# Temperature change in ice water interface

A metal block at 500 K is kept on a large ice slab at 273 K.The metal block completely sinks inside the ice slab. I was told that the water in contact with ice would not change its temperature while the block sinks down and hence the "only" heat transfer from the metal block to ice slab will occur to provide for the latent heat of fusion. Why would not the water in contact with ice change its temperature?
I understand that the block would start to sink as soon as the ice at 273 K converts to water at 273 K. But is it correct to say that the water in contact cannot change its temperature until it is in contact with ice?

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BvU
Homework Helper
The metal block completely sinks inside the metal cube.
In the ice cube, I should hope ?
Why would not the water in contact with ice change its temperature?
The ice keeps the water at 273 K. At that temperature ice and water are in phase equilibrium: add heat ##\Rightarrow## ice melts; remove heat ##\Rightarrow## water freezes.
But is it correct to say that the water in contact cannot change its temperature until it is in contact with ice?
Don't understand the question. In contact with the metal ? Change the temperature from what to what ?

In the ice cube, I should hope ?The ice keeps the water at 273 K. At that temperature ice and water are in phase equilibrium: add heat ##\Rightarrow## ice melts; remove heat ##\Rightarrow## water freezes.
Don't understand the question. In contact with the metal ? Change the temperature from what to what ?

By changing the temperature I mean the effect the hot metal block will have on water.
How will the ice keep the water at 273 K

BvU
Homework Helper
By melting !

Why will it melt? What will provide it latent heat of fusion to do that?

BvU
Homework Helper
If the water warms up above 273 K the heat is taken away by the ice: it melts.

BvU
Homework Helper
The metal melts a very thin layer of water (*). The weight of the metal pushes the water to the sides where it can escape upwards, thus allowing the metal block to sink into the ice.

(*) That thin layer of water is in contact with the metal topside and with the ice on the bottom side. So there is a temperature difference that drives downward heat transfer.

The metal block would convert the ice at 273 K to water at 273 K and make its way to the bottom. And since the water so converted is at 273 K and the ice is also at 273 K there will be no heat flow. When the metal block reaches bottom, it has no more heat left and it is also at 273 K, and hence the heat transfer would stop. But while the metal block is inside the ice cube, it will be in contact with water it had just converted as well as ice at the same time but it will provide the latent heat of fusion to ice to convert it to water at 273 and not provide more heat to water. Correct me if I am wrong?

jbriggs444