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volume thermal expansion equation of state. This fact can be used to construct thermometers based on the expansion of a thin tube of mercury or alcohol. A p 1 V d V d T 1 V 1 p 1 p V 1 T displaystyle alpha _pequiv frac 1Vleftfrac dVdTrightfrac 1Vleftfrac 1prightfrac 1pVfrac 1T.
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In physics and thermodynamics an equation of state is a thermodynamic equation relating state variables which describe the state of matter under a given set of physical conditions such as pressure volume temperature PVT or internal energy. Taking the partial derivative with respect to P gives kT 1 Vm Vm. Full thermodynamic equilibrium values of volume fraction of martensitic phase zeq corresponding to ɛ T values of external state parameters can be determined with the formula z eq kLɛ aT T 0 rp 1 20 ϕ it kLk 2rϕ it obtained from 314 after simple manipulations.
This equation is usually written as D V vV D T where v is the coefficient of volume expansion and v 3a.
Note that the values of v in Table 1 are almost exactly equal to 3a. The volume temperature relationship and thermal expansivity data are required for investigating the Equation of State EoS and predicting the compression data of solids at high temperatures. Thermal expansion can also be regarded as a fractional change in size of a materialsubstance caused by a change of temperature. Dan Shim 심상헌 Acknowledgement.
