Air flows steadily at a rate of 0.5 kg/s through an air compressor. It enters the compressor at a velocity of 6 m/s with a pressure of 1 bar and specific volume of 0.85 m'/kg and leaves at a velocity of 5 m/s with a pressure of 7 bar and specific volume of 0.16 m/kg. The internal energy of the air leaving is 90 kJ/kg greater than that of air entering (u-u = 90 kJ/kg). Cooling water in a jacket surrounding the cylinder absorbs heat from the air at a rate of 60 kJ/s. Answer the following; a. What are the main assumptions b. Calculate the power required to drive the compressor, in kJ/kg c. Calculate the inlet and outlet cross-sectional areas? Air in Air out Qout Air compressor

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Air flows steadily at a rate of 0.5 kg/s through an air compressor. It enters the compressor at a velocity
of 6 m/s with a pressure of 1 bar and specific volume of 0.85 m/kg and leaves at a velocity of 5 m/s
with a pressure of 7 bar and specific volume of 0.16 m/kg. The internal energy of the air leaving is
90 kJ/kg greater than that of air entering (u-u = 90 kJ/kg). Cooling water in a jacket surrounding the
cylinder absorbs heat from the air at a rate of 60 kJ/s. Answer the following;
a. What are the main assumptions!
b. Calculate the power required to drive the compressor, in kJ/kg
c. Calculate the inlet and outlet cross-sectional areas?
Air in
Air out
Qout
Air compressor
W = ?
dmes
= m, - m,
dt
conservation of mass
dE
conservation of Energy :
Qey - Wey + mu, + pv, +
dt
+ gz
- m u, + pv. +
+ gz
%3D
Transcribed Image Text:Air flows steadily at a rate of 0.5 kg/s through an air compressor. It enters the compressor at a velocity of 6 m/s with a pressure of 1 bar and specific volume of 0.85 m/kg and leaves at a velocity of 5 m/s with a pressure of 7 bar and specific volume of 0.16 m/kg. The internal energy of the air leaving is 90 kJ/kg greater than that of air entering (u-u = 90 kJ/kg). Cooling water in a jacket surrounding the cylinder absorbs heat from the air at a rate of 60 kJ/s. Answer the following; a. What are the main assumptions! b. Calculate the power required to drive the compressor, in kJ/kg c. Calculate the inlet and outlet cross-sectional areas? Air in Air out Qout Air compressor W = ? dmes = m, - m, dt conservation of mass dE conservation of Energy : Qey - Wey + mu, + pv, + dt + gz - m u, + pv. + + gz %3D
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