Question

. A cubical pot of 10 cm side filled with ice at 0°C is
submerged in a hot bath at 100°C. If the thickness
of the pot is 0.2 cm and thermal conductivity is
0.02 cal/m-s-°C, find the time taken to melt the total
ice. The latent heat of ice is 80 kcal/kg and the mass
of ice is 1 kg.​

Answer 1

Explanation:

The mass of the ice in the cube is m=ρ×V=0.9×10

3

=900gm

So total heat absorbed is m×80cal/=7×10

3

cal

As there are 6 walls , rate of heat conducted would be 6×0.0×10×100/0.=6000cal/s

So, time taken to melt the ice is 7×10

3

/600=12sec