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. Problem Shown in the figure to the right is a cyclic process undergone by a refrigerator. Your refrigerator shall use 7.0 moles of helium gas (monatomic). During the process a->b, the volume increases by a factor of 3.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: (4) Find the heat input (from "cold reservoir") and the heat output (to "hot reservoir"): a b C Pressure a->b b->c c->a Work Work = Heat = dU = Q-hot = Q-cold = T₂ Volume Heat a P₁ = 100,000 Pa Refrigerator Cycle J J J J J = 300 K isothermal du b Temperature

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Chapter12: Thermal Energy
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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.
Problem Shown in the figure to the right is a cyclic process undergone by
a refrigerator. Your refrigerator shall use 7.0 moles of helium gas
(monatomic). During the process a->b, the volume increases by a factor of
3.0.
Solution
(1) Fill in the State Table (all pressures in Pascals, all
volumes in cubic meters, all temperatures in K).
(2) Fill in the Process Table (all entries in Joules).
(3) Find the Totals:
(4) Find the heat input (from "cold reservoir") and
the heat output (to "hot reservoir"):
(5) Find the performance coefficient of the
refrigerator:
a
b
C
Pressure
a->b
b->c
c->a
Work
Work =
Heat =
dU =
Q-hot
Q-cold =
=
Coefficient =
P
T₂ = 300 K
a
Volume
P₁ = 100,000 Pa
Refrigerator Cycle
Heat
a
J
J
J
J
J
isothermal
du
b
Temperature
V
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. Problem Shown in the figure to the right is a cyclic process undergone by a refrigerator. Your refrigerator shall use 7.0 moles of helium gas (monatomic). During the process a->b, the volume increases by a factor of 3.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: (4) Find the heat input (from "cold reservoir") and the heat output (to "hot reservoir"): (5) Find the performance coefficient of the refrigerator: a b C Pressure a->b b->c c->a Work Work = Heat = dU = Q-hot Q-cold = = Coefficient = P T₂ = 300 K a Volume P₁ = 100,000 Pa Refrigerator Cycle Heat a J J J J J isothermal du b Temperature V
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Follow-up Question
(4) Find the heat input (from "cold reservoir") and
the heat output (to "hot reservoir"):
(5) Find the performance coefficient of the
refrigerator:
Q-hot
Q-cold
=
Coefficient =
J
J
Transcribed Image Text:(4) Find the heat input (from "cold reservoir") and the heat output (to "hot reservoir"): (5) Find the performance coefficient of the refrigerator: Q-hot Q-cold = Coefficient = J J
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