How Much Energy Do CO Molecules Need for a Rotational Transition?

AI Thread Summary
CO molecules require light absorption at a frequency of 1.16 x 10^11 Hz to transition from the lowest to the next highest rotational energy level. The energy for this transition is calculated using the equation E = hv, resulting in approximately 7.69 x 10^-23 J per molecule. When converted to kJ/mol, this energy amounts to about 0.0463 kJ/mol. The calculations confirm that the correct answer aligns with the derived value. This highlights the specific energy requirements for rotational transitions in CO molecules.
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The absorption of light of frequency 1.16 x 10^11 Hz is required for CO molecules to go from the lowest rotational energy level to the next highest rotational energy level. Determine the energy for this transition in kJ/mol. h = 6.626 x 10-34 J s
a. 7.69 x 10-23 kJ/mol
b. 949 kJ/mol
c. 46.3 kJ/mol
d. 0.0463 kJ/mol
E = hv
= (1.16*10^11 Hz)(6.626*10^-34 J*s)
= 7.686 *10^-23 J = 7.69*10^-26 kJ* (6.02*10^23 molecules/ 1 mol) = 0.04629 kJ/mol
Thanks.
 
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