A single-stage, single-acting air compressor with runs at 700 r/min. It has a polytropic index of 1.25. The induced volume flow rate is 0.65 m³/min and the air must be delivered at 700 kPa. The free air conditions are 101.3 kPa and 15 °C. The clearance volume is 6% of the stroke volume and the stroke/bore ratio is 1.5/1.

For air properties use online source: https://www.peacesoftware.de/einigewerte/luft_e.html  The compressor is operating at steady-state increasing pressure of R-22 refrigerant from 4 bars to 14 bars. Temperature was rising during the process from 12C to 90C. The inlet volumetric flow rate is 1 m3/min and inlet diameter is 0.03m. At the exit the diameter is the same. Heat flow to the surroundings can be neglected. Determine: a.Mass flow rate [kg/s]   SHOW AND EXPLAIN ALL STEPS PLEASE

Combustion gases with k=1.35, Cp =1107 J/(kg.K) and R= 287 J/(kg.K) flow at stagnation pressure and stagnation temperature of 390kPa and 1150 K respectively, flow through a 90o IFR turbine to an exit static pressure of 100 kPa. The total to static efficiency is 80% and the flow leaves the stator choked (Mach Number=1). The relative velocity at the inlet to the rotor is radial and the flow leaves the turbine without a swirl. Find (a) the work delivered per unit flow rate, (b) the impeller tip velocity and (c) the flow angle at the inlet to the rotor.

For air properties use online source: https://www.peacesoftware.de/einigewerte/luft_e.html  The compressor is operating at steady-state increasing pressure of R-22 refrigerant from 4 bars to 14 bars. Temperature was rising during the process from 12C to 90C. The inlet volumetric flow rate is 1 m3/min and inlet diameter is 0.03m. At the exit the diameter is the same. Heat flow to the surroundings can be neglected. Determine: a.Mass flow rate [kg/s]   SHOW AND EXPLAIN ALL STEPS PLEASE thanks