A heat engine constructed with one mole of an ideal monatomic gas operates on a re- versible cycle a → b → c → d → a. The system goes from a → b in a ischoric process from temperature T¡ to T2 < T1. The system is then compressed in an isothermal process b → c with a compression ratio of 6. A second isochoric process c → d takes the system back to temperature T after which a final isothermal process d → a returns the system to its original state. i) By applying the First Law of Thermodynamics, calculate the heat flows, including signs, in each leg of the cycle in terms of T and T2. ii) Calculate the efficiency of the heat engine nɛ and compare it to the efficiency of a Carnot engine operating between T and T2. iii) Explain the result in ii) using Carnot's Theorem.

A heat engine constructed with one mole of an ideal monatomic gas operates on a re- versible cycle a → b → c → d → a. The system goes from a → b in a ischoric process from temperature T¡ to T2 < T1. The system is then compressed in an isothermal process b → c with a compression ratio of 6. A second isochoric process c → d takes the system back to temperature T after which a final isothermal process d → a returns the system to its original state. i) By applying the First Law of Thermodynamics, calculate the heat flows, including signs, in each leg of the cycle in terms of T and T2. ii) Calculate the efficiency of the heat engine nɛ and compare it to the efficiency of a Carnot engine operating between T and T2. iii) Explain the result in ii) using Carnot's Theorem.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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