A heat engine operates between a source at 477°C and a sink at 27°C. If heat is supplied to the heat engine at a steady rate of 65,000 kJ/min, determine the maximum power output of this heat engine.

And replacing in the Carnot efficiency we got:

Explanation:

For this case we can use the fact that the maximum thermal efficiency for a heat engine between two temperatures are given by the Carnot efficiency:

We have on this case after convert the temperatures in kelvin this:

And replacing in the Carnot efficiency we got:

And the maximum power output on this case would be defined as:

Where represent the heat associated to the deposit with higher temperature.

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answer:

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