Re-optimisation of Otto power cycles working with ideal quantum gases

To analyse the effect of quantum degeneracy of a working gas on the work op timisation of an ideal gas cycle, Otto power cycles working with ideal Bose and Fermi type quantum gases are considered. They are called Bose and Ferm i Otto cycles respectively. Expressions. for their net work outputs per cyc le are derived by using the corrected ideal gas equation of state, which co nsiders the quantum degeneracy of the working gas. For Bose and Fermi Otto cycles, the maximum net work output condition (MWOC) is re-derived. It is s een that this condition is different from that of the classical Otto cycle, which works with classical ideal gases. Therefore, expressions for maximum work output and efficiency at MWOC become different from their classical e xpressions. These new expressions are more general expressions which are va lid under both classical and quantum ideal gas conditions. It is shown that maximum work output and efficiency at MWOC of a Bose Otto cycle can be hig her than that of a classical Otto cycle. On the other hand, both quantities of the Fermi Otto cycle are always lower than their classical values.