Entropy derivative via volume derivative

Maxwell relations are a set of equations that unite the most common thermodynamic quantities between one another. They are derived from the fundamental themodynamic relations featuring differentials of thermodynamic potentials, and this method of derivation is called the method of thermodynamic potentials.

Conditions:

1. Particle count must be constant.

Links:

1. Wikipedia, first table.

temperature

temperature of the system.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

pressure

pressure inside the system.

Symbol:

p

Latex:

\(p\)

Dimension:

pressure

entropy

entropy of the system as a function of temperature and pressure.

Symbol:

S(T, p)

Latex:

\(S{\left(T,p \right)}\)

Dimension:

energy/temperature

volume

volume of the system as a function of temperature and pressure.

Symbol:

V(T, p)

Latex:

\(V{\left(T,p \right)}\)

Dimension:

volume

law

Derivative(S(T, p), p) = -Derivative(V(T, p), T)

Latex:

\[\frac{\partial}{\partial p} S{\left(T,p \right)} = - \frac{\partial}{\partial T} V{\left(T,p \right)}\]