Thermodynamics question about density

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    Density Thermodynamics
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SUMMARY

The discussion centers on the relationship between density, heat capacity, and energy storage in materials. It is established that if an object is twice as dense as another with the same volume, it can contain roughly twice as much heat energy, contingent on the heat capacities of the materials involved. The conversation highlights that this principle holds true for ideal gases, while the behavior of non-ideal gases may vary. The participants also emphasize the importance of molecular weight and inter-molecular forces in determining heat capacity.

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  • Understanding of heat capacity and its relation to density
  • Familiarity with ideal and non-ideal gas laws
  • Knowledge of molecular dynamics and thermal energy concepts
  • Basic principles of thermodynamics
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  • Research the heat capacities of various gases, specifically Helium (He) and Xenon (Xe)
  • Explore the implications of density on thermal energy storage in solids versus gases
  • Study the effects of inter-molecular forces on heat capacity in different materials
  • Examine practical applications of thermal energy storage in materials like foam glass
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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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