the isothermal bulk modulus ( K T ) and isobaric thermal expansion ( P ), an assessment of the experimental data on these properties is necessary to establish the internal consistency of a thermodynamic data set. Through suitable formulations of the temperature dependence of bulk modulus, thermal expansion and heat capacity at constant volume ( C V ) and the application of non-linear programming techniques, it is possible to assess the internal consistency of these data and the measured heat capacity at constant pressure. Such optimization of the data on periclase has been performed with the following results: P = 0.3754 × 10 -4 + 0.791 × 10 -8 T - 0.784 T -2 + 0.9148 T -3 (11) K T = 1.684 × 10 6 -241 T - 0.056 T 2 + 0.167 × 10 -4 T 3 ( bar ) (12) C V = 48.02 - 0.572 × 10 6 T (13) -2 - 0.4876 × 10 11 T -4 - 0.1502 × 10 12 T -6 + 0.9836 × 10 20 T -8 V (1, 298) = 11.245 (cm 3 /mol). (14) If appropriate C P data are available, it is possible to estimate the temperature dependence of P and K T for any solid. In suitable cases, the method may be used through a combination of the data on C P and phase equilibrium to calculate K t , its pressure derivative and thermal expansion. Such optimized data for brucite are: H 0 f (1, 298.15) = -924620, S 0 (1, 298.15) = 64.08 P = 0.1002 E - 4 + 0.1468 E - 7 T + 1.8606 T -2 (18) k t = 0.5712 Mb , ( K T / P ) = 4.712 C v = 118.58 - 0.639 E + 7 T -2 + 0.34574 E + 12 T -4 - 0.10538 E + 17 T -6 . (19)

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