Homework_7 thermodynamics
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Mechanical Engineering
Date
Jan 9, 2024
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: Shyanne Smith
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Date
: 11/03/2023
Homework Assignment No. 7:
Solution
I.
Indicate whether the following statements are true or false
1. Exergy is not conserved in an actual process.
A: True
2. A closed system exergy balance consists of three major contributions: exergy change, exergy
transfer, and exergy destruction.
A: True
3. Exergy is destroyed by irreversibilities.
A: True
4. The units of exergy are the same as those of energy.
A: True
Same because enthalkpy change is also a component of exergy transfer process
2
5. Exergy transfer accompanying heat transfer is a function of the environment temperature and
the temperature of the boundary where heat transfer occurs.
A: True
6. To define exergy, we think of two systems: a system of interest and an exergy reference
environment.
A: True
7. When a closed system is at the dead state, it is in thermal and mechanical equilibrium with the
exergy reference environment, and the values of the system’s energy and thermomechanical
exergy are each zero.
B: False
Thermodynamic energy is not zero because at the dead state there is still chemical
exergy left.
8. The energy of an isolated system must remain constant, but its exergy can only increase.
B: False
Since entropy is produced in all actual processes, the only processes that can occur
are those for which the entropy of the isolated system increases; this is known as the
increase of entropy principle.
9. Exergy destruction is proportional to entropy production.
A: True
10. Like entropy, exergy is produced by action of irreversibilities.
B: False
II.
Checking understanding
1.
When the exergy of a system increases, its state moves ____away_______the dead state.
2.
The following term reduces to zero within the steady-state form of the closed system
exergy rate balance.
a)
The time rate of the change of exergy within the closed system
b)
The time rate of exergy transfer by work
3
c)
The time rate of exergy transfer by heat
d)
The time rate of exergy destruction
3.
Which of the following are true statements about a system at the dead state?
a)
It is in thermal equilibrium with the environment.
b)
It is in mechanical equilibrium with the environment.
c)
Thevalueofthethermomechanicalcontributiontoexergyiszero.
d)
All of the above.
4.
For a closed system, as the exergy reference environment
temperature____increases______, the exergy destruction rate decreases.
III. Refrigerant 134a initially at -36 °C fills a rigid vessel. The refrigerant is heated until the
temperature becomes 25 °C and the pressure is 1 bar. There is no work during the process.
For the refrigerant, determine the heat transfer per unit mass and the change in specific
exergy, each in kJ/kg. Let T0 = 20°C, p0 = 0.1 MPa and ignore the effects of motion and
gravity.
Solution
(use problem-solving techniques for this problem
, KNWN, FIND, …
)
KNOWN: T1= -36°C T2=25°C P2= 1bar
ambient temperature=20°C ambient pressure= 0.1MPa
FIND:heat transfer per unit mass and change in specific exergy
SCHEMATIC/DATA: given in problem
ENGINEERING MODEL:
From the properties table of Refrigerant 134a at T2=25
∘
C and
P2=1 bar
specific internal energy is u2=250.61 kJkg
specific volume is v2=0.23783 m3kg
specific entropy is s2=1.0976 kJkg
⋅
K
ANALYSIS:
Now, the volume and mass of refrigerant in the vessel remains constant
so, specific volume remains constant
initial specific volume is v1=v2=0.23783 m3kg
From the properties table of Refrigerant 134a at T1=
−
36
∘
C:
the specific volume of saturated liquid is vf=0.0007111 m3kg
the specific volume of saturated vapor is vg=0.29740 m3kg
the specific internal energy of the saturated liquid is uf=4.987 kJkg
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