Two reversible heat engines operate in series between a source at 527 celsius and a sink at 17 celsius deg. If the engines have equal efficiencies and the first rejects 400 kJ to the second, calculate:
(1) the temperature at which heat is supplied to the second engine
(2) the heat taken from the source
(3) the work done by each engine
Assume that the each engine operates on the carnot cycle.