The isentropic compressor has air exiting the compressor at 1.50 MPa and 780 K. In the air it is at 100 kPa. The compressor has a mass flow rate of 0.078 kg/s. When you use the variable specific heats, find the initial temperature of air that enters the compressor and the amount of power it must have. When R = 0.287.

A commercial airliner is flying at an altitude where the temperature and pressure of the air are -50°C and 26.5 kPa. An engine-driven compressor will take this air at T= -50°C, P₁ = 26.5 kPa and compress it to P₂ = P₂ = 85.0 kPa to pressurize the cabin. The air will be very hot when it exits the compressor, so a heat exchanger will be used to cool the air to T, = 20°C before it enters the cabin. Cold air at T₁ = -50°C will be used in the heat exchanger to cool the cabin air, and this air will exit the heat exchanger at T = 20°C (this air will be used to heat the cargo bay). The mass flow rate of the air delivered to the cabin is 0.80 kg/s and the compressor efficiency is 75%. Model the air as an ideal gas having constant specific heat, using 300 K values from Cengel's tables posted on Canvas. a) Find the actual temperature of the air exiting the compressor and the power input to the compressor (answers: 67.6°C and 94.5 kW). b) Find the rate of heat transfer in the heat exchanger and…

A man purchases a turbine for use in his factory. He sets it up so that there is steam entering at 5000 kpa and at 873.15 Kelvin at a constant rate of 100 m/sec. This steam seems to leave the turbine at 100 m/sec and of 95% quality at a pressure of 0.01MPa. The manufacturer sticker claims the turbine has a power output known to be 56400 Joules per second.  Find the theoretical mass flowrate of the steam through the device [kg/sec] and the area of the outlet  [m^2]

4- Consider a water mixer operating at constant pressure, receiving water at the first inlet at I MPa and 30 °C and superheated vapor at the second inlet at I MPa and 300 °C. If the required exit temperature is 120 °C, determine the mass flow ratio of the two inlets.