Suppose that the regenerative heat exchanger is only 80% efficient, i.e., only 80% of the heat exhausted in step (B) is absorbed in step (D). For an ideal gas working fluid (Cv = 5/2 R, R = 8.3145 J/mol K) operating with the heat reservoirs at Th = 400 K and Tc = 300 K, determine how much work per mol of working fluid is needed to supplement the regenerative heat exchanger in step (D) and ensure that the cycle is completed. What is the new ηcycle in light of this additional work requirement? (the answer does not need to be numeric)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Suppose that the regenerative heat exchanger is only 80% efficient, i.e., only 80% of the
heat exhausted in step (B) is absorbed in step (D). For an ideal gas working fluid (Cv = 5/2 R, R = 8.3145 J/mol K) operating with the heat reservoirs at Th = 400 K and Tc = 300 K, determine how much work per mol of working fluid is needed to supplement the regenerative heat exchanger in step (D) and ensure that the cycle is completed. What is the new ηcycle in light of this additional work requirement? (the answer does not need to be numeric)

The Stirling engine (invented in 1816 by Robert Stirling) is a heat engine that produces work
through cyclic compression and expansion of a gaseous working fluid, such as hot air. An idealized
cyclic process, aptly named the Stirling Cycle, for such an engine consists of four steps:
(A) isothermal expansion at the hot reservoir temperature, Th,
(B) isochoric (constant volume) heat rejection to a regenerative heat exchanger,
(C) isothermal compression at the cold reservioir temperature Tc, and
(D) isochoric heat absorption from the regenerative heat exchanger back to the initial state.
Transcribed Image Text:The Stirling engine (invented in 1816 by Robert Stirling) is a heat engine that produces work through cyclic compression and expansion of a gaseous working fluid, such as hot air. An idealized cyclic process, aptly named the Stirling Cycle, for such an engine consists of four steps: (A) isothermal expansion at the hot reservoir temperature, Th, (B) isochoric (constant volume) heat rejection to a regenerative heat exchanger, (C) isothermal compression at the cold reservioir temperature Tc, and (D) isochoric heat absorption from the regenerative heat exchanger back to the initial state.
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