Relationship between Isobaric Volume Expansivity and Isothermal Compressibility

Isobaric volume expansivity and isothermal compressibility are two important thermodynamic properties that describe the response of a substance to changes in pressure and temperature. Isobaric volume expansivity is a measure of how much a substance’s volume increases in response to an increase in pressure at constant temperature, while isothermal compressibility is a measure of how much a substance’s volume decreases in response to an increase in temperature at constant pressure.

The relationship between isobaric volume expansivity and isothermal compressibility is that they are inversely proportional. This means that as one increases, the other decreases. The equation that expresses this relationship is:

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β = -1/κ
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Isobaric volume expansivity and isothermal compressibility are used in thermodynamics to calculate the change in volume of a substance in response to changes in pressure and temperature. They are also used to calculate the speed of sound in a substance.