Is the Mass-Density Relationship Always 1:1?

[jaketodd]

Are mass and density always in a 1 to 1 relationship? For example, can there be a material that takes up more space without it having more mass than another material that takes up less space?

Thanks,

Jake

 

[Dale]

I can't parse your English. Can you rephrase the question?

 

[TheAlkemist]

*edit*
Yes. Ice vs water. When water freezes (to ice) it increases its volume (space) by about 9% due to the "open lattice" crystal structure.
See: http://www.elmhurst.edu/~chm/vchembook/122Adensityice.html

 

[jaketodd]

I can't parse your English. Can you rephrase the question?

If an object has mass X, then can there be another object, also with mass X, which takes up more space than the first object?

 

[jaketodd]

If you mean mass and density being directly proportional, yes.

Example = Ice vs water

Ok, so a unit of water is smaller than if you freeze that water, but does the ice actually take up more space, not just the dimension lengths of the object, but taking up more space (more matter per unit area)?

 

[TheAlkemist]

Ok, so a unit of water is smaller than if you freeze that water, but does the ice actually take up more space, not just the dimension lengths of the object, but taking up more space (more matter per unit area)?

What do you mean by "dimension lengths"?

 

[jaketodd]

What do you mean by "dimension lengths"?

The length, width and height of the object.

 

[pallidin]

Take some water and have 1-ounce remain liquid, while a second(separate) ounce is frozen.

They both weigh the same(same mass), but the frozen ounce has greater volume and less density than the liquid sample.

 

[jaketodd]

Take some water and have 1-ounce remain liquid, while a second(separate) ounce is frozen.

They both weigh the same(same mass), but the frozen ounce has greater volume and less density than the liquid sample.

This may clarify my question:

Under any circumstances, can something block more photons, for example, than something that has more mass?

 

[russ_watters]

If an object has mass X, then can there be another object, also with mass X, which takes up more space than the first object?

Of course: otherwise all objects would have the Sam density.

 

[Integral]

A kg of Al vs a kg of Iron? Or the other way round, compare the mass of 1cm³ of Al vs the mass of 1cm³ of Iron.

Could you try to be a bit more specific in your question.

 

[Integral]

This may clarify my question:

Under any circumstances, can something block more photons, for example, than something that has more mass?

Please try to figure out just what you are asking. A m² of card board has a much bigger shadow then a similer mass of iron or any other metal.

 

[Ali Inam]

Obviously, the mass will remain the same

But the volume can't be the same if you are considering water and ice

So,

Density may change

 

[vaibhav1803]

$$M=\oint\rho \partial V$$

...it isn't allowing latex preview so there's supposed to be a volume element
$$\partial V$$ in there in case its missing.

for a constant density case,

$$M =\rho V$$

the rest i believe you can figure out yourself...through the equation

 

[jaketodd]

This may clarify my question:

Under any circumstances, can something block more photons, for example, than something that has more mass?

Perhaps a material where all the molecules are polarized and facing the same direction compared with a material with the same number of molecules but forming structures that wouldn't let as many photons through? In this example, the two materials would have the same mass. Is this possible?

Thanks,

Jake

 

[vaibhav1803]

completely possible, any reason why it shouldn't happen?

 

[jaketodd]

completely possible, any reason why it shouldn't happen?

Anyone?

 

[Dale]

If an object has mass X, then can there be another object, also with mass X, which takes up more space than the first object?

Obviously yes. Consider a 1 kg piece of lead and a 1 kg piece of Styrofoam.

I think you are not asking what you really want to know. Please try to think your question through a bit better.

 

[TheAlkemist]

This may clarify my question:

Under any circumstances, can something block more photons, for example, than something that has more mass?

Perhaps a material where all the molecules are polarized and facing the same direction compared with a material with the same number of molecules but forming structures that wouldn't let as many photons through? In this example, the two materials would have the same mass. Is this possible?

Thanks,

Jake

OK. I might get what you're asking here. I think it's a question of substance and form.

Substance:
The mass of an object is equal to the sum of the masses of all the atoms/molecules that make it up.

Form:
The form a material assumes depends on the nature of the interactions between the atoms/molecules that it's made of. Between the interacting atoms/molecules is "space", the amount of which essentially determines the density of the material.

The way a material interacts with photons certainly depends on how the atoms/molecules are arranged.

DaleSpam explains this above with lead and Styrofoam.