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PROBLEM 1: An air compressor is designed to compress atmospheric air (assumed to be at 100 kPa, 20°C) to a pressure of 1 MPa. Heat losses to the environment are anticipated to be about equal to 10 - percent of the power input to the compressor. The air enters at 50 m/s where the inlet area is 90 cm? and leaves at 120 m/s through an area of 5cm?. Determine the exit air temperature and the power input to the compressor. Ans: = 117.8°C ; Pinput = 61.83 kW (applied on)

PROBLEM 1: An air compressor is designed to compress atmospheric air (assumed to be at 100 kPa, 20°C) to a pressure of 1 MPa. Heat losses to the environment are anticipated to be about equal to 10 - percent of the power input to the compressor. The air enters at 50 m/s where the inlet area is 90 cm? and leaves at 120 m/s through an area of 5cm?. Determine the exit air temperature and the power input to the compressor. Ans: = 117.8°C ; Pinput = 61.83 kW (applied on)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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First Law of Thermodynamics Conservation of Energy-Open systems Đis equation is useful if directions of heat transfer and work crossing the system bounaries are alrmady determined. In mathematical form, ΣΕnergy-ΣΕnergy inlet Considering all forms of energy flow into and out from the control volume with the mass, the cathematical form of the steady-state, steady-flow first law becomes +gz -> +gz +W 2 pu dts inlets h=u+pu but - Em h+ +gz -2 +gz +W %3D 2 Inlets exits For a Unit Mass q=Eh+ 2 +gz - Eh+ +gz +w 2 Inlets w = specific work Q= heat p= pressure v= specific volume v= velocity where g= acceleration due to gravity z = datum W =work h = enthalpy PROBLEM 1: An air compressor is designed to compress atmospheric air (assumed to be at 100 kPa, 20°C) to a pressure of 1 MPa. Heat losses to the environment are anticipated to be about equal to 10 . percent of the power input to the compressor. The air enters at 50 m/s where the inlet area is 90 cm? and leaves at 120 m/s through an area of 5cm?. Determine the exit air temperature and the power input to the compressor. Ans: = 117.8°C ; Pinput = 61.83 kW (applied on)
Transcribed Image Text:First Law of Thermodynamics Conservation of Energy-Open systems Đis equation is useful if directions of heat transfer and work crossing the system bounaries are alrmady determined. In mathematical form, ΣΕnergy-ΣΕnergy inlet Considering all forms of energy flow into and out from the control volume with the mass, the cathematical form of the steady-state, steady-flow first law becomes +gz -> +gz +W 2 pu dts inlets h=u+pu but - Em h+ +gz -2 +gz +W %3D 2 Inlets exits For a Unit Mass q=Eh+ 2 +gz - Eh+ +gz +w 2 Inlets w = specific work Q= heat p= pressure v= specific volume v= velocity where g= acceleration due to gravity z = datum W =work h = enthalpy PROBLEM 1: An air compressor is designed to compress atmospheric air (assumed to be at 100 kPa, 20°C) to a pressure of 1 MPa. Heat losses to the environment are anticipated to be about equal to 10 . percent of the power input to the compressor. The air enters at 50 m/s where the inlet area is 90 cm? and leaves at 120 m/s through an area of 5cm?. Determine the exit air temperature and the power input to the compressor. Ans: = 117.8°C ; Pinput = 61.83 kW (applied on)
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