Complete Analysis of a Refrigerator Goal Solve for the performance coefficient of a refrigerator using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energy- Change. 4. Identifying the heat input (cold reservoir) and output (hot reservoir). 5. Calculating the performance coefficient of the refrigerator. P isothermal Problem Shown in the figure to the right is a cyclic process undergone by a refrigerator. Your refrigerator shall use 10.0 moles of helium gas (monatomic). During the process a->b, the volume increases by a factor of 3.0. T = 300 K P, = 100,000 Pa Refrigerator Cycle Solution (1) Fill in the State Table (all Pascals, all volumes in cubic meters, all ssures in Pressure Volume Temperature 100000 24942 300 temperatures in K). a 100000 .74862 900 300000 24942 900 Work Heat du a- 49884 124710 74835 >b (2) Fill in the Process Table (all entries in b- -82204.7 -82204.7 Joules). >c C- -74835 >a Work = (3) Find the Totals: Heat = dU = Q-hot = (4) Find the heat input (from "cold reservoir") and the heat output (to "hot reservoir"): Q-cold = (5) Find the performance coefficient of the refrigerator: Coefficient = 10.0.0. .0.0.0. 10,0,0, 0.0.0 11,0,0.
Complete Analysis of a Refrigerator Goal Solve for the performance coefficient of a refrigerator using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energy- Change. 4. Identifying the heat input (cold reservoir) and output (hot reservoir). 5. Calculating the performance coefficient of the refrigerator. P isothermal Problem Shown in the figure to the right is a cyclic process undergone by a refrigerator. Your refrigerator shall use 10.0 moles of helium gas (monatomic). During the process a->b, the volume increases by a factor of 3.0. T = 300 K P, = 100,000 Pa Refrigerator Cycle Solution (1) Fill in the State Table (all Pascals, all volumes in cubic meters, all ssures in Pressure Volume Temperature 100000 24942 300 temperatures in K). a 100000 .74862 900 300000 24942 900 Work Heat du a- 49884 124710 74835 >b (2) Fill in the Process Table (all entries in b- -82204.7 -82204.7 Joules). >c C- -74835 >a Work = (3) Find the Totals: Heat = dU = Q-hot = (4) Find the heat input (from "cold reservoir") and the heat output (to "hot reservoir"): Q-cold = (5) Find the performance coefficient of the refrigerator: Coefficient = 10.0.0. .0.0.0. 10,0,0, 0.0.0 11,0,0.
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Transcribed Image Text:Complete Analysis of a Refrigerator
Goal Solve for the performance coefficient of a refrigerator using
a five-step process the includes:
1. Making a state table.
2. Making a process table.
3. Calculating the totals for Work, Heat, and Internal-Energy-
Change.
4. Identifying the heat input (cold reservoir) and output (hot
reservoir).
5. Calculating the performance coefficient of the refrigerator.
P
isothermal
b
Problem Shown in the figure to the right is a cyclic process
undergone by a refrigerator. Your refrigerator shall use 10.0
moles of helium gas (monatomic). During the process a->b, the
volume increases by a factor of 3.0.
V
T, = 300 K
P, = 100,000 Pa
Refrigerator Cycle
Solution
(1) Fill in the State Table (all pressures in
Pascals, all volumes in cubic meters, all
Pressure
Volume
Temperature
100000
.24942
300
temperatures in K).
a
100000
74862
900
300000
.24942
900
Work
Heat
du
a-
49884
124710
74835
>b
(2) Fill in the Process Table (all entries in
Joules).
b-
-82204.7
-82204.7
>c
C-
-74835
>a
Work =
(3) Find the Totals:
Heat =
dU =
Q-hot =
(4) Find the heat input (from "cold reservoir")
and the heat output (to "hot reservoir"):
Q-cold =
(5) Find the performance coefficient of the
refrigerator:
Coefficient =
.0.0.
0,0.0.
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