A certain heat engine operates between 1000 K

A certain heat engine operates between 1000 K and 500 K.
(a) What is the maximum efficiency of the engine?
(b) Calculate the maximum work that can be done by for each 1.0 k] of heat supplied by the hot source.
(c) How much heat is discharged into the cold sink in a reversible process for each 1.0 k] supplied by the hot source?

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