Internal energy change of ideal gas via temperature

The internal energy of an ideal gas depends solely on its temperature and the number of gas particles and is independent of other thermodynamic quantities such as pressure or density.

Notation:

  1. \(d\) denotes an exact, path-independent differential.

Links:

  1. Wikipedia, equivalent formula.

internal_energy_change

Infinitesimal change in internal_energy of the system.

Symbol:

dU

Latex:

\(dU\)

Dimension:

energy

isochoric_heat_capacity

heat_capacity at constant volume.

Symbol:

C_V

Latex:

\(C_{V}\)

Dimension:

energy/temperature

temperature_change

Infinitesimal change in temperature of the system.

Symbol:

dT

Latex:

\(dT\)

Dimension:

temperature

law

dU = C_V * dT

Latex:
\[dU = C_{V} dT\]