Solved: Applying the Entropy Balance: Control VolumesAir

Chapter 6, Problem 97P

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QUESTION:

Air enters a turbine operating at steady state at 500 kPa, 860 K and exits at 100 kPa. A temperature sensor indicates that the exit air temperature is 460 K. Stray heat transfer and kinetic and potential energy effects are negligible, and the air can be modeled as an ideal gas. Determine if the exit temperature reading can be correct. It yes, determine the power developed by the turbine for an expansion between these states, in kJ per kg of air flowing. If no, provide an explanation with supporting calculations.

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QUESTION:

Air enters a turbine operating at steady state at 500 kPa, 860 K and exits at 100 kPa. A temperature sensor indicates that the exit air temperature is 460 K. Stray heat transfer and kinetic and potential energy effects are negligible, and the air can be modeled as an ideal gas. Determine if the exit temperature reading can be correct. It yes, determine the power developed by the turbine for an expansion between these states, in kJ per kg of air flowing. If no, provide an explanation with supporting calculations.

ANSWER:

Solution 97P

Step 1 of 5

Here, we need to validate the exit temperature reading for a turbine whose inlet and exit pressures and inlet temperature are given. If it is found that the exit temperature is correct, we need to calculate the power developed by the turbine.

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