Problem 6.16: Air is compressed in a steady-state, insulated flow device. The air enters at 1 bar, 25 °C and exits at 5 bar, 200 °C.   a)  Determine the amount of work needed for this compression.   b)  Calculate the entropy generation.   c)  What is the minimum amount of work necessary to compress air from 1 bar, 25 °C to 5 bar?   d)  What would be the temperature at the exit of the compressor in part (c)? Assume air to be an ideal gas with Cp   = 30 J/molK. Problem 6.17: A new compressor has just been delivered to your plant. In order to check its performance you order your staff to make a test run using air. Your staff reports to you the following results: air at a flow rate of 50 mol/min was compressed from 1 bar and 25 °C to 10 bar. The temperature at the exit of the compressor was measured and found to be 450 °C.   a)  What is the power (in kW) consumed by the compressor?   b)  What is the efficiency of the compressor? Assume air to be an ideal gas with CP   = 3.5R.

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
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Problem 6.16: Air is compressed in a steady-state, insulated flow device. The air enters at 1 bar, 25 °C and exits at 5 bar, 200 °C.

 

a)  Determine the amount of work needed for this compression.

 

b)  Calculate the entropy generation.

 

c)  What is the minimum amount of work necessary to compress air from 1 bar, 25 °C to 5 bar?

 

d)  What would be the temperature at the exit of the compressor in part (c)? Assume air to be an ideal gas with Cp   = 30 J/molK.

Problem 6.17: A new compressor has just been delivered to your plant. In order to check its performance you order your staff to make a test run using air. Your staff reports to you the following results: air at a flow rate of 50 mol/min was compressed from 1 bar and 25 °C to 10 bar. The temperature at the exit of the compressor was measured and found to be 450 °C.

 

a)  What is the power (in kW) consumed by the compressor?

 

b)  What is the efficiency of the compressor? Assume air to be an ideal gas with CP   = 3.5R.

 

 

Expert Solution
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Given that-

Initial Pressure, P1= 1 bar

Initial temperature, T1= 250 C= 298.15 K

Final Pressure, P2 = 5 bar

Final  temperature, T2= 2000 C = 473.15 K 

Temperature T= 250 C= 298.15 K

Specific heat at constant pressure, for air, Cp= 30 J/Kmol

Now, air is flowing through insulated device so as the change in heat, Q= 0

 

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