A cycle starts with an adiabatic compression of the air from state a with a volume V3 to state b with volume V1. At the end of the compression, heat is added (absorbed), resulting in an isobaric expansion to state c with volume V2 followed by an adiabatic expansion back to volume V3 at state d. Finally, heat is expelled, corresponding to an isochoric reduction completing the cycle and bringing air back to state a. The thermodynamic identity is given by dU = T dS − P dV. The constant values for the entropy during the adiabatic compression and expansion are S1 and S2, respectively. Illustrate the cycle on a T S diagram labelling states a, b, c and d then find
A cycle starts with an adiabatic compression of the air from state a with a volume V3 to state b with volume V1. At the end of the compression, heat is added (absorbed), resulting in an isobaric expansion to state c with volume V2 followed by an adiabatic expansion back to volume V3 at state d. Finally, heat is expelled, corresponding to an isochoric reduction completing the cycle and bringing air back to state a.
The
Illustrate the cycle on a T S diagram labelling states a, b, c and d then find an expression for the temperature T as a function of entropy S for the isobaric and isochoric strokes of the cycle (engine).
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