# A kilogram of a solid is next to a kilogram of a liquid. Which has the bigger volume? ?

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• If you mean for the same substance , the liquid always has a larger volume than the solid, except for water , which expands when it freezes.

If you mean differing materials at room temperature, there’s no set rule although the densest tend to be solids , gold, platinum, iridium and osmium, although mercury is very dense and is denser than lead or iron.

• V=M/D, where

V= volume

M=mass

D=density

of the material.

Vs/Vl=(Ms/Ml)(Dl/Ds)

=>

Vs/Vl=Dl/Ds

(since Ms=Ml)

Thus,

if Dl/Ds>1, then Vs>Vl;

if Dl/Ds<1, then Vs<Vl.

• In general, this question can only be answered as a probability.  The liquid PROBABLY has slightly higher volume.  But there is a catch here.  You have to answer a few questions about the solid first.

If the solid is crystalline osmium, then there is no question that the liquid will be larger.  But if the solid is cellulose-based foam insulation then the solid will be bigger.

Here is a simple test.  If you have a smaller sample of the solid material, drop it in a large vat of the the liquid.  If it floats then the 1 kg solid will be larger than the 1 kg of liquid.  If it sinks quickly to the bottom, the liquid will be larger.  And if it barely floats at the surface, they will be almost the same.

• That would depend on density.

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• you cannot say based on the information that you are given.  It is generally true that the solid will have a smaller volume, but there are loads of exceptions.  A kg of liquid mercury will have a much smaller volume than a kilogram of HDPE plastic, say.

• Even water is backward.  Ice expands as it freezes, so while most compounds would have the liquid as having the larger volume, with water, the solid has a larger volume.

So we need to know what you are comparing.

• depends on the substances, could be either way.

A kg of lead has a smaller volume than a kg of water

A kg of balsa wood has a larger volume than a kg of water

• Do you mean "of the same substance"?

Generally, the liquid will have a lighter density than the solid because of the bonds being weaker (more freedom of movement between molecules) and the mechanical movement of each atom (they each need a tiny bit more room to vibrate as they store "heat" energy).

However, there are notable exceptions. Water is well known to increase in volume as it goes from liquid to solid (ice floats on cold water). Water attains it maximum density around +4C.

But if you allow different substances, then your question is not solvable.  Lliquid mercury is a LOT denser than solid aluminium, for example. Therefore, the volume of a kg of liquid mercury will be smaller than the volume of a kg of solid aluminium.

• Anónimo
hace 1 mes

Depends. A kg of feathers has a bigger volume than a kg of steel.

• That depends entirely on the properties of the solid and the properties of the liquid.  Typically, the solid state of something tends to take up less volume than when it is in liquid form, but then you get weird cases like ice and water, where that's all reversed.

There's no universal answer to this question.  It's all a case-by-case thing.

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