)an ideal carnot engine extracts 529 j of heat from a high-temperature reservoir during each cycle, and rejects of heat to a low-temperature reservoir during the same cycle. what is the efficiency of the engine?

0.5747 or 57.4%

Explanation:

Your question is not complete so i will assume the right question goes thus;

A Carnot engine extracts 529 J of heat from a high-temperature reservoir during each cycle, and rejects 225 J of heat to a low-temperature reservoir during  the same cycle.  What is the efficiency of the engine?

Efficiency of a Carnot engine is given by [(Th-Tc) / Th]

using the formula above, the resulting equation will give us; (529-225)/529

=0.574669