How much natural gas needs to be spent in order to bring to a boil the water obtained by melting 1 kg

univerkov | June 18, 2021 | education

How much natural gas needs to be spent in order to bring to a boil the water obtained by melting 1 kg of ice taken at a temperature of 5 degrees C? Installation efficiency is 100%.

Data: m1 (mass of ice, water) = 1 kg; t (temperature of the taken ice); η (installation efficiency) = 100% = 1.

Constants: q (beats calorific value of natural gas) = 44 * 10 ^ 6 J / kg; C1 (specific heat capacity of ice) = 2100 J / (kg * K); λ (beats heat of melting of ice) = 3.4 * 10 ^ 5 J / kg; C2 (specific heat capacity of water) = 4200 J / (kg * K).

η = (C1 * (0 – t) + λ + C2 * (100 – t)) * m1 / (q * m2) = 1.

m2 = (C1 * (0 – t) + λ + C2 * (100 – t)) * m1 / q = (2100 * 5 + 3.4 * 10 ^ 5 + 4200 * 100) * 1 / (44 * 10 ^ 6) = 0.0175 kg (17.5 g).

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