Heat Conduction
A deep rectangular pond of surface area , containing water (density = ), specific heat capacity = ), is located in a region where the outside air temperature is at a steady value of . The thickness of the frozen ice layer in this pond, at a certain instant is .
Taking the thermal conductivity of ice as , and its specific latent heat of fusion as , the rate of increase of the thickness of ice layer, at this instant, would be given by
Show answer and solution
Answer: (d)
- Water below the ice is at C, top of ice at C; heat conducted through the ice layer:
- This heat comes from freezing a layer :
- So the answer is (d).