Physics · Thermal Properties of Matter

A deep rectangular pond of surface area A, containing water (density = ρ, specific heat capacity = s), is located in a region where the outside air temperature is at a steady value of -26°C. The thickness of the frozen ice layer in this pond at a certain instant is x. Taking the thermal conductivity of ice as K and its specific latent heat of fusion as L, the rate of increase of the thickness of the ice layer at this instant would be given by: