The two-stage air compressor shown below is working at a steady state and compressing 10 m3 /min of air from an initial pressure of 100 kPa and a temperature of 300 K, to a final pressure of 1200 kPa. The air is cooled to 300 K again at a constant pressure of 350 kPa through an intercooler between the two stages. The two compression processes are adiabatic and reversible. Determine the power needed to run the compressors in kW and compare it to the power needed for isentropic compression from the same inlet state to the same final pressure.Assume: 1. Closed system 2. Compression in both individual compressors is adiabatic and heat exchange occurs ONLY at the intercooler 3. All processes are internally reversible 4. Air can be modeled as ideal gas 5. Negligible kinetic and potential energy effects HINT: To determine the thermodynamic conditions of each state, make use of Table A.22 attached at the end of this document. Question 4 (PE6863 ONLY): Reconsider Question 3 and include in the analysis that each compressor stage might have an isentropic efficiency less than 100% (consider compressor efficiency " of 80%). Determine, in kW, (a) the power input to each stage, (b) the heat transfer rate for the intercooler, and (c) the decrease in power input as compared to a single stage of compression with no intercooling HINT: Please note that for this case, the processes are not isentropic anymore:You can still use Table A.22 to determine the thermodynamic states, but make sure you correct the enthalpy to the non-isentropic state. For example, you can determine the temperature and enthalpy of state 2S using Table A.22 (similarly to what you did for state 2 in Question 3), but then you need to correct it as follows: # = $ + (#% $ )