Areal (non-carnot) heat engine, operating between heat reservoirs at temperatures of and performs 4.1 kj of net work, and rejects of heat, in a single cycle. what is thermal efficiency of a carnot heat engine, operating between the same heat reservoirs? 37% 43% 50% 62% 56%

There are some missing data in the problem. The full text is the following:
"A real (non-Carnot) heat engine, operating between heat reservoirs at temperatures of 710 K and 270 K performs 4.1 kJ of net work, and rejects 9.7 kJ of heat, in a single cycle. The thermal efficiency of a Carnot heat engine, operating between the same heat reservoirs, in percent, is closest to.."

Solution:
The efficiency of a Carnot cycle working between cold temperature  and  hot temperature is given by

and it represents the maximum efficiency that can be reached by a machine operating between these temperatures. If we use the temperatures of the problem,  and , the efficiency is


Therefore, the correct answer is D) 62 %.

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