A gas power cycle uses air as the working fluid and has two turbine sections as shown in the figure below. The power produced by Turbine 1 is used to drive the compressor, and Turbine 2 produces output power W. Air enters the compressor with a temperature of 290 K and a mass flow rate of m = 2 (kg/s] (State 1); the air exits the compressor at 445K (State 2). Heat is transferred from a high- temperature thermal reservoir, T= 1400 [K], to Heat Exchanger 1 at a rate Q,. The temperature of the air is raised to 1100 [K] (State 3) as it flows through Heat Exchanger 1. The air enters Turbine 1 where it is expanded to State 4. The flow then proceeds to Turbine 2 and exits with a temperature of 500 [K] (State 5). Heat is then removed from the air through Heat Exchanger 2 at a rate Q, which is rejected to the low-temperature thermal reservoir, T. = 200 [K]. (a) Determine the temperature at the inlet to Turbine 2, T4. (b) Calculate the power output from Turbine 2, W. (c) Calculate the rate of heat transfer to the air through Heat Exchanger 1, Q- (d) Calculate the thermal efficiency 7, of this gas power cycle and determine if the cycle is reversible, irreversible, or impossible. High temperature reservoir, T = 1400 [K] Heat T;-1100 (K) T;- 445 (K) Exchanger 1 Compressor Turbine 1 Turbine 2 T;- 290 (K] m= 2 (kg/s] T- 500 (K) Heat Exchanger 2 Low temperature reservoir, 7-200 [K]
A gas power cycle uses air as the working fluid and has two turbine sections as shown in the figure below. The power produced by Turbine 1 is used to drive the compressor, and Turbine 2 produces output power W. Air enters the compressor with a temperature of 290 K and a mass flow rate of m = 2 (kg/s] (State 1); the air exits the compressor at 445K (State 2). Heat is transferred from a high- temperature thermal reservoir, T= 1400 [K], to Heat Exchanger 1 at a rate Q,. The temperature of the air is raised to 1100 [K] (State 3) as it flows through Heat Exchanger 1. The air enters Turbine 1 where it is expanded to State 4. The flow then proceeds to Turbine 2 and exits with a temperature of 500 [K] (State 5). Heat is then removed from the air through Heat Exchanger 2 at a rate Q, which is rejected to the low-temperature thermal reservoir, T. = 200 [K]. (a) Determine the temperature at the inlet to Turbine 2, T4. (b) Calculate the power output from Turbine 2, W. (c) Calculate the rate of heat transfer to the air through Heat Exchanger 1, Q- (d) Calculate the thermal efficiency 7, of this gas power cycle and determine if the cycle is reversible, irreversible, or impossible. High temperature reservoir, T = 1400 [K] Heat T;-1100 (K) T;- 445 (K) Exchanger 1 Compressor Turbine 1 Turbine 2 T;- 290 (K] m= 2 (kg/s] T- 500 (K) Heat Exchanger 2 Low temperature reservoir, 7-200 [K]
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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![A gas power cycle uses air as the working fluid and has two turbine sections as shown in the figure
below. The power produced by Turbine 1 is used to drive the compressor, and Turbine 2 produces
output power W. Air enters the compressor with a temperature of 290 K and a mass flow rate of
m = 2 [kg/s] (State 1); the air exits the compressor at 445K (State 2). Heat is transferred from a high-
temperature thermal reservoir, T = 1400 [K], to Heat Exchanger 1 at a rate Q,. The temperature of the
air is raised to 1100 [K] (State 3) as it flows through Heat Exchanger 1. The air enters Turbine 1 where
it is expanded to State 4. The flow then proceeds to Turbine 2 and exits with a temperature of 500 [K]
(State 5). Heat is then removed from the air through Heat Exchanger 2 at a rate Q, which is rejected to
the low-temperature thermal reservoir, Ti = 200 [K].
(a) Determine the temperature at the inlet to Turbine 2, T4.
(b) Calculate the power output from Turbine 2, W.
(c) Calculate the rate of heat transfer to the air through Heat Exchanger 1, Q.
(d) Calculate the thermal efficiency n, of this gas power cycle and determine if the cycle is
reversible, irreversible, or impossible.
High temperature reservoir, T = 1400 [K]
Heat
T;=1100 (K]
T;= 445 (K]
Exchanger 1
Compressor
Turbine 1
Turbine 2
T= 290 [K]
m = 2 (kg/s]
T;- 500 (K]
Heat
Exchanger 2
Low temperature reservoir, T=200 [K]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F329e2d48-745f-4077-8ff7-3777f8f81b88%2F6fd92017-db88-49d0-827a-a6c86e28b64a%2Flty600d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A gas power cycle uses air as the working fluid and has two turbine sections as shown in the figure
below. The power produced by Turbine 1 is used to drive the compressor, and Turbine 2 produces
output power W. Air enters the compressor with a temperature of 290 K and a mass flow rate of
m = 2 [kg/s] (State 1); the air exits the compressor at 445K (State 2). Heat is transferred from a high-
temperature thermal reservoir, T = 1400 [K], to Heat Exchanger 1 at a rate Q,. The temperature of the
air is raised to 1100 [K] (State 3) as it flows through Heat Exchanger 1. The air enters Turbine 1 where
it is expanded to State 4. The flow then proceeds to Turbine 2 and exits with a temperature of 500 [K]
(State 5). Heat is then removed from the air through Heat Exchanger 2 at a rate Q, which is rejected to
the low-temperature thermal reservoir, Ti = 200 [K].
(a) Determine the temperature at the inlet to Turbine 2, T4.
(b) Calculate the power output from Turbine 2, W.
(c) Calculate the rate of heat transfer to the air through Heat Exchanger 1, Q.
(d) Calculate the thermal efficiency n, of this gas power cycle and determine if the cycle is
reversible, irreversible, or impossible.
High temperature reservoir, T = 1400 [K]
Heat
T;=1100 (K]
T;= 445 (K]
Exchanger 1
Compressor
Turbine 1
Turbine 2
T= 290 [K]
m = 2 (kg/s]
T;- 500 (K]
Heat
Exchanger 2
Low temperature reservoir, T=200 [K]
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