Air is compressed steadily by a compressor from an inlet state of 100kPa and 300 K to an exit pressure of 900kPa : (i) determine the input compressor work per unit mass for polytropic compression with n=1.3; (ii) if ideal two-stage compression with intercooling with a polytropic exponent of 1.3 , where the pressure ratio across each stage of the compressor is the same, is used, determine the saving in input compressor work as compared to the input compressor work in (i); (iii) plot the two compression processes in (i) and (ii) on a P-v diagram, and an isothermal compression with the same compression ratio and show the work saved by using the two stage compression. Assuming a) Air is an ideal gas with constant specific heats; b) The process is reversible and c) Kinetic and potential energy changes are negligible. Useful Relations wcampin=n1nR(T2T1)=n1nRT1[(P1P2)(n1in1]P1P1=P1P2