1.
A deep rectangular pond of surface area AA, containing water (density =ρ= \rho, specific heat capacity =s= s), is located in a region where the outside air temperature is a steady value at 26C-26^\circ\text{C}. The thickness of the frozen ice layer in this pond, at a certain instant is xx. Taking the thermal conductivity of ice as KK, and its specific latent heat of fusion as LL, the rate of increase of the thickness of ice layer, at this instant would be given by