How much will the temperature of 380 ml water change if it receives all the energy released when cooling
February 4, 2021 | education
| How much will the temperature of 380 ml water change if it receives all the energy released when cooling a copper cylinder weighing 0.15 kg from a temperature of 90C to 20C
Let us express the temperature change of 380 ml of water from the equality: Sv * ρw * V * Δt = Cm * m2 * (t2 – t1), whence Δt = Cm * m2 * (t2 – t1) / (Sv * ρw * V), where Cm (specific heat capacity of copper) = 400 J / (kg * K); m2 (mass of the copper cylinder) = 0.15 kg; t2 (initial temperature) = 90 ºС; t1 (end temperature) = 20 ºС; Sv (specific heat capacity of water) = 4200 J / (kg * K); ρw (density of heated water) = 1000 kg / m3; V (water volume) = 380 ml (0.38 * 10-3 m3).
Δt = 400 * 0.15 * (90 – 20) / (4200 * 1000 * 0.80 * 10-3) = 2.63 ºС.
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