Specific heat capacity for a monocromatic gas

AI Thread Summary
The discussion revolves around the specific heat capacity of monocromatic gases and whether it can be considered differently beyond the conventional approach based on degrees of freedom. The formula c=(3/2)*n*R/m is referenced, highlighting its dependence on mass, m, and number of moles, n. Participants note that specific heat capacity can vary with temperature and state, particularly at low temperatures where quantum effects reduce capacity values. The Einstein and Debye models are suggested as important references for understanding these variations. Overall, the conversation emphasizes the complexity of heat capacity in relation to temperature and quantum mechanics.
gemt
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is there another way of considering the specific heat capaciaty of a material (many gas) other than with respect to the number of degrees of freedom with gives a constant out put for all monocrmatic gases for all temperature and pressure.

For a monocromatic gas c=(3/2)*n*R*m

where m = mass of particle
n = number of moles
R = gas constant

Any pointers in the right direction would be much appreciated.

Thank you.
 
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Are you looking for just a microscopic representation or macroscopic? There are several ways of modeling a substance's specific heat that does vary with temperature and state. Unfortunately I don't know the science behind this (Im just an engineer) for the microscopic point of view only the macro.
 
gemt said:
(snip)For a monocromatic gas c=(3/2)*n*R/m
where m = mass of particle
n = number of moles
R = gas constant
(snip).

See Einstein and Debye plus heat capacity.
 
The heat capacity is only a constant value after and beyond reaching a certain temperature. At low temperatures, the value of the heat capacity rapidly drops off towards zero due to quantum effects. As someone mentioned see the Einstein/Debye explanation for more.
 
can anyone recommend the best place to llok the einstein debye explanation & formulas up please?
 
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