Heat capacity of air at low temperatures

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Discussion Overview

The discussion centers on the search for tabulated values of the heat capacity of air, specifically at low temperatures and pressures. Participants are looking for reliable data on the specific heat at constant pressure (c_{p}) and the ratio of specific heats (γ = c_{p}/c_{v}) in the gas phase, as existing resources primarily provide information at higher pressures.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests tabulated values for c_{p} and γ at low temperatures and pressures, noting difficulty in finding such data.
  • Another participant provides a link to a source with values down to -150°C, but these are at 1 atmosphere pressure.
  • A different participant mentions finding data from NIST, but specifies that it pertains to the dew/bubble lines where air becomes liquid, not in the gas phase.
  • One participant suggests a source for determining c_{p} and c_{v} for individual components of air, proposing that the overall values could be derived from partial pressures, though this remains uncertain.
  • Another participant comments on the independence of specific heats from pressure, suggesting that tabular values from the Engineering Toolbox could be used for low pressure and temperature calculations, while acknowledging the limits of scientific accuracy.
  • A participant mentions finding a book titled "Thermodynamic properties of air" that may provide the needed information.

Areas of Agreement / Disagreement

Participants express varying degrees of uncertainty regarding the availability and applicability of heat capacity data at low temperatures and pressures. While some sources are provided, there is no consensus on a definitive resource that meets the original request.

Contextual Notes

Participants note that the specific heats are largely independent of pressure, but this is contingent on the conditions of the gas phase. There are limitations regarding the applicability of certain tabulated values to low pressure scenarios.

jpo
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Hello,

would someone know where can one find tabulated values for the heat capacity of air c_{p} or the ratio \gamma = c_{p}/c_{v}?

I need those at low temperatures and pressures, e.g. tending towards zero.

So far I was only able to find \gamma tabulated for high pressures in Perry's Chemistry Handbook.

Many thanks in advance.
 
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Thank you, nasu

these are at p = 1 atmosphere

I have been trying to find data for low pressures and temperatures
 
This is what I also found:

http://www.nist.gov/data/PDFfiles/jpcrd581.pdf

But the low temperature/pressure data is only on the dew/bubble lines where air becomes liquid...

I need data for air in the gas phase
 
Last edited by a moderator:
Here's a source where you can determine Cp and Cv for the individual components (ie: N2, O2, Ar, etc...) for any pressure and temperature, though it doesn't combine those gasses in the form of air. I'm not absolutely sure but I would assume the overall Cp and Cv would simply be some function of the partial pressures.
http://webbook.nist.gov/chemistry/fluid/

Maybe someone else can provide a function for how they get combined.

If you can't get an answer or need to check the values, I have a computer database that can output Cp and Cv for air at any pressure and temperture.
 
Q_Goest,

thank you very much indeed

Perhaps this is the formula you were referring to
 

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jpo said:
Thank you, nasu

these are at p = 1 atmosphere

I have been trying to find data for low pressures and temperatures

Although gamma is a dimensionless number, its two components are not dimensionless. They are usually expressed in units of energy per unit of mass. As such, they are largely independent of pressure.

Specific heat at constant volume is obviously independent of pressure. Specific heat at constant pressure has the same value for a pressure of 50 hPa as for a pressure of 1000 hPa.

I think that you may safely use the tabular values in the Engineering Toolbox for your low pressure and low temperature calculations. Within the accepted limits of scientific accuracy and precision, of course.
 
I was able to find the book "Thermodynamic properties of air" and it will do

Thank you all for your replies
 

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