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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Transcribed Image Text:b) 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 T,.
iii) Explain the result in ii) using Carnot's Theorem.
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