In the course of each cycle, the engine would take in an amount of heat Q_h from a “hot reservoir,” give off (or “exhaust”) an amount of heat |Q_c| to a “cold reservoir,” and produce an amount...In the course of each cycle, the engine would take in an amount of heat Q_h from a “hot reservoir,” give off (or “exhaust”) an amount of heat |Q_c| to a “cold reservoir,” and produce an amount of work |W|. (I am using absolute value bars here because, from the point of view of the engine, Q_c and W must be negative quantities.) At the end of the cycle, the engine should be back to its initial state, so \Delta E_{engine} = 0.
