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One gallon is about 8 pounds

10,000x8 = 80,000 lbs

by defn 1 BTU will change the temp of 1 lb of water by 10F

35,000 BTU/80,000lb = 7/16 0F

This amount of heat will NOT cause a 10 deg. temp change ever.

More info is needed to complete the problem. Like is this really 35,000 BTU per hour or per minute or per second?

Assuming per minute

10 / (7/16) = 160/7 minutes

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Q: How long will it take to heat 10000 gallons of water 10 degrees applying 35000 BTU?
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