U(T) for Incompressible Liquids

Incompressible
Liquids & Solids

:
Increasing T increases molecular vibrations, rotation and translation
Therefore, U increases as well.
Changes in P do not affect U because the molar volume of an incompressible substance is not affected by changes in pressure.
Consequently, there is no change in the extent or nature of molecular interactions and therefore U does not change either.
U = U(T)
U as a Function of T at Constant P
U
T
Internal energy is a strong function of temperature.
U increases rapidly with temperature.
U as a Function of P at Constant T
U
P
Internal energy is not a function of pressure.
U increases rapidly with temperature.
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Ch 3, Lesson A, Page 4 - U(T) for Incompressible Liquids