Ice cube experiment

[Ajil Benny]

When an ice cube melts in a glass filled with water , will the level of water increase or decrease ?

[Halc]

Archimedes says it stays the same.

So when the Titanic sinks, does the level of water increase or decrease?  At what point in the process does this occur?
 

Edited January 13, 2021 by Halc

[iNow]

45 minutes ago, Halc said:

Archimedes says it stays the same.

Wouldn’t he say it depends on how much of the ice cube is floating above the surface?

[Halc]

27 minutes ago, iNow said:

Wouldn’t he say it depends on how much of the ice cube is floating above the surface?

To correct myself, it would depend on if the ice is floating or resting on the bottom or sides of the container. I had assumed floating.

[iNow]

If any of the cube is floating above the surface in its frozen state, will it not displace a greater amount of water upon melting into its liquid state?

[Halc]

If the cube is floating (not resting on anything), then it must displace its mass in water (just like a floating boat displaces its mass in water). When it melts, it still displaces its mass in water so no change in water level.  All floating ice has about 10% of its volume above the surface since that's the density difference.

If it is resting on the bottom of the glass, some of the weight is supported by the glass and not water, so the water level would be low and would rise as the ice melts. This rise ends once the ice stops resting on anything.

If the ice is held under the water (by a lid on the glass say), then the water level will lower as it melts until the ice stops touching the lid.

Edited January 13, 2021 by Halc

[iNow]

Thank you