Gas in a piston-cylinder assembly undergoes two processes in series. From state 1 to state 2 there is energy transfer by heat to the gas with a magnitude of 500 kJ, and the gas does work on the piston with a magnitude of 800 kJ. The second process, from state 2 to state 3, is a constant- pressure compression at 400 kPa during which there is a heat transfer from the gas with a magnitude of 450 kJ.

The following data are also known: U1 = 2000 kJ and U3 = 3500 kJ.

Neglecting changes in kinetic and potential energy, calculate the change in volume of the gas during process 2-3, in m3.

Make sure you have proper schematics and other diagrams to illustrate the processes.