Question

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

Answer #1

where N_{f} and N_{i} are popualtion of excited
and ground state respectively

g_{f} and g_{i} are the degeneracies of excited
and ground state respectively

*k _{B}* = Boltzmann constant = 1.38 x
10

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,
N_{f}/N_{i} should be 1.

T = 3.43 10^{27}
K

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