Compressed air with a flowrate of 7 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 9 bar and the temperature of the air is 403 K. From 1-2 the air passes through a heat exchanger which increases its temperature to 952 K. From 2-3 the air passes through a turbine, with a pressure ratio of 3 (i.e. bevelled p subscript 2 over p subscript 3 equals 3). This first turbine has an isentropic efficiency of 60%. From 3-4 the air passes through a second heat exchanger, which increases its temperature back up to 952 K. From 4-5 the air passes through a second turbine with a pressure ratio of 3 and an isentropic efficiency of 80%. The properties of air are: cp = 1.005 kJ/kgK, cv = 0.718 kJ/kgK, R = 0.287 kJ/kgK, and gamma= 1.4. Select the correct value for each of the following values: The heat transfer to the air in the first heat exchanger (i.e. Q with dot on top subscript 12) in kW: The temperature of the air leaving the first turbine if it were perfectly isentropic (i.e. T to the power of vertical line subscript 3) in K: The actual temperature of the air leaving the first turbine (i.e. T subscript 3) in K: The actual temperature of the air leaving the second turbine (i.e. T subscript 5) in K: The magnitude of the net rate of work transfer from the system in kW: The change in specific entropy of the air between the start and end of the system in J/kgK:

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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Compressed air with a flowrate of 7 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 9 bar and the temperature of the air is 403 K. From 1-2 the air passes through a heat exchanger which increases its temperature to 952 K. From 2-3 the air passes through a turbine, with a pressure ratio of 3 (i.e. bevelled p subscript 2 over p subscript 3 equals 3). This first turbine has an isentropic efficiency of 60%. From 3-4 the air passes through a second heat exchanger, which increases its temperature back up to 952 K. From 4-5 the air passes through a second turbine with a pressure ratio of 3 and an isentropic efficiency of 80%. The properties of air are: cp = 1.005 kJ/kgK, cv = 0.718 kJ/kgK, R = 0.287 kJ/kgK, and gamma= 1.4. Select the correct value for each of the following values: The heat transfer to the air in the first heat exchanger (i.e. Q with dot on top subscript 12) in kW: The temperature of the air leaving the first turbine if it were perfectly isentropic (i.e. T to the power of vertical line subscript 3) in K: The actual temperature of the air leaving the first turbine (i.e. T subscript 3) in K: The actual temperature of the air leaving the second turbine (i.e. T subscript 5) in K: The magnitude of the net rate of work transfer from the system in kW: The change in specific entropy of the air between the start and end of the system in J/kgK:

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