# What amount of heat is needed to heat up to boiling water V1 = 10L located in an aluminum

What amount of heat is needed to heat up to boiling water V1 = 10L located in an aluminum tank at a temperature of t1 = 20 degrees C?

Data: V1 (water volume) = 10 l (0.01 m3); t1 (initial temperature of water, tank) = 20 ºС; m2 (tank weight) = 2 kg.

Constants: ρ1 (water density) = 1000 kg / m3; t2 (boiling point of water) = 100 ºС; C1 (specific heat capacity of water) = 4200 J / (kg * K); C2 (specific heat capacity of aluminum) = 920 J / (kg * K).

The amount of heat for heating water in the tank: Q = C1 * m1 * (t2 – t1) + C2 * m2 * (t2 – t1) = (C1 * ρ1 * V1 + C2 * m2) * (t2 – t1).

Q = (4200 * 1000 * 0.01 + 920 * 2) * (100 – 20) = 3 507 200 J ≈ 3.5 MJ.

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