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    quantum number of the most intensely populated rotational state as a function of temperature

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    Using the Boltzmann distribution given below, determine Jmax (quantum number of the most intensely populated rotational state) as a function of temperature. Then find Jmax for CN+ at 298 K and 1100 K.
    and CN+ bond length is 0.129 nm
    the Boltzman distribution: (Ni/N)= (exp(-ei/KT))/(sigma j exp(-Ej/KT)).

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    https://brainmass.com/chemistry/general-chemistry/populated-rotational-state-function-temperature-41276

    Solution Preview

    The attachment references a CO2 Laser but the theory and path is shown
    you have a bond length to start with so you can use the reduced mass calculation and the bond length to obtain the moment of inertia and B and Jmax as function of temperature.

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    The data portion of this shows the developed equations that you require.
    Nj/N­­0­­ = ...

    Solution Summary

    The solution determines Jmax (quantum number of the most intensely populated rotational state) as a function of temperature based on the given Boltzmann distribution.

    $2.19