Thermodynamics question about density

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An object that is twice as dense as another of the same volume may contain roughly twice as much heat energy, assuming equal temperature, but this also depends on the heat capacities of the materials involved. The discussion highlights that while doubling density could imply doubling heat capacity, this relationship holds true primarily for ideal gases, and may vary for non-ideal gases or solids due to intermolecular forces. The conversation shifts to practical applications, such as calculating fuel costs for producing foam glass, which has a lower density than solid glass. Overall, the complexities of heat capacity and density are acknowledged, emphasizing the need for careful consideration of material properties. Understanding these principles is crucial for accurate thermal energy calculations in various materials.
Jay Lakoda
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If an object is twice as dense as another object of the same volume, would the more dense object be able to contain roughly twice as much heat energy, given that the temperature was the same in each?
 
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Roughly yes.
 
Doesn't it also depend on the heat capacities of the materials?

Chet
 
Chestermiller said:
Doesn't it also depend on the heat capacities of the materials?

Chet

I think the OP is actually simply asking about the heat capacities. His question is basically "if I double the density, keeping the volume constant, do I double the heat capacity?". If I recall correctly, this should be true for an ideal gas. I'm not sure if it's still true for a non-ideal gas, which is why I said "roughly".
 
Matterwave said:
I think the OP is actually simply asking about the heat capacities. His question is basically "if I double the density, keeping the volume constant, do I double the heat capacity?". If I recall correctly, this should be true for an ideal gas. I'm not sure if it's still true for a non-ideal gas, which is why I said "roughly".
When he said "object", I naturally assumed he was talking about solids.
 
Chestermiller said:
When he said "object", I naturally assumed he was talking about solids.

Ah, in that case, I'm not sure. I would think the inter-molecular forces would affect the heat capacity greatly. I'm an astrophysicist, so everything is an ideal gas to me... :D
 
Please compare heat capacities of He and Xe.
 
Bystander said:
Please compare heat capacities of He and Xe.

Ah you are right, I was thinking of doubling the density being doubling the number of atoms not doubling the mass of the atoms. @Jay Lakoda : neglect my first answer, it has too many assumptions in it to be useful.
 
Thanks for the replies. By "object" I just meant a clump of molecules in any arangement. Not necessarily a solid or a gas. I'm looking at it this way: molecules are bouncing around in object #1. The average speed of the molecules is its temperature, which is the same as object #2. But object #2 is twice as dense. The heavier molecules of object #2 are moving at the same speed as object #1, but they have twice the momentum which is thermal energy. Of course there are lots of variables that slight alter things, but that's why I used the term "roughly."

But I'm asking the question because I want to confirm that my understanding is correct.

And more practical speaking, what I want to know is how much money would the fuel cost to produce 4,000 cubic feet of foam glass (which has a much smaller density than solid glass.)
 
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