00:01
All right, so let's say we have a tank of water resting on a floor like this, and we want to find the rate of formation on the bottom surface of, sorry, we have ice forming on the surface like this.
00:16
And so we're told the conductivity of ice to be 0 .004 calories per second per centimeter per degree celsius, and the density of ice will take 0 .92 grams per cubic centimeter.
00:34
And the heat capacity, or sorry, the heat of fusion, not the heat capacity, the heat of fusion, is 80 calories per gram.
00:46
So let's assume the temperature difference between the ice and the surrounding air is negative 14 degrees celsius.
00:55
The one we'll have is the heat flow through this is going to be, kappa times a times like delta t over delta x, which is like our thickness.
01:10
And we can rearrange this as the heat flow is like the mass formation of ice times the latent heat of fusion.
01:18
And this is equal to kappa times a times delta t over delta x.
01:25
Now our mass formation is going to be like our density times the change in volume over time...