3. [30] The system is a fixed mass of gas in a piston/cylinder assembly. The system executes a refrigeration cycle consisting of the following quasiequilibrium processes: 1-2: constant-pressure heat addition (volume increasing) 2-3: heat removal with pV=constant 3-1: constant-volume heat removal (pressure decreasing) state 1 2 3 Pressure (Pa) 1E5 1E5 3E5 Volume (m3) 0.2 0.6 0.2 The kinetic and potential energy are negligible. Use the MechE sign convention for this problem. Define your energy scale so that U1=0 J. a) Carefully sketch a p-V diagram for this cycle b) Find the values of W12, W23, and W31, using the MechE sign convention. c) If Q12=1.4E5 J and U-U3,* find values of Q23 and Q31 d) Make a table showing the direction of energy transfer by heat transfer (into or out of system), the direction of energy transfer by work (into or out of system) and the direction of change of system energy (increase or decrease) for each process (1-2, 2-3, 3-1) and for the cycle as a whole. e) Find the coefficient of performance of the refrigeration cycle.