An icebox almost completely filled with ice at 0°C is dipped into an�

1.	An icebox almost completely filled with ice at 0°C is dipped into an area volume of water at 20°C. The box has walls of surface area 2400cm2, thickness 2.0mm and thermal conductivity 0.06W/m-°C. Calculate the rate at which the ice melts in the box. Latent heat of fusion of ice = 3.4 x 105J/kg.
Answer» A = 2400cm² = 2400 × 10^–4m² ℓ = 2mm = 2 × 10^–3m K = 0.06w/m-°C θ₁ = 20°C θ₂ = 0°C Q/t = (KA(θ₁ - θ₂)/l = (0.06 x 2400 x 10^-4 x 20)/(2 x 10^-3) = 24 x 6 x 10^-1 x 10 = 24 x 6 = 144J/sec Rate in which ice melts = m/t = Q/(t x L) = 144/(3.4 x 10⁵)kg/h = (144 x 3600)/(3.4 x 10⁵)kg/s = 1.52kg/s.

An icebox almost completely filled with ice at 0°C is dipped into an area volume of water at 20°C. The box has walls of surface area 2400cm2, thickness 2.0mm and thermal conductivity 0.06W/m-°C. Calculate the rate at which the ice melts in the box. Latent heat of fusion of ice = 3.4 x 105J/kg.

Answer»

A = 2400cm² = 2400 × 10^–4m²
ℓ = 2mm = 2 × 10^–3m
K = 0.06w/m-°C
θ₁ = 20°C
θ₂ = 0°C

Q/t = (KA(θ₁ - θ₂)/l = (0.06 x 2400 x 10^-4 x 20)/(2 x 10^-3) = 24 x 6 x 10^-1 x 10 = 24 x 6 = 144J/sec

Rate in which ice melts = m/t = Q/(t x L) = 144/(3.4 x 10⁵)kg/h = (144 x 3600)/(3.4 x 10⁵)kg/s = 1.52kg/s.

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An icebox almost completely filled with ice at 0°C is dipped into an area volume of water at 20°C. The box has walls of surface area 2400cm2, thickness 2.0mm and thermal conductivity 0.06W/m-°C. Calculate the rate at which the ice melts in the box. Latent heat of fusion of ice = 3.4 x 105J/kg.

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