A gas in a piston-cylinder assembly is compressed (through a combination of external force on the piston and cooling) in such a manner that the pressure and volume are related by pVn = constant. Given an initial state of 100 kPa and 1 m3 and a final volume of 0.5 m3. Evaluate the work transfer if
(a) n = 0
(b) n = 1
(c) n = 1.4
(d) Plot a p-V diagram for each process and show the work by shaded areas.