Water level change for melting ice cube

Then calculate the weight of the water that will be formed when the ice melts. If the weight of the water formed is greater than the weight of Vi, then the water level will rise. If the weight of the water formed is less than the weight of Vi, then the water level will decrease. In summary, the question is asking to prove whether the water level will rise, remain the same, or decrease when an ice cube melts in a container of water. The equation provided is weight = buoyant force, as the cube is floating. The variables include Va (volume of cavity), Di (density), Vo (volume of cube), A (surface area of container), h (height of liquid column), and Vi (volume of imm
  • #1
kumarakrishnavaleti
2
0

Homework Statement


http://imgur.com/Sk6YkIf .
You can take Va to be volume of cavity and Di to be density and Vo to be volume of cube and A to be surface area of container and h to be height of liquid column and Vi to be volume of immerser part of cube. Prove if water level will rise or will remain same will decrease when ice melts ?

Homework Equations


weight= buoyant force as cube is floating
 
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  • #2
kumarakrishnavaleti said:

Homework Statement


http://imgur.com/Sk6YkIf .
You can take Va to be volume of cavity and Di to be density and Vo to be volume of cube and A to be surface area of container and h to be height of liquid column and Vi to be volume of immerser part of cube. Prove if water level will rise or will remain same will decrease when ice melts ?

Homework Equations


weight= buoyant force as cube is floating
I am not able to view the image.
 
  • #3
physics.png
 
  • #4
Still very unclear. Try describing the set up in words, and stating the problem exactly.
 
  • #5
Calculate the weight of Vi (the water the ice cube is displacing).
 

FAQ: Water level change for melting ice cube

What causes a change in water level when an ice cube melts?

The change in water level when an ice cube melts is caused by the difference in density between liquid water and solid ice. Ice has a lower density than water, so when it melts, it takes up less space, resulting in a decrease in water level.

Does the temperature of the water affect the change in water level when an ice cube melts?

Yes, the temperature of the water does affect the change in water level. Warmer water has a higher density than colder water, so the change in water level may be less noticeable when using warm water to melt an ice cube compared to using cold water.

How much does the water level change when an ice cube melts?

The amount of change in water level when an ice cube melts can vary depending on the size and density of the ice cube. On average, a small ice cube can cause a change of about 0.4 millimeters in water level when it melts.

Does the shape of the ice cube affect the change in water level when it melts?

Yes, the shape of the ice cube can affect the change in water level. A cube-shaped ice cube will cause a more noticeable change in water level compared to a cylindrical or spherical ice cube of the same mass, as it has a larger surface area that comes into contact with the water.

What other factors can influence the change in water level when an ice cube melts?

Besides temperature and shape, other factors that can influence the change in water level when an ice cube melts include the salinity and movement of the water, as well as the presence of impurities in the ice cube such as air bubbles. These factors can affect the rate at which the ice cube melts and how it interacts with the surrounding water.

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