Coefficient of volume expansion and isothermal compressibility
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The isothermal compressibility is defined by the fractional differential change in volume due to a change in pressure. The negative sign is important in order to keep the value of κT positive, since an increase in pressure will lead to a decrease in volume.
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In thermodynamics and fluid mechanics, compressibility (also known as the coefficient of compressibility or isothermal compressibility) is a measure of the relative volume change of a fluid or solid as a response to a pressure (or mean stress) change.
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