When 100 kg of lead solidifies, energy is released. How much water can be heated from 0 ° C to 60 ° C
| April 12, 2021 | education
When 100 kg of lead solidifies, energy is released. How much water can be heated from 0 ° C to 60 ° C due to the released energy.
Initial data: m1 (mass of crystallized lead) = 100 kg; t0 (initial water temperature) = 0 ºС; t (final water temperature) = 60 ºС.
Constants: λ (specific heat of crystallization of lead) = 0.25 * 105 J / kg; C (specific heat of water) = 4200 J / (kg * K).
The mass of water is determined from the following equality: Q1 (lead crystallization) = Q2 (water heating): λ * m1 = C * m2 * (t – t0), whence m2 = λ * m1 / (C * (t – t0)).
Calculation: m2 = 0.25 * 105 * 100 / (4200 * (60 – 0)) = 9.92 kg.
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