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.