Acoustic is macroscopic description of the movement of atoms and molecules
Well, I guess you should frame your question more precisely. However, I will try to answer your question to the best of my understanding. The temperature T would mean energy of the order of kT where k is the Boltzman's constant.
http://hyperphysics.phy-astr.gsu.edu/hbase/Kinetic/eqpar.html
This energy should be of the same order as the vibration energy (VE) state of the air molecules. Only then, the heat energy would be able to trigger a vibrational rearrangement of the air molecules. And then using simple Maths you could obtain T = VE / k.
For example, typical frequencies of molecular vibrations range from less than 1013 to approximately 1014 Hz, corresponding to wavenumbers of approximately 300 to 3000 cm-1 .
The VE mode of C2 H4 is 826 cm-1 and of N2 is 2331 cm-1. And, VE mode of air molecules, i..e, Oxygen O2 , is 1556 cm-1 .
https://www.cfa.harvard.edu/hitran/vibrational.html
I assume you know how to convert these numbers into units of energy, Joules?
http://web.iitd.ac.in/~nkurur/2012-13/Isem/cyl501/part_fn_worked_examples.pdf
Some excellent literature on these topics are:
1) Bhatia, Ultrasonic Absorption: An Introduction to the theory of sound absorption and dispersion in gases, liquids and solids, Dover Publications, New York, 1967.
2) Markham, “Absorption of sounds in fluids”, Rev. Mod. Phys., 1951.
3) Baueriot, “Influences of transport mechanisms on sound propagation in gases”, Adv. Mol. Relax. Proc., 1972.
Hope that helps.
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