ISSN : 0970 - 020X, ONLINE ISSN : 2231-5039
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Abstract

Temperature Dependent Equation of State for Solids

Monika Goyal and B. R. K. Gupta

DOI : http://dx.doi.org/10.13005/ojc/320449


Abstract:

The temperature dependent equation of state(EOS) is developed in the present work to analyze the thermo-elastic properties of solids. The new EOS is formulated by modifying the pressure dependent form of EO Sreported recently by the present authors to explain the elastic behavior of nano materials. The values of thermal expansion are calculated for NaCl as an example using the newly formulation under varying temperature conditions from 298 K -773K and compared with the available experimental data. An excellent agreement is obtained between the calculated results and the experimental data.The model is extended for the study of bulk modulus and thermal expansion coefficient of Na Clover the temperature range 298 K to 773K. The results so calculated are found in close agreement with the experimental data. Further the model is applied to study the volume compression in NaCl solid over the pressure ranging from 0 to 30 GPa at different isotherms. The calculated values of compression are achieved in excellent agreement with the experimental data. The present model theory is thus applicable to explain the thermo-elastic properties of solids satisfactorily under high temperature and high pressure.

Keywords:

Thermal expansion; thermal expansion coefficient; volume compression; equation of state; Bulk modulus

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