An ideal gas refrigeration system with a regenerative HX uses air as the working fluid. Air enters

Question:

An ideal gas refrigeration system with a regenerative HX uses air as the working fluid. Air enters the compressor at 270 K, 150 kPa at a flow rate of 0.1 m3/min and exits at 400 kPa. Compressed air enters the regenerative HX at 300 K and is cooled down to 270 K as the turbine inlet. Determine
(a) The cooling capacity,
(b) The net power input, and
(c) The COP.