Explanation Given: The isentropic efficiency ( η T ) is 85 %. The pressure at inlet state ( P 1 ) is 2200 kPa. The temperature at inlet ( T 1 ) is 300°C. The outlet pressure ( P 2 ) is 200 kPa. Conclusion: Refer Table A-2b, “Ideal–gas specific heats of various common gases”, for the average temperature of 400 K. The specific heat constant at constant pressure ( c p ) of air is 1.013 kJ / kg ⋅ K The specific heat ratio ( k ) of air is 400 K is 1.395 . Calculate the isentropic final temperature using the isentropic relation of an ideal gas. T 2 s = T 1 ( P 2 P 1 ) ( k − 1 ) / k T 2 s = ( 300 ° C ) K ( 200 kPa 2200 kPa ) ( 1.395 − 1 ) / 1.395 = ( 300 + 273 ) K ( 200 kPa 2200 kPa ) ( 1.395 − 1 ) / 1.395 = 290.6 K Calculate the actual work output ( w a , o u t ) . w a , o u t = η T c p ( T 1 − T 2 s ) w a , o u t = 85 % ( 1.013 kJ / kg ⋅ K ) ( ( 300 + 273 ) K − 290.6 K ) = 85 ( 1 100 ) ( 1.013 kJ / kg ⋅ K ) ( ( 300 + 273 ) K − 290.6 K ) = 243.2 kJ / kg Thus, the work produced by this turbine is 243.2 kJ / kg . Write the expression for the energy balance equation of the system. E ˙ i n − E ˙ o u t = Δ E ˙ s y s t e m (I) Here, rate of net energy transfer inside the system is E ˙ i n , rate of net energy transfer from outside to system is E ˙ o u t , and rate of change of internal energy in the system is Δ E ˙ s y s t e m

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ISBN: 9780078027680

Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala

Publisher: McGraw-Hill Education

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Chapter 8, Problem 180RQ

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The actual outlet temperature of air and the work produced by this turbine

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Chapter 8, Problem 178RQ

Chapter 8, Problem 181RQ

Chapter 8 Solutions

Fundamentals of Thermal-Fluid Sciences

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Ch. 8 - Prob. 11P Ch. 8 - A piston–cylinder device contains superheated...Ch. 8 - The entropy of steam will (increase, decrease,...Ch. 8 - Prob. 14P Ch. 8 - Prob. 15P Ch. 8 - Prob. 16P Ch. 8 - Prob. 17P Ch. 8 - What three different mechanisms can cause the...Ch. 8 - A completely reversible heat engine operates with...Ch. 8 - Air is compressed by a 15-kW compressor from P1 to...Ch. 8 - Heat in the amount of 100 kJ is transferred...Ch. 8 - In Prob. 8–21, assume that the heat is transferred...Ch. 8 - Prob. 23P Ch. 8 - Prob. 24P Ch. 8 - Prob. 25P Ch. 8 - Prob. 26P Ch. 8 - Prob. 27P Ch. 8 - Is a process that is internally reversible and...Ch. 8 - Prob. 29P Ch. 8 - Prob. 30P Ch. 8 - Prob. 31P Ch. 8 - Prob. 32P Ch. 8 - An insulated piston–cylinder device contains 5 L...Ch. 8 - Prob. 34P Ch. 8 - Water vapor enters a turbine at 6 MPa and 400°C,...Ch. 8 - Prob. 36P Ch. 8 - Prob. 37P Ch. 8 - Prob. 38P Ch. 8 - Prob. 40P Ch. 8 - A rigid tank contains 5 kg of saturated vapor...Ch. 8 - Prob. 42P Ch. 8 - Determine the heat transfer, in kJ/kg, for the...Ch. 8 - Calculate the heat transfer, in Btu/lbm, for the...Ch. 8 - Prob. 46P Ch. 8 - Prob. 47P Ch. 8 - Prob. 49P Ch. 8 - Prob. 50P Ch. 8 - Prob. 51P Ch. 8 - 2-kg of saturated water vapor at 600 kPa are...Ch. 8 - Prob. 53P Ch. 8 - Prob. 54P Ch. 8 - Prob. 55P Ch. 8 - A piston–cylinder device contains 5 kg of steam at...Ch. 8 - Prob. 57P Ch. 8 - Prob. 58P Ch. 8 - Prob. 59P Ch. 8 - Prob. 60P Ch. 8 - Prob. 61P Ch. 8 - Prob. 62P Ch. 8 - Prob. 63P Ch. 8 - Prob. 65P Ch. 8 - Prob. 66P Ch. 8 - Prob. 67P Ch. 8 - Prob. 68P Ch. 8 - An ideal gas undergoes a process between two...Ch. 8 - Prob. 70P Ch. 8 - Prob. 71P Ch. 8 - Which of the two gases—helium or...Ch. 8 - Air is expanded from 2000 kPa and 500°C to 100 kPa...Ch. 8 - What is the difference between the entropies of...Ch. 8 - Prob. 75P Ch. 8 - Prob. 76P Ch. 8 - Prob. 77P Ch. 8 - Prob. 78P Ch. 8 - Air is compressed steadily by a 5-kW compressor...Ch. 8 - Prob. 81P Ch. 8 - A mass of 25 lbm of helium undergoes a process...Ch. 8 - Prob. 84P Ch. 8 - Prob. 85P Ch. 8 - Air at 3.5 MPa and 500°C is expanded in an...Ch. 8 - Prob. 87P Ch. 8 - Prob. 88P Ch. 8 - Prob. 89P Ch. 8 - Prob. 90P Ch. 8 - Prob. 91P Ch. 8 - Prob. 92P Ch. 8 - Prob. 93P Ch. 8 - Prob. 94P Ch. 8 - Prob. 95P Ch. 8 - Prob. 96P Ch. 8 - Prob. 97P Ch. 8 - Prob. 98P Ch. 8 - Prob. 99P Ch. 8 - Prob. 100P Ch. 8 - Prob. 101P Ch. 8 - Prob. 102P Ch. 8 - Prob. 103P Ch. 8 - Prob. 104P Ch. 8 - Prob. 105P Ch. 8 - Prob. 106P Ch. 8 - Prob. 107P Ch. 8 - Prob. 109P Ch. 8 - Prob. 110P Ch. 8 - Prob. 111P Ch. 8 - Steam at 100 psia and 650°F is expanded...Ch. 8 - Prob. 113P Ch. 8 - Prob. 114P Ch. 8 - Prob. 115P Ch. 8 - Prob. 116P Ch. 8 - Carbon dioxide enters an adiabatic compressor at...Ch. 8 - Prob. 119P Ch. 8 - Prob. 120P Ch. 8 - Prob. 122P Ch. 8 - Prob. 123P Ch. 8 - Prob. 124P Ch. 8 - The exhaust nozzle of a jet engine expands air at...Ch. 8 - An adiabatic diffuser at the inlet of a jet engine...Ch. 8 - Hot combustion gases enter the nozzle of a...Ch. 8 - Refrigerant-134a is expanded adiabatically from...Ch. 8 - Prob. 130P Ch. 8 - Prob. 131P Ch. 8 - Prob. 132P Ch. 8 - Prob. 133P Ch. 8 - Prob. 134P Ch. 8 - Prob. 135P Ch. 8 - Prob. 136P Ch. 8 - Prob. 137P Ch. 8 - Prob. 138P Ch. 8 - Prob. 139P Ch. 8 - Prob. 140P Ch. 8 - Prob. 141P Ch. 8 - Prob. 142P Ch. 8 - Prob. 143P Ch. 8 - Prob. 144P Ch. 8 - Prob. 145P Ch. 8 - Prob. 146P Ch. 8 - Prob. 147P Ch. 8 - Prob. 148P Ch. 8 - Prob. 149P Ch. 8 - Prob. 150P Ch. 8 - Prob. 151P Ch. 8 - Prob. 152P Ch. 8 - Prob. 153P Ch. 8 - Prob. 154P Ch. 8 - Prob. 155RQ Ch. 8 - Prob. 156RQ Ch. 8 - Prob. 157RQ Ch. 8 - Prob. 158RQ Ch. 8 - Prob. 159RQ Ch. 8 - Prob. 160RQ Ch. 8 - Prob. 161RQ Ch. 8 - Prob. 162RQ Ch. 8 - Prob. 163RQ Ch. 8 - Prob. 164RQ Ch. 8 - Prob. 165RQ Ch. 8 - Prob. 166RQ Ch. 8 - Prob. 167RQ Ch. 8 - Prob. 168RQ Ch. 8 - Prob. 169RQ Ch. 8 - Prob. 170RQ Ch. 8 - Prob. 171RQ Ch. 8 - Prob. 172RQ Ch. 8 - Prob. 173RQ Ch. 8 - Determine the work input and entropy generation...Ch. 8 - Prob. 175RQ Ch. 8 - Prob. 176RQ Ch. 8 - Prob. 177RQ Ch. 8 - Prob. 178RQ Ch. 8 - Prob. 180RQ Ch. 8 - Prob. 181RQ Ch. 8 - Prob. 182RQ Ch. 8 - A 1200-W electric resistance heating element whose...Ch. 8 - Prob. 184RQ Ch. 8 - Prob. 185RQ Ch. 8 - Prob. 186RQ Ch. 8 - Prob. 187RQ Ch. 8 - Prob. 188RQ Ch. 8 - Prob. 189RQ Ch. 8 - Prob. 190RQ Ch. 8 - Consider a 50-L evacuated rigid bottle that is...

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