What minimum number of 1.0 kg stones at 550 C must be added to a vessel holding

Question

What minimum number of 1.0 kg stones at 550 C must be added to a vessel holding 7.0 kg of 20C water to bring the water to a boil? Use 800 J/(kgK) for the specific heat of the stones and 4190 J/(kgK) for the specific heat of water.

Native Americans boiled water by adding very hot stones to a leak-tight water vessel What minimum number of 1.0 kg stones at 550 oC must be added to a vessel holding 7.0 kg of 200 C water to bring the water to a boil? Use 800 J/(kg.K) for the specific heat of the stones and 4190 J/(kg K) for the specific heat of water

Explanation / Answer

Let m be the number of kilos of stone to be dropped. The boiling temperature is 100 degrees

7*4190*(100-20)=2346400 J.

m* 530* 800= 2346400 + 80000m
m(424000-80000)= 2346400
m 344000=2346400
m=6.82093023 kg

so we need 7 stones

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