Verify that the equipartition theory holds by determining the ratio of the population of molecules in the 2nd vibrational energy level relative to the first vibrational energy level. Assume that the temperature is 3,024 K, and that the separation between energy levels is 1 x 10-20 J. Express your answer to three decimal places (X.XXX).

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Boltzmann statistics of Ideal gas

In statistical mechanics and thermodynamics, Maxwell - Boltzmann statistics explains the statistical distribution of the energies of the classic gas molecules over different states in thermal equilibrium. Maxwell Boltzmann statistics helps us to derive the Maxwell - Boltzmann distribution of ideal gas molecules, which is the result of the kinetic theory of gases.