A 0.6 kg sample of water and a sample of ice are placed in two compartments A and B that are seperated by a conducting wall, in a thermally insulated container. The rate of heat transfer from the wate

Question

A 0.6 kg sample of water and a sample of ice are placed in two compartments A and B that are seperated by a conducting wall, in a thermally insulated container. The rate of heat transfer from the water to ice through the conducting wall is constant P, until thermal equilibrium is reached. The temperature T of the liquid water and ice are shown in graph as a function of time t.

Given: specific heat of ice = 2100 J/(kg K); specific heat of water = 4200 J/(kg K).

Latent heat of fusion of ice =

$3.3 \times 1 0^{5} J/kg$

TestHub · Accepted Answer

P = t Q ​ ​ = 40 × 60 0.6 × 4200 × 40 ​ ​ P = 42 W ​ Initial mass of ice = m ​ P = t Q ​ ⇒ 42 × 60 × 60 = Q ​ Q = m s Δ T ​ 42 × 60 × 60 = m × 2100 × 30 ​ m = 2.4 kg ​

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