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# Suppose that a newly invented environmentally friendly solar

### Customer Question

Suppose that a newly invented environmentally friendly solar powered heat engine is suggested to work by utilizing the temperature different between the top and bottom layers of a lake. For concreteness, suppose that such an engine is suggested for a small lake with a width of 80m and length of 400m with the top-layer at 25◦C and the bottom layer at 15◦C. The inventor estimates that it will have an electrical output of 1 MW. Is his/her idea viable? You may want to assume that the solar radiation at the lake is around 160 W/m2 on average.
Submitted: 5 years ago.
Category: Homework
Expert:  Steve replied 5 years ago.
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the surface area of the lake is 80*400=32000m2

with radiation of 160/m2 this gives: 32000*160=5,120,000W

5,120,000W is 5.12 megawatts.

So yes, the idea is viable.

Please let me know if you have further questions.

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Steve