U, V, and T: Internal Energy, Specific Volume, and Temperature

Thread starter gikiian
Start date Dec 16, 2011
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Energy Internal Internal energy Specific Temperature Volume

AI Thread Summary

Internal energy (u), specific volume (v), and temperature (T) are fundamental thermodynamic properties. Specific volume is defined as volume per unit mass, which complicates the calculation of internal energy if total mass is unknown. To determine internal energy, one must have the total mass to utilize the relationship between specific volume and internal energy. If total mass is known, internal energy can be calculated by integrating the heat capacity at constant volume (Cv) with respect to temperature from absolute zero to the current temperature. Understanding these relationships is crucial for accurate thermodynamic analysis.

Dec 16, 2011

gikiian

u denotes internal energy;
v denotes specific volume;
T denotes temperature.

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Dec 17, 2011

Curl

From that information, you can't. You want the find internal energy but all you know is specific volume, which is volume per unit mass, meaning you don't know the total mass.

If you did, however, you can find U by integrating Cv(T)dT from T=0 to current T.

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