Question

255 g of water initially at 27 oC is poured onto the ice at 0 oC and the ice-water system is then isolated. After a while the equilibrium at 0 oC is established. If the latent heat of fusion of water is 80 cal/g the amount of ice that has melted is

Answer 1

Let the amount of ice melted is

Its given that, the latent heat of fusion of water is 80 cal/g. Ant it is known that the specific heat of water is 1 cal/g

The amount of heat absorbed by the water is,

Here is mass, is specific heat and is temperature difference

So,

And head emitted by the ice is,

is the latent heat

Now to reach equilibrium these two heats have to be same

The amount of ice melted is 86.1 grams