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SOLVED:(a) Show that the number of molecules in any given rotational state of a linear molecule is given by NI=C(2 J 1) e^-h c B J(J 1) / k T, where C is independent of J. (b) Use this result to derive eqn 13.39 for the value of J of the most highly populated rotational level. (c) Estimate the temperature at which the spectrum of HCl shown in Fig. 13.44 was obtained. (d) What is the most highly populated level of a spherical rotor at a temperature T ?
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