Module 1 : Classical Thermodynamics

Lecture 6 : Thermodynamic Relations - II

Energy Equation

For a system undergoing an infinitesimal reversible process between two equilibrium states, the change in internal energy is

dU = Tds - pdV

1.155

Substituting the first T - dS relation,

1.156


1.157

If U = U(T, V), then

1.158

Comparing Eq. (1.157) with Eq. (1.158),

1.159

Eq. (1.159) is known as the energy equation.