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Tuesday, February 6, 2024

What is an Equation of State

A relationship between the pressure $P$, the temperature $T$, the volume $V$ and the moles of its components $n$.

If a system is heterogeneous (involving several phases or components) then each phase will have its own equation of state.

Two examples of equation of state are:

The equation of the ideal gas

$PV=nRT$

The equation of van der Waals

$\left( P+\dfrac{an2}{V2} \right)\left(V-nb\right)=nRT$

where $a$ and $b$ are constants different for every gas. Constant $a$ represent a measure of the strength of the intermolecular atraction while $b$ represents the molecular size.

Important comments

  • The laws of thermodynamics are so general that cannot be used to determine equations of state for a given system
  • Equations of state must be determined experimentally

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