Question

Suppose that a molecle has just two energy levels. The ground state is singly degenerate and...

Suppose that a molecle has just two energy levels. The ground state is singly degenerate and the excited state is triply degerate. If the enrgy difference between the two states (on a molar basis) is 52 kJ/mol at what temperature will the two states be equally populated?

QUANTUM CHEMISTRY

Homework Answers

Answer #1

where Nf and Ni are popualtion of excited and ground state respectively

gf and gi are the degeneracies of excited and ground state respectively

kB = Boltzmann constant = 1.38 x 10-23 J K-1

E is the energy difference between the two states = 52 kJ/mol = 52000 J/mol

T = temperature (Kelvin)

So, for two states to be equally populated, Nf/Ni should be 1.

T = 3.43 1027 K

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