# Specific heats of degenerate ideal gases

## TL;DR

This paper estimates the molar specific heats of degenerate ideal gases at low temperatures using quantum principles and discusses Bose-Einstein condensation based on specific heat behavior.

## Contribution

It introduces a quantum-based estimation method for specific heats of degenerate gases and explores Bose-Einstein condensation phenomena.

## Key findings

- Specific heats align with the third law of thermodynamics.
- Bose-Einstein condensation is linked to specific heat behavior.
- Estimates are consistent with quantum principles.

## Abstract

From arguments based on Heisenberg's uncertainty principle and Pauli's exclusion principle, the molar specific heats of degenerate ideal gases at low temperatures are estimated, giving rise to values consistent with the Nerst-Planck Principle (third law of Thermodynamics). The Bose-Einstein condensation phenomenon based on the behavior of specific heat of massive and non-relativistic boson gases is also presented.