Answer to Question #302208 in Thermal Power Engineering for Shanha

Question #302208

An inventor claims to have developed a heat engine that receives 700 kJ of heat from a source at 500 K and produces 300 I of net work. while rejecting the waste heat to a sink at 290 K. Is this reasonable claim?

1
Expert's answer
2022-02-28T11:09:21-0500

The maximum heat efficiency of the engine is the Carnot efficiency;

"\\eta_{Carnot}=1-\\frac{T_2}{T_1}=1-\\frac{290}{500}=0.42"

Since efficiency is defined as;

"\\eta=\\frac{work}{Heat}"

"0.42=\\frac{W}{700}"

"W=294kJ"

Therefore it is impossible to have a work output greater than 294kJ and therefore the inventors claim is not reasonable.



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