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Chemistry, 28.01.2020 00:31 maleah12x

Consider the probability of finding a molecule in its ground state, p(e0), or first excited state, p(e1), given that energy separation btwn the 2 states is e1-e0=deltae=2.5 kj/mol. you may assume that the states are nondegenerate (g0=g1=1), unless stated otherwise. a. what is the ratio of the excited and ground state populations, p(e1)/p(e0), at room temp, t~300k? ( note that rt=nakbt~2.5 kj/mol at 300 k)b. what would happen to the ratio, p(e1)/p(e0) if the temp were increased by a factor of 2? why does this make sense? c. given that diatomic molecule cl2 has a vibrational frequency ( in wavenumber units) of 565 cm -1, calculate the ratio of its excited to ground state vibrational population, p(e1)/p(e0) at t~ 300 k. ( note that the energy of the transition is the same as that of a photon of the same frequency, v, and kbt/hc~ 209 cm-1 at 300 k)d. given that the first rotational transition of cl2 has a frequency of ~ 0.5 cm-1 and a degeneracy of g0=1 for the ground state and g1=3 for the first excited state, calculate the ratio of the excited to ground state rotational populations p(e1)/p(e0) at t~ 300 k.

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