Chapter 11 | 625
and
The enthalpy at state 9 is determined from an energy balance on the mixing
chamber,
Also, s 9 0.9416 kJ/kg · K. Thus the enthalpy at state 4 (0.8 MPa, s 4
s 9 ) is h 4 274.48 kJ/kg. Substituting,
(c) The coefficient of performance is
Discussion This problem was worked out in Example 11–1 for a single-stage
refrigeration system (COP 3.97) and in Example 11–3 for a two-stage cas-
cade refrigeration system (COP 4.46). Notice that the COP of the refriger-
ation system increased considerably relative to the single-stage compression
but did not change much relative to the two-stage cascade compression.
COPR
qL
win
146.3 kJ>kg
32.71 kJ>kg
4.47
32.71 kJ/kg
win 11 0.2049 231 255.93239.16 2 kJ>kg 4 1 274.48255.10 2 kJ>kg
h 9 1 0.2049 21 251.88 2 11 0.2049 21 255.93 2 255.10 kJ>kg
112 h 9 x 6 h 3 11 x 62 h 2
E
#
outE
#
in
winwcomp I,inwcomp II,in 11 x 621 h 2 h 12 1121 h 4 h 92
8
7
2
1
T
s
4
5
6
h 7 = 55.16 h 6 = 95.47^9
h 4 = 274.48 kJ/kg
h 2 = 255.93
h 9 = 255.10
h 1 = 239.16
h 8 = 55.16
h 3 = 251.88^3
h 5 = 95.47
FIGURE 11–13
T-sdiagram of the two-stage
compression refrigeration cycle
described in Example 11–4.
Multipurpose Refrigeration Systems
with a Single Compressor
Some applications require refrigeration at more than one temperature. This
could be accomplished by using a separate throttling valve and a separate
compressor for each evaporator operating at different temperatures. However,
such a system is bulky and probably uneconomical. A more practical and