Problem #$2$: $(50$ pts$.)$

Air enters a compressor operating a steady state at $105$ KPa and $127$ degrees Celsius, with a volumetric flow rate of $12\frac{m^3}{m}in$ and exits at $1200$ KPa and $277$ degrees Celsius. Heat transfer occurs at a rate of $10$ KW from the compressor to its surroundings. When the air goes out from the compressor, it goes into a mixing chamber heat exchanger with two inlets and one outlet working at $1200$ Kpa $.$ You want the air at the mixing chamber outlet to have a temperature of $127$ degrees Celsius.

You are asked to determine:

a$)$ Sketch a diagram of the devices used in the processes. $5$ points

b$)$ The power input needed by the compressor. $10$ points

c$)$ The mass flow of air that you must input at the second mixing chamber inlet at $27$ Degrees Celsius. $15$ points

d$)$ Sketch the processes in a neat and labelled $P-v$ and T$-$v diagrams. $20$ points