(a) Compression work at the final state with a pressure of 1(MPa) is: 44.32(KJ), (b) Compression work at the final state with a pressure of 500(KPa): 110.37(KJ) and (c) temperaure of the final state in part b: T=151.83(°C).
Explanation:
Remember that the substance is steam so it's water (H2O) and the initial conditions are and from a saturated water table and the initial conditions we can determine that the state phase is superheated (see Table 1 attached) because the from the table 1 we get:. Now we have second conditions as: so from the same table we can see the state still superheated and we get, knowing that it's a isobaric process we can find the compression's work as: so the compressor's work is: 44.32(KJ). (b) Then the piston reaches the stop and there are two processes in this stage, so Process 1 is isobaric and: and the second process is isochoric:,now. Finally to get the temperarure at the final state in part (b) we get: from table 2 (see attached) we compare and at the saturated water table and find the following:, so we know that the final state phase is a satured mixture and we get the temperature at the final state as:.