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I need equations for Isothermal compressibility & Volume expansitivity in terms of temperature and pressure. Please help. It is for refrigerants in both liquid but especially gaseous phase.
Ade
Ade
Isothermal compressibility is a measure of how much a substance's volume changes in response to a change in pressure while maintaining a constant temperature. It is denoted by the symbol κ and is expressed in units of inverse pressure (usually, per pascal or per bar).
Volume expansivity is a measure of how much a substance's volume changes in response to a change in temperature while maintaining a constant pressure. It is denoted by the symbol α and is expressed in units of inverse temperature (usually, per kelvin).
Isothermal compressibility and volume expansivity are inversely related to each other. This means that as the compressibility of a substance increases, its expansivity decreases, and vice versa. In other words, substances that are easily compressed tend to have a low expansivity, and substances that are difficult to compress tend to have a high expansivity.
Isothermal compressibility and volume expansivity are important parameters in thermodynamics as they help in understanding the behavior of substances under different conditions of temperature and pressure. They also play a crucial role in the study of phase transitions, such as the liquid-gas transition, and in the calculation of thermodynamic properties, such as heat capacity and thermal expansion.
Isothermal compressibility and volume expansivity can be measured experimentally using various techniques, such as the oscillating-tube method and the piezometer method. In these methods, the change in volume of a substance is measured as a function of pressure or temperature, respectively. These measurements can then be used to calculate the isothermal compressibility and volume expansivity of the substance.