Question

the internal energy does not involve the following energy into consideration

Answer 1

Gravitational Energy.

Answer 2

Internal energy is defined as the energy associated with the random, disordered motion of molecules. It is separated in scale from the macroscopic ordered energy associated with moving objects; it refers to the invisible microscopic energy on the atomic and molecular scale. For example, a room temperature glass of water sitting on a table has no apparent energy, either potential or kinetic. But on the microscopic scale it is a seething mass of high speed molecules traveling at hundreds of meters per second.

The internal energy and enthalpy of ideal gases depends only on temperature, not on volume or pressure.