One kg of air in a piston-cylinder assembly undergoes two processes in series from an initial state where pi = 0.5 MPa, T1 = 227°C: Process 1-2: Constant-temperature expansion until

the volume is twice the initial volume. Process 2-3: Constant-volume heating until the pressure is again 0.5 MPa. Assuming ideal gas behavior, determine (i) the pressure at state 2, in MPa, (ii) the temperature at state 3, in °C, the work for each of the processes, each in kJ, sketch the two processes on the same p-v diagram.