A gas power cycle uses air as the working fluid and has twe urbine sections as shown in the figgure below. The power produced by Turbine i is uned to drive the comprossor, and Tubine 2 produces output power W. Air enters the compressor with a emperature of 290 Kand a ma flow ate of 2 kg] (State Ik the air exits the compressor at 44SK (Sate 2 Heat is transfered from a high temperature thermal reservoir, T-1400 [K], to Heat Eachanger I atate .. The lemperature of the air is raised to 1100 [K) (State 3) as it flows through Heat Exchanger 1. The air enters Turbine I where it is expanded to State 4. The flow them proceeds to Tubine 2 and exi with a temperature of 500 (K] (Sate 5). Heat is then removed from the air through Heat Exchanger 2 at a rate Q which is mjectod the low-temperature thermal reservoir, T-200 (K) (a) Determine the temperature at the inlet to Turbine 2, T. (b) Calculate the power output from Turbine 2, W. (e) Calculate the rate of heat transfer to the air through Hleat Exchanger I, O. (4) Calculate the thermal efficiency of this a power cycle and detemine if the cycle is revensible, ineversible, or impossible. High wmperature eerve, T-1400 K)

Elements Of Electromagnetics
7th Edition
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yale L
15
A gas power cycle uses air as the working fluid and has two turbine sections as shown in the figare
below. The power produced by Turbine I is used to drive the compressor, and Turbine 2 produces
output power W. Air enters the compressor with a semperature of 290 K and a mass flow rate of
-2 (kgs] (State I); the air exits the compressor at 44SK (State 2). Heat is transferred from a high-
temperature thermal reservoir, Ta- 1400 [K), to Heat Exchanger 1 at a rate Q,- The lemperature of the
air is raised to 1100 [K] (State 3) as it flows through Heat Exchanger 1. The air enters Turbine I 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 rejectod to
the low-temperature thermal reservoir, TL-200 (K).
(A) Determine the temperature at the inlet to Turbine 2, Te
(b) Calculate the power output from Turbine 2, W.
(e) Calculate the rate of heat transfer to the air through Heat Exchanger 1, O-
(d) Caleulate the thermal efficiency na of this gas power cycle and detennine if the cycle is
reversible, imeversible, or impossible.
High temperature reserveir, T-1400 K)
High temperature reservoir, T-1400 [K]
Heat
Exchanger 1
T-1100 (K)
T 445 (K]
Compressor
Turbine 1
Turbine 2
T- 290 (K]
2 (kg/s)
Te 500 (K]
Heat
Exchanger 2
Low temperature reservoir, T-200 [K]
Transcribed Image Text:yale L 15 A gas power cycle uses air as the working fluid and has two turbine sections as shown in the figare below. The power produced by Turbine I is used to drive the compressor, and Turbine 2 produces output power W. Air enters the compressor with a semperature of 290 K and a mass flow rate of -2 (kgs] (State I); the air exits the compressor at 44SK (State 2). Heat is transferred from a high- temperature thermal reservoir, Ta- 1400 [K), to Heat Exchanger 1 at a rate Q,- The lemperature of the air is raised to 1100 [K] (State 3) as it flows through Heat Exchanger 1. The air enters Turbine I 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 rejectod to the low-temperature thermal reservoir, TL-200 (K). (A) Determine the temperature at the inlet to Turbine 2, Te (b) Calculate the power output from Turbine 2, W. (e) Calculate the rate of heat transfer to the air through Heat Exchanger 1, O- (d) Caleulate the thermal efficiency na of this gas power cycle and detennine if the cycle is reversible, imeversible, or impossible. High temperature reserveir, T-1400 K) High temperature reservoir, T-1400 [K] Heat Exchanger 1 T-1100 (K) T 445 (K] Compressor Turbine 1 Turbine 2 T- 290 (K] 2 (kg/s) Te 500 (K] Heat Exchanger 2 Low temperature reservoir, T-200 [K]
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