Consider the probability of finding a molecule in its groundstate, P(e0), or first excited state, P(e1), given that energyseparation btwn the 2 states is e1-e0=deltae=2.5 kJ/mol. You mayassume that the states are nondegenerate (g0=g1=1), unless statedotherwise.
A. What is the ratio of the excited and ground statepopulations, P(e1)/P(e0), at room temp, T~300K? ( NOte thatRT=NakbT~2.5 kJ/mol at 300 K)
B. What would happen to the ratio, P(e1)/P(e0) if the temp wereincreased 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 itsexcited to ground state vibrational population, P(e1)/P(e0) at T~300 K. ( NOte that the energy of the transition is the same as thatof a photon of the same frequency, v, and kbT/hc~ 209 cm-1 at 300K)
D. GIven that the first rotational transition of Cl2 has afrequency of ~ 0.5 cm-1 and a degeneracy of g0=1 for the groundstate and g1=3 for the first excited state, calculate the ratio ofthe excited to ground state rotational populations P(e1)/P(e0) atT~ 300 K.
I need help ASAP. I want step-by-step solution.
Consider the probability of finding a molecule in its groundstate, P(e0), or first excited state, P(e1), given that energyseparation btwn the 2 states is e1-e0=deltae=2.5 kJ/mol. You mayassume that the states are nondegenerate (g0=g1=1), unless statedotherwise.
A. What is the ratio of the excited and ground statepopulations, P(e1)/P(e0), at room temp, T~300K? ( NOte thatRT=NakbT~2.5 kJ/mol at 300 K)
B. What would happen to the ratio, P(e1)/P(e0) if the temp wereincreased 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 itsexcited to ground state vibrational population, P(e1)/P(e0) at T~300 K. ( NOte that the energy of the transition is the same as thatof a photon of the same frequency, v, and kbT/hc~ 209 cm-1 at 300K)
D. GIven that the first rotational transition of Cl2 has afrequency of ~ 0.5 cm-1 and a degeneracy of g0=1 for the groundstate and g1=3 for the first excited state, calculate the ratio ofthe excited to ground state rotational populations P(e1)/P(e0) atT~ 300 K.
I need help ASAP. I want step-by-step solution.
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