A piston-cylinder system is completely filled with gaseous nitrogen. In state 1, the volume is Vi = 0.1 m?, the pressure pi = 12 bar, and the temperature t1 = 150 C. The gas is reversibly polytropically expanded to state 2 with the volume of V2 = 0.25 m. In a first approximation, nitrogen can be considered an ideal gas with the polytropic exponent n=1.3 and the isentropic exponent t = 1.4. The specific gas constant is Rn2 = 296.81 J/(kg-K). = (3) a) Determine the temperature t2 and the pressure p2 after the expansion. b) Determine the work of volume change Wv12 and the transferred heat Q12. Is the heat supplied or extracted? c) Illustrate the change of state qualitatively correct in a p-v-diagram and indicate the specific work of volume change wv12. (7) (2)