Hello. I just worked on this problem and we\'re asked to find theeffiency and th

Question

Hello. I just worked on this problem and we're asked to find theeffiency and the heat energy input. i got an efficiency of about13.6 % and i would like to check with someone if this is right. Andim also having trouble setting up part b. I would really appreciateit thank you very much.

1. A tropical hurricane can be thought of as a gigantic heatengine. The hurricane draws in heat (warm,
humid air) from the ocean surface at 28°C. The warm air coolsas it rises and water vapor condenses,
expelling heat at an altitude of about 8 km where the temperatureis -13°C.

a) What is the maximum possible efficiency of the tropicalhurricane described above?
b) If the hurricane engine operates at this maximum efficiency, andthe work going into driving wind
and waves is 1.3x1017 J per day, what is the heat energy input fromthe ocean surface per day?

Explanation / Answer

the maximum possible efficiency of the tropical =carnoteff. e=1-Tc/Th=1-260/301=13.62 % (b) the heat energy input from the ocean surface per dayQ we have e=W/Q => Q=1.3x1017 /e=9.54*1017 J

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