Abstract: The equation of state for an ideal Bose gas is derived by using the expressions of the pressure and particle number of an ideal Bose gas. Basing on the equation of state and the thermodynamic properties of an ideal Bose gas, one can obtain the general expressions of the efficiency and work output of a Brayton power cycle using an ideal Bose gas as the working substance. The effect of quantum degeneracy on the performance of the cycle under quantum degeneracy conditions is analyzed. It is shown that the work output of a Brayton heat engine working with ideal Bose gases is greater that of a classical Brayton cycle and the quantum degeneracy of the gas does not affect the efficiency of the cycle. The results obtained here may provide theoretical basis for the design of a Brayton cycle working under quantum degeneracy conditions.

Key words: Brayton cycle, Bose gas, heat engine efficiency, quantum degeneracy, maximum work output