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This document presents a detailed examination of the thermal expansion coefficient and bulk modulus for a simple solid, applying basic principles of thermodynamics and material science. We explore the relationships governing thermal expansion and pressure changes under constant conditions, with specific numerical examples that illustrate these relationships. By establishing the proportionality constants for thermal expansion and bulk modulus, we aim to provide clear insights into their interdependencies, while showcasing how these principles apply to various materials, including air and iron.
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x 0 T2=T1+ A x Thermal expansion coefficient and bulk modulus P=const x x Proportionality constant defines 0 T1 Thermal expansion coefficient
x 0 A x x P1 P2=P1+P 0 x Proportionality constant defines T=const. T=const. Bulk modulus
air iron Let’s calculate the thermal expansion and bulk modulus for our simple solid where and Bulk modulus 1 Thermal expansion coefficient 2 We show later that this relation holds in general independent of the special model of a simple solid but Numerical examples: