For a homogeneous (single-phase) simple pure substance,

Chapter 12, Problem 86P

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12-86 For a homogeneous (single-phase) simple pure substance, the pressure and temperature are independent properties, and any property can be expressed as a function of these two properties. Taking \(v=v(P, T)\), show the change in specific volume can be expressed in terms of the volume expansivity \(\beta \) and isothermal compressibility \(\alpha\) as

\(\frac{d v}{v}=\beta d T=\alpha d P\)

Equation Transcription:

Text Transcription:

v=v(P, T)

\beta

\alpha

\frac{d v v=\beta d T=\alpha d P

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