Determine the minimum work required by an air compressor. at the inlet the conditions are 150 kg/min, 125 kpa and 33 °c. at the exit, the pressure is 550 kpa. assume air is an ideal gas with mw 29 g/mol, cp 3.5r (constant).

Explanation:

The given data is as follows.

               MW = 29 g/mol,         = 3.5 R

Formula to calculate minimum amount of work is as follows.

                          =

                          = 4.692 kJ/mol

Therefore, total work done will be calculated as follows.

                        Total work done =

Since, m = . Therefore, putting these values into the above formula as follows.

            Total work done =

                                        =      

                                       = 24268.96 kJ/min

It is known that 1 kJ/min = 0.0166 kW. Hence, convert 24268.96 kJ/min into kW as follows.

                   = 402.86 kW

Thus, we can conclude that the minimum work required by an air compressor is 402.86 kW.

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