How much water can be boiled due to the heat generated with 10 kg of firewood, if Tn = 20?

univerkov | April 28, 2021 | education

Initial data: m1 (mass of (dry) firewood) = 10 kg; tн (initial water temperature) = 20 ºС.

Constants: tк (water boiling temperature) = 100 ºС; С (specific heat capacity of water) = 4200 J / (kg * ºС); q (specific heat of combustion of dry wood) = 10 ^ 7 J / kg.

We determine the mass of water that can be boiled from the equality: C * m * (tк – tн) = q * m1, whence m = q * m1 / (C * (tк – tн)).

Calculation: m = 10 ^ 7 * 10 / (4200 * (100 – 20)) = 297.6 kg.

Answer: You can boil 297.6 kg of water.

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