\ \ A piston-cylinder system contains

8kg

of gas. The system undergoes three different heat transfers and work interaction stages. The three stages and processes are described as follows:\ Stage 1, Process A: initial volume

0.02m^(3)

, final volume

0.08m^(3)

, temperature

400K

, heat added

8000J

.\ Stage 2, Process B: initial volume

0.08m^(3)

, final volume

0.02m^(3)

, adiabatic exponent

k=

1.4, work done

-5000J

.\ Stage 3, Process C: initial volume

0.02m^(3)

, final volume

0.02m^(3)

, pressure

5000Pa

, heat added

2000J

.\ Determine the following:\ a. Name the processes A, B and C and show the process on a suitable property diagram.\ b. Calculate the temperature at stages 2 and 3 and the final total internal energy of the system.\ (3 marks)