3. (22 Marks] A piston cylinder system is initially split into two chambers using a fixed, insulated membrane. Chamber A contains 1.5 kg of saturated vapor R-410a at TA1 = 0C and Chamber B contains 2 kg of R-410a at T8,1 = 15C and P8,1 = 1500 kPa. The membrane is ruptured, and heat is added to the cylinder until the R-410a reaches equilibrium at state 2 with a temperature T2 = 25C and with the piston still resting on the stops. Heating continues and the piston starts to lift off the stops (state 3) when T3 = 40C and then rises to a final height (state 4) with the temperature of R-410a reaching T4 = 60C. a) Determine the volume of R-410a in Chambers A and B at the initial state, V4,1 and V8,1- (6 Marks) b) Determine the pressure (P2), specific volume (v2), and quality (x2), if applicable, of the R-410a in the cylinder at state 2. (5 Marks) c) Determine the pressure at state 3, P3, when the piston just lifts off (but is still touching) the stops. (3 Marks) d) Determine the final specific volume, V4. (3 Marks) e) Plot state points 2, 3 and 4 on a T-v (temperature-specific volume) diagram. Include process lines, labeled constant pressure lines, and label the T, P and v values corresponding to each state point. (5 Marks) State 1 State 4 Piston Pistor Stops Cylinder - A -Membrane B