A gas is compressed isothermally to half its initial
volume. The same gas is compressed separately
through an adiabatic process until its volume is
again reduced to half. Then :-
(1) Compressing the gas isothermally will require
more work to be done.
(2) Compressing the gas through adiabatic process
will require more work to be done.
(3) Compressing the gas isothermally or
adiabatically will require the same amount of
work.
(4) Which of the case (whether compression
through isothermal or through adiabatic
process) requires more work will depend upon
the atomicity of the gas.