Air above a lake is at − 1 0 ∘ C and the water under the ice is at 0°C. Ice has conductivity 0.5 W m⁻¹ K⁻¹, density 900 kg m⁻³ and latent heat 3.36 × 1 0 5 J/kg. How long does it take for a 10 cm laye

Question

Air above a lake is at − 1 0 ∘ C and the water under the ice is at 0°C. Ice has conductivity 0.5 W m⁻¹ K⁻¹, density 900 kg m⁻³ and latent heat 3.36 × 1 0 5 J/kg. How long does it take for a 10 cm layer of ice to form, in hours? (Heat to freeze the water is conducted up through the ice already formed.)

TestHub · Accepted Answer

ρ L x d x = k Δ T d t , so t = 2 k Δ T ρ L x 2 ​ = 2 × 0.5 × 10 900 × 3.36 × 1 0 5 × 0.01 ​ = 3.02 × 1 0 5 s = 84 h.

Physics - Heat & Thermo Question with Solution | TestHub

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