Intro physical chemistry

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jaejoon89
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1a. Find the number of vibrational, rotational, and translational degrees of freedom of CH4 and CO2.
1b. Use the equipartition theorem to calculate the molar specific heat for hydrogen (in gas state).

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Attempt at solution:

1a.

# traslational degrees of freedom (d.o.f.) is 3 for CO2, 3 for CH4.
# rotational d.o.f. for CO2 (linear) is 2, for CH4 (nonlinear) 3
# vibrational d.o.f. for CO2 (linear) is 3N - 5 = 3(3) - 5 = 4, for CH4 (nonlinear) is 3N - 6 = 3(5) - 6 = 9

Is this correct? Do you then add them all up or multiply them or something? What does this all mean exactly?

1b.

Equipartition theorem => Cv = 5R/2

?

I really have no idea how to do this one... How do you apply the theorem here?
 

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