An ideal gas is taken through an isothermal process at a temperature of 300K.
(i) State the sign convention adopted in thermodynamics for the work associated with a system during a change in volume.
(ii) For the given gas, explain qualitatively whether the work will be positive, negative or zero when the gas is compressed from 6.0L to 2.0L at 300K.
(iii) Without carrying out any numerical calculation, compare the magnitude of the work done during the compression in part (ii) with that during a compression from 6.0L to 4.0L at the same temperature. Give a reason for your answer.