Problem 5-Thermodynamics A refrigerator operates with a Coefficient of Performance COP = 3 and a constant power P = 1 kWatt. 100 liters of water are placed inside the refrigerator, and nothing else. The initial water temperature is Twater = 20 °C. (a) Find the time it takes for the water to freeze completely. (b) Find the entropy change of water and the total entropy change, assuming that the temperature of the surrounding environment is TH = 20 °C. (c) If TH= 20 °C and T₁ = 0 °C, find the COP of an ideal refrigerator operating according to the Carnot cycle.

Principles of Physics: A Calculus-Based Text
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Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics
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Problem 5-The modynamics
(a)
COP =
and W=Pt
In order to freese 100 I of water with
mitial temperature Twater, we must extract
from the water
t=
QL
W
Q₁ = M₂ COT + mos har
-100 kg (2080)
1.0x 10 kcal
The time it takes is obtained from
Therefor
COP-P
1.4 x 10"s
Aswater -
Therefore
COP ideal
1.0x10 Keal
273 k
=
Tost #1
AS tot - ( 5 1 - 4) 2/12 - 0.24 2
* 9.0 kcal
k
(C) For a carrot refrigerador, q= 1
QH-QL
=
44
273 k
20 k
negatire
10x 10 Kest ixiled is The charge of extrogy of the environment it
Reas
3x 1 kwat
positive
37 X
T₂
= 14.
(b) Use QH = Nt Q₁ = (1 + = 2 ) QL
놓아
The entropy charge of water is
QH =
TL
Aswater - Muc ln - M
AS
where Tip= 273 K and Tw = 293k.
We can approximate
dvd so
-10-
AS water-
ان
4
Transcribed Image Text:Problem 5-The modynamics (a) COP = and W=Pt In order to freese 100 I of water with mitial temperature Twater, we must extract from the water t= QL W Q₁ = M₂ COT + mos har -100 kg (2080) 1.0x 10 kcal The time it takes is obtained from Therefor COP-P 1.4 x 10"s Aswater - Therefore COP ideal 1.0x10 Keal 273 k = Tost #1 AS tot - ( 5 1 - 4) 2/12 - 0.24 2 * 9.0 kcal k (C) For a carrot refrigerador, q= 1 QH-QL = 44 273 k 20 k negatire 10x 10 Kest ixiled is The charge of extrogy of the environment it Reas 3x 1 kwat positive 37 X T₂ = 14. (b) Use QH = Nt Q₁ = (1 + = 2 ) QL 놓아 The entropy charge of water is QH = TL Aswater - Muc ln - M AS where Tip= 273 K and Tw = 293k. We can approximate dvd so -10- AS water- ان 4
(c) Find the total entropy change (meteorite plus sea). Is it positive or negative?
Problem 5-Thermodynamics
A refrigerator operates with a Coefficient of Performance COP = 3 and a constant power P = 1 kWatt. 100 liters of water are placed inside the refrigerator,
and nothing else. The initial water temperature is Twater = 20 °C. (a) Find the time it takes for the water to freeze completely. (b) Find the entropy change of
water and the total entropy change, assuming that the temperature of the surrounding environment is TH = 20 °C. (c) If TH= 20 °C and T₁ = 0 °C, find the COP
of an ideal refrigerator operating according to the Carnot cycle.
Transcribed Image Text:(c) Find the total entropy change (meteorite plus sea). Is it positive or negative? Problem 5-Thermodynamics A refrigerator operates with a Coefficient of Performance COP = 3 and a constant power P = 1 kWatt. 100 liters of water are placed inside the refrigerator, and nothing else. The initial water temperature is Twater = 20 °C. (a) Find the time it takes for the water to freeze completely. (b) Find the entropy change of water and the total entropy change, assuming that the temperature of the surrounding environment is TH = 20 °C. (c) If TH= 20 °C and T₁ = 0 °C, find the COP of an ideal refrigerator operating according to the Carnot cycle.
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