heat provider and heat acceptor makes up the system. heat flows from high temperature to low temperature. the amount of heat that flows from the heat provider is the heat that goes into the heat provider minus the total work of the heat provider system based on the Carnot cycle. more specifically, the heat that goes into the heat provider is the heat input in the isothermal expansion which equals the Work of the system to expand the gas in the carnot cycle. and, the heat that flows out of the heat provider is the heat output in the isothermal compression which equals the Work external to compress the gas in the carnot cycle. the net heat input of the heat provider is equal to the net work done by the heat provider which is also equal to the heat input minus the heat output. THE RESULT IS A DECREASE IN TEMPERATURE OF THE HEAT PROVIDER AS HEAT FLOWS OUT. this net work done by the heat provider is the energy lost by the heat provider as heat flows from a hight temperature area to a low temperature area. is everything correct so far?????