18.7 21.4 24.4 30.2 37.9 44.5

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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53.1
64.4
68.6
489
523
atio of 3 (i.e 581
613
659
ge turbine
ir is 10 bar
reases its t
which increa
ssure ratio
18.7
21.4
24.4
30.2
37.9
44.5
= 0.287 kJ/k
683
711
744
773
808
er system as foll
re of the air is 4
K.
> first turbine ha
e back up to 90
pic efficiency of
!) in kW:
12
>erfectly isentropic (i.e. T') in K:
Transcribed Image Text:53.1 64.4 68.6 489 523 atio of 3 (i.e 581 613 659 ge turbine ir is 10 bar reases its t which increa ssure ratio 18.7 21.4 24.4 30.2 37.9 44.5 = 0.287 kJ/k 683 711 744 773 808 er system as foll re of the air is 4 K. > first turbine ha e back up to 90 pic efficiency of !) in kW: 12 >erfectly isentropic (i.e. T') in K:
Compressed air with a flowrate of 6 kg/min flows through a two-stage turbine and heat exchanger system as follows:
• At the entrance to the system (point 1), the pressure of the air is 10 bar and the temperature of the air is 459 K.
• From 1-2 the air passes through a heat exchanger which increases its temperature to 902 K.
• From 2-3 the air passes through a turbine, with a pressure ratio of 3 (i.e. P₂/P₂²
p=3). This first turbine has an isentropic efficiency of 65%.
• From 3-4 the air passes through a second heat exchanger, which increases its temperature back up to 902 K.
• From 4-5 the air passes through a second turbine with a pressure ratio of 3 and an isentropic efficiency of 90%.
The properties of air are: cp = 1.005 kJ/kgK, cv = 0.718 kJ/kgK, R = 0.287 kJ/kgK, and y = 1.4.
Select the correct value for each of the following values:
a. The heat transfer to the air in the first heat exchanger (i.e. Q) in kW:
12
b. The temperature of the air leaving the first turbine if it were perfectly isentropic (i.e. T¹_ ) in K:
3
c. The actual temperature of the air leaving the first turbine (i.e. T)in K:
d. The actual temperature of the air leaving the second turbine (i.e. T_¸) in K:
e. The magnitude of the net rate of work transfer from the system in kW:
f. The change in specific entropy of the air between the start and end of the system in J/kgK:
<
Transcribed Image Text:Compressed air with a flowrate of 6 kg/min flows through a two-stage turbine and heat exchanger system as follows: • At the entrance to the system (point 1), the pressure of the air is 10 bar and the temperature of the air is 459 K. • From 1-2 the air passes through a heat exchanger which increases its temperature to 902 K. • From 2-3 the air passes through a turbine, with a pressure ratio of 3 (i.e. P₂/P₂² p=3). This first turbine has an isentropic efficiency of 65%. • From 3-4 the air passes through a second heat exchanger, which increases its temperature back up to 902 K. • From 4-5 the air passes through a second turbine with a pressure ratio of 3 and an isentropic efficiency of 90%. The properties of air are: cp = 1.005 kJ/kgK, cv = 0.718 kJ/kgK, R = 0.287 kJ/kgK, and y = 1.4. Select the correct value for each of the following values: a. The heat transfer to the air in the first heat exchanger (i.e. Q) in kW: 12 b. The temperature of the air leaving the first turbine if it were perfectly isentropic (i.e. T¹_ ) in K: 3 c. The actual temperature of the air leaving the first turbine (i.e. T)in K: d. The actual temperature of the air leaving the second turbine (i.e. T_¸) in K: e. The magnitude of the net rate of work transfer from the system in kW: f. The change in specific entropy of the air between the start and end of the system in J/kgK: <
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