2.5 One knows from spectroscopy that the nitrogen molecule possesses a sequence of vibrationally excited states with

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2.5 One knows from spectroscopy that the nitrogen molecule possesses a sequence of vibrationally excited states with energies Er

= ħω(r + ), r = 0, 1, 2, . . . . If the level spacing ħω is 0.3 eV, what are the relative populations of the first excited state (r = 1) and the ground state (r = 0), if the gas is in thermal equilibrium at 1000 K?

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