A sample containing 0.50 mol of an ideal gas is maintained at 400K. It is compressed isothermally and reversibly from an initial volume of 8.0L until the surroundings have done 2.50×103J of work on the gas.
(i) Determine the final volume of the gas.
(ii) Calculate the magnitude of heat exchanged with the surroundings and state whether heat is absorbed or rejected by the gas.
(iii) What is the change in internal energy of the gas? Give a brief reason.