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
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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.
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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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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