As shown in the figure below, two reversible cycles arranged in series each produce the same net work, Wcycle. The first cycle receives energy Q by heat transfer from a hot reservoir at TH= 1000°R and rejects energy Q by heat transfer to a reservoir at an intermediate temperature, T. The second cycle receives energy Q by heat transfer from the reservoir at temperature T and rejects energy Qc by heat transfer to a reservoir at Tc=400°R. All energy transfers are positive in the directions of the arrows. Hot reservoir at T₁ and cycle

Sustainable Energy
2nd Edition
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:DUNLAP, Richard A.
Chapter18: Energy Storage
Section: Chapter Questions
Problem 15P
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As shown in the figure below, two reversible cycles arranged in series each produce the same net work, Wcycle. The first cycle receives
energy QH by heat transfer from a hot reservoir at TH= 1000°R and rejects energy Q by heat transfer to a reservoir at an intermediate
temperature, T. The second cycle receives energy Q by heat transfer from the reservoir at temperature T and rejects energy Qc by
heat transfer to a reservoir at Tc = 400°R. All energy transfers are positive in the directions of the arrows.
Part A
T =
"RI =
"R2 =
i
i
Hot reservoir at T
°R
Reservoir
at T
%
in
Determine:
(a) the intermediate temperature T, in °R, and the thermal efficiency for each of the two power cycles.
(b) the thermal efficiency of a single reversible power cycle operating between hot and cold reservoirs at 1000°R and 400°R,
respectively. Also, determine the ratio of the net work developed by the single cycle to the network developed by each of the two
cycles, Wcycle-
R1
i im in z
Determine the intermediate temperature T, in °R, and the thermal efficiency for each of the two power cycles.
20
R2
Qc
Cold reservoir at Tc
W
cycle
cycle
Transcribed Image Text:As shown in the figure below, two reversible cycles arranged in series each produce the same net work, Wcycle. The first cycle receives energy QH by heat transfer from a hot reservoir at TH= 1000°R and rejects energy Q by heat transfer to a reservoir at an intermediate temperature, T. The second cycle receives energy Q by heat transfer from the reservoir at temperature T and rejects energy Qc by heat transfer to a reservoir at Tc = 400°R. All energy transfers are positive in the directions of the arrows. Part A T = "RI = "R2 = i i Hot reservoir at T °R Reservoir at T % in Determine: (a) the intermediate temperature T, in °R, and the thermal efficiency for each of the two power cycles. (b) the thermal efficiency of a single reversible power cycle operating between hot and cold reservoirs at 1000°R and 400°R, respectively. Also, determine the ratio of the net work developed by the single cycle to the network developed by each of the two cycles, Wcycle- R1 i im in z Determine the intermediate temperature T, in °R, and the thermal efficiency for each of the two power cycles. 20 R2 Qc Cold reservoir at Tc W cycle cycle
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