[QUE/TH-06011] TH-PROBLEM

(a) Show that the work done on an ideal gas to compress it
isothermally is greater than that necessary to compress it
adiabatically if the pressure change is the same in two
processes.
(b)~Show that the isothermal work is less than the adiabatic work if
the volume change is the some in two processes
(c)~As numerical example, compare the work done from initial
pressure and volume to be 10$^6$N/m$^2$ 0.5 m$^3$ kilomole$^{-}$ in
the isothermal and adiabatic process when
(i)~the pressure is doubled (ii)~ volume is halved.