An ideal gas enters a turbine with a velocity of 40 m/s through an inlet pipe with a diameter of 160 mm. The ideal gas leaves the turbine at a temperature of 527°C and a pressure of 500 kPa. The ideal gas leaves the turbine with a velocity of 150 m/s through an outlet pipe with a diameter of 100 mm. The power output from the turbine is 350 kW. The heat lost from the turbine to the surrounding amounts to 6% of the power output from the turbine. Changes in kinetic energy and potential energy can be neglected. For the ideal gas, use R = 0.287 kJ/kg.K and Cp = 1.11 kJ/kg.K. i) Sketch the system/control volume for the above problem. Show the boundary/control surface and energy interactions clearly in the sketch. ii) Determine the mass flow rate of the ideal gas, kg/s. iii) Determine the temperature of the ideal gas entering the turbine, °C.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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(c) An ideal gas enters a turbine with a velocity of 40 m/s through an inlet pipe with a diameter
of 160 mm. The ideal gas leaves the turbine at a temperature of 527°C and a pressure of
500 kPa. The ideal gas leaves the turbine with a velocity of 150 m/s through an outlet pipe
with a diameter of 100 mm. The power output from the turbine is 350 kW. The heat lost
from the turbine to the surrounding amounts to 6% of the power output from the turbine.
Changes in kinetic energy and potential energy can be neglected.
For the ideal gas, use R = 0.287 kJ/kg.K and c, = 1.11 kJ/kg.K.
i) Sketch the system/control volume for the above problem. Show the
boundary/control surface and energy interactions clearly in the sketch.
ii) Determine the mass flow rate of the ideal gas, kg/s.
iii) Determine the temperature of the ideal gas entering the turbine, °C.
iv) Determine the pressure of the ideal gas entering the turbine, kPa.
v) Suggest one way to increase the power output from the turbine.
Transcribed Image Text:(c) An ideal gas enters a turbine with a velocity of 40 m/s through an inlet pipe with a diameter of 160 mm. The ideal gas leaves the turbine at a temperature of 527°C and a pressure of 500 kPa. The ideal gas leaves the turbine with a velocity of 150 m/s through an outlet pipe with a diameter of 100 mm. The power output from the turbine is 350 kW. The heat lost from the turbine to the surrounding amounts to 6% of the power output from the turbine. Changes in kinetic energy and potential energy can be neglected. For the ideal gas, use R = 0.287 kJ/kg.K and c, = 1.11 kJ/kg.K. i) Sketch the system/control volume for the above problem. Show the boundary/control surface and energy interactions clearly in the sketch. ii) Determine the mass flow rate of the ideal gas, kg/s. iii) Determine the temperature of the ideal gas entering the turbine, °C. iv) Determine the pressure of the ideal gas entering the turbine, kPa. v) Suggest one way to increase the power output from the turbine.
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