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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
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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