1. A gas in a piston-cylinder assembly undergoes a compression process for which the relation between pressure and volume is given by pVn 5 constant. The initial volume is 0.1 m3, the final volume is 0.04 m3, and the final pressure is 2 bar. Determine the initial pressure, in bar, and the work for the process, in kJ, if (a) n 5 0, (b) n 5 1, (c) n 5 1.3.
2. Nitrogen (N2) gas within a piston-cylinder assembly undergoes a compression from p1 5 0.2 MPa, V1 5 2.75 m3 to a state where p2 5 2 MPa. The relationship between pressure and volume during the process is pV 1.35 5 constant. For the N2, determine
(a) the volume at state 2, in m3, and
(b) the work, in kJ.
3. Oxygen (O2) gas within a piston-cylinder assembly undergoes an expansion from a volume V1 5 0.01 m3 to a volume V2 5 0.03 m3. The relationship between pressure and volume during the process is p 5 AV21 1 B, where A 5 0.06 bar ? m3 and B 5 3.0 bar. For the O2, determine
(a) the initial and final pressures, each in bar, and (b) the work, in kJ.