A heat engine operates between two reservoirs at T2 = 600 K and T1 = 350 K. It takes in 1 000 J of energy from the higher-temperature reservoir and performs 250 J of work. Find
(a) The entropy change of the Universe ΔSU for this process and
(b) The work W that could have been done by an ideal Carnot engine operating between these two reservoirs.
(c) Show that the difference between the amounts of work done in parts (a) and (b) is T1ΔSU.