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The level of the liquid stays the same : the ice is no longer above the water but it takes up less space as water.

Ice floats, therefore it is less dense than liquid water. (They are both made of H2O.) As the ice melts it becomes denser, using less space for the same about of mass (water is unlike most substances that become less dense as they melt). So if it takes less space for the same mass, the water level goes down. (The actual mass does not change only its form.) However, the volume of ice above the water level is approximately 12.5% of the total). When this melts you will find that its 'extra' volume causes the final level to be the same as the original one.

The science behind this has to do with Archimedes Principle, which states that the mass of the liquid displaced by a floating object is equivalent to the mass of the object. The space taken up by the object under the water is same as the amount of water of the same weight. So in ice cube terms: the volume of the water that the ice cube displaces is the same as the weight of water in the ice cube. Given that these two are exactly the same, the level therefore remains constant.

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13y ago
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14y ago

The water level will not change! It will neither decrease nor increase.

Take the case of an ice cube floating on water with a portion of the cube submerged. Let the volume of the ice above the water level be V1 and below the water level be V2.

The weight of the ice is equalled by the buoyant force of water.

(for weight of ice, the entire volume contributes; for buoyant force, only the immersed portion is considered)

'm' is the mass of the ice cube, g=9.8ms-2 and σ is the density of water

mg = V2 σ g

m = V2 σ --->(1)

On melting, the total volume of ice (V1 + V2)produce some volume of water, x.

Since the mass of matter does not change,

mass of ice = mass of water formed from melting ice

m = x σ --->(2)

V2 σ = x σ --->(substituting from equation (1) )

V2 = x --->(3)

In equation (2), 'm' is the mass of the ice cube, volume of water (x) * density of water (σ) gives mass of molten ice.

Analysing equation (3):

V2 was the volume occupied by the submerged portion of the ice. The volume of water resulting from melting occupies the same volume (x = V2) as previously occupied by the ice.

It can be concluded that there is no change in the level of water (volume of water) during or after complete melting of ice.

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13y ago

No. When water freezes it expands taking up more room (volume) in the glass. When it melts it will take up less room so the glass will not overflow.

(In a similar manner, a free-floating iceberg that melts in the ocean will not cause the sea level to rise. However, ice trapped on land that melts into the sea would cause the ocean level to rise).

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14y ago

The level would remain the same, because the ice cube displaces its own mass of water. This displaced mass is replaced when the ice cube melts.

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14y ago

Not really. As the piece of ice melts, it's displacement/physical size diminishes as well.

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13y ago

The temperature of the water become lower.

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16y ago

No

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14y ago

yes

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4y ago

Stay the same

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Q: If you float an ice cube in a glass of water filled to the brim will the water overflow when the ice melts?
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Does the glass overflow when its filled to the brim and ice melts?

No, the glass will only overfill when disturbed


Would a glass that was filled to the brim with ice and water would it overflow?

No. The volume taken up by the ice gets smaller as it melts. This makes the total volume of ice and water in the glass smaller as time passes. So the glass will not overflow


When ice cube floating in a tumbler of water melts completely why there is no overflow of water?

Its actually quite simple. The answer would be Anomalous expansion of Water, which means that the volume the Ice cubes are consuming in a glass filled upto the brim is more than water alone. When Ice melts and comes back into water form, it uses lesser volume (space) in the glass. Hence it does not allow the glass to overflow as the person pouring into the glass had poured in keeping into view the level of the ice (which uses more volume).


Will water overflow when the ice in the cup completely filled with water melts completely?

If you are asking if a cup filled with water and ice, when the ice melts, will the water overflow, then the answer is no. As the ice becomes water, then it loses its ability to displace the water that it was first displacing as it was ice. So in the end, the water level won't raise or fall as the ice melts, it just replaces the space it once filled with water, leaving you with a full cup of water.


Will a glass of water filled to the brim with a cube of ice floating in it rise when ice melts?

No. The ice will melt such that it fills the volume of ice that the submerged part of the cube displaces.

Related questions

Does the glass overflow when its filled to the brim and ice melts?

No, the glass will only overfill when disturbed


Would a glass that was filled to the brim with ice and water would it overflow?

No. The volume taken up by the ice gets smaller as it melts. This makes the total volume of ice and water in the glass smaller as time passes. So the glass will not overflow


Will water pour out of the glass when the ice melts into a full glass of water?

If he glass was full and you put ice cubes in it would overflow strait away.


When ice cube floating in a tumbler of water melts completely why there is no overflow of water?

Its actually quite simple. The answer would be Anomalous expansion of Water, which means that the volume the Ice cubes are consuming in a glass filled upto the brim is more than water alone. When Ice melts and comes back into water form, it uses lesser volume (space) in the glass. Hence it does not allow the glass to overflow as the person pouring into the glass had poured in keeping into view the level of the ice (which uses more volume).


Will water overflow when the ice in the cup completely filled with water melts completely?

If you are asking if a cup filled with water and ice, when the ice melts, will the water overflow, then the answer is no. As the ice becomes water, then it loses its ability to displace the water that it was first displacing as it was ice. So in the end, the water level won't raise or fall as the ice melts, it just replaces the space it once filled with water, leaving you with a full cup of water.


Is it impossible for the water to overflow if the ice berge melts?

it is possible.. :)


Does glass melts in water?

no


Will a glass of water filled to the brim with a cube of ice floating in it rise when ice melts?

No. The ice will melt such that it fills the volume of ice that the submerged part of the cube displaces.


What degrees does glass melt at?

The temperature at which glass melts is highly dependable upon it's chemical composition but average glass melts between 1400 and 1600 degrees Celsius.


How come rubber and glass don't melt?

Glass melts all the time.


When an ice cube in a glass of water melts the water level in the glass?

increases


How is glass created?

Glass is created from sand being melted by the sun, then after it melts it turns into glass. That is why there is glass on the beach because the sand turns into glass.