MEEN 315-201: Spring 2021 Q3. (20 points) Exam 1 A piston-cylinder assembly containing 1 lbm-nitrogen gas at 50 lbf/in, 780 'R, is compressed adiabatically to 100 lbf/in. The compression process is polytropic with n = 1.4. The initial volume of the gas is 6 ft3. The change in internal energy, in Btu, can be expressed in terms of temperature change as AU = 0.178(T2- T). Neglecting the changes in gravitational potential energy (APE) and kinetic energy (AKE), determine: (a) The final volume of nitrogen (in ft) (b) The work transfer during the process (in Btu) (c) The final temperature of nitrogen (in "R).