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a) The vibrational frequencies of F2, Cl2, Br2, and I2are 917 cm-1, 525 cm-1, 325 cm-1,...

a) The vibrational frequencies of F2, Cl2, Br2, and I2are 917 cm-1, 525 cm-1, 325 cm-1, and 208 cm-1. Which molecule (F2, Cl2, Br2, or I2) has the largest number of thermally accessible states? Make a prediction and explain your reasoning before you perform any calculations, but assume that all molecules are exposed to the same temperature.

b) Treat the molecular vibrations as harmonic oscillators to calculate the vibrational partition function of the halogens and the population of their first three vibrational energy levels (i = 0, 1, 2) at 500 K.

qv

p0

p1

p2

F2

Cl2

Br2

I2

c)At what temperature would the vibrational partition function of fluorine be identical to the vibrational partition function of iodine calculated at 500 K?

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genius_generous answered 2 years ago
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