Consider a four-stage engine whose working fluid is one mole of a gas whose molecules have five degrees of freedom each. It starts at temperature T1, expands isobarically until the temperature rises to T2, expands adiabatically until the temperature falls to T3 (>T1), and undergoes isochoric heat removal until the temperature falls back to T1 and then isothermal compression back to the starting point.
(a) Calculate the heat added ∆Q and the work done ∆W during each stage of this cycle interms of T1, T2, T3.
(b) Sketch the cycle on a p–V diagram.
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(c) Sketch the cycle on a T–S diagram.