An ideal gas in a piston-cylinder assembly undergoes two processes in series. During the first process 1-2, from state 1 to state 2, 500 kJ of heat is transferred to the gas while the gas does 800 kJ of work on the piston. The second process, from state 2 to state 3, is a constant pressure compression at 400 kPa during which 450 kJ of heat is lost through the cylinder walls. The internal energy contained in the cylinder gas at states 1 and 3 is 2000 kJ and 3500 kJ, respectively.

Sketch the process on P-V diagram and deternine the total work transfer.