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. Find the ratio between the initial and final temperatures for (1) the adiabatic compression, and (2) the adiabatic expansion in terms of the expansion ratio re = V3 /V2 and the compression ratio rc = V3 /V1.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.

Find the ratio between the initial and final temperatures for (1) the adiabatic compression, and (2) the adiabatic expansion in terms of the expansion ratio re = V3 /V2 and the compression ratio rc = V3 /V1.

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