(30 points) Air enters a compressor at 1 bar, 310 K, and is compressed adiabatically to 12 bar, 630 K. The air exiting the compressor is then heated to 1460 K, with no change in pressure. The rate of heat transfer to the air is 20.8 MW. Operation is at steady state and kinetic and potential energy effects can be neglected. Modeling the air as an ideal gas, determine the power input to the compressor, in MW.List the elements of your engineering model in the space provided.