When Air Is Compressed Its Temperature Increases. The Compression Process Can Be Done In Multiple Stages With Cooling Between The Stages. This Reduces The Amount Of Work Required In The Compression Process The Two-Stage Compressor Shown In The Figure Below Takes In Air At Room Condition (300 K And 100 KPa) And Compresses It To 2 MPa. The Cooler Then Cools

 

When air is compressed its temperature increases. The compression process can be done in multiple stages with cooling between the stages. This reduces the amount of work required in the compression process. The two-stage compressor shown in the figure below takes in air at room condition (300 K and 100 kPa) and compresses it to 2 MPa. The cooler then cools the air to 340 K, after which it enters the second stage, which has an exit pressure of 15 MPa. Both compression stages are adiabatic and reversible. a) Find the specific heat transfer in the intercooler (the amount of heat in kJ/kg that must be removed from the air). b) Determine the total specific work. c) Compare this to the work required with no intercooler. Hints: 1 2 3 inter- cooler C C2 -W Reversible + adiabatic = isentropic You can assume that the change in temperature is small for each stage: this will allow you to use the equations derived in class that are valid for an ideal gas undergoing an isentropic process with constant specific heat. Pressure remains constant in the intercooler.