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lxazy
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Homework Statement
The carbon-dioxide has nondegenerate vibrational energies εr=(h/2π)ω(r+1);r=0,1,2..., where ω=(1.26*10^14)s^-1. What is the contribution of these vibrational modes to the molar heat capacity of carbon-dioxide gas at T=400K?
Homework Equations
Z=∑exp(-(h/2π)ω(r+1)/k_BT)
F=-k_BTlnZ
Cv=-T(d^2F/dT^2) keeping the volume constant
The Attempt at a Solution
I checked in some books, but did not find any relevant examples about this type of problems.
I found some formulas and process for solving this kind of question, but for diatomic molecules. Could someone please tell me whether these equations are the ones needed in this problem, if not, please let me know the correct equations and method. THANK YOU!
Z=∑exp(-(h/2π)ω(r+1)/k_BT)
F=-k_BTlnZ
Cv=-T(d^2F/dT^2) keeping the volume constant