As a budding mechanical engineer, you are called upon to design a Carnot engine that has 2 . 0 0 mol of a monatomic ideal gas as its working substance and operates from a high - temperature reservoir at 5 0 0 ° � . The engine is to lift a 1 5 . 0 � � weight 2 . 0 0 � per cycle, using 5 0 0 � of heat input. The gas in the engine chamber can have a minimum volume of 5 . 0 0 � during the cycle. ( a ) Draw a � � - diagram for this cycle. Show in your diagram where heat enters and leaves the gas. ( b ) What must be the temperature of the cold reservoir? ( c ) What is the thermal efficiency of the engine? ( d ) How much heat energy does this engine waste per cycle? ( e ) What is the maximum pressure that the gas chamber will have to withstand?