A quantity of N molecules of an ideal gas initially occupiesvolume V. The gas then expands to volume 2V. The number ofmicroscopic states of the gas increases in the expansion. Underwhich of the following circumstances will this number increases themost? ( i ) if the expansion is reversible and isothermal ( ii ) ifthe expansion is reversible and adiabatic ( iii ) the number willchange by the same amount for both circumstances. Why ?
