Please help with my study guide I’m so lost Question 15 (10 points): Determine t

Question

Please help with my study guide I’m so lost Question 15 (10 points): Determine the lowest vibrational transition in the infrared spectrum of diatomic "NO The force constant for the bond is k-2490 N/m The atomic masses are "N-14.00 u and 1O 15.99u Give your answer in wavenumbers to four significant figures Answer The N160 anion has a smaller force constant than WN16o. Is the lowest vibrational transition for the "N16 anion red-shifted, blue-shifted, or unchanged as compared to 1N O*? 14N1 O anion vibrational transition is (circle one red-shifted blue-shifted unchanged

Explanation / Answer

15. for 14N16O

reduced mass (u) = [(14 x 15.99)/(14 + 15.99)]/6.023 x 10^26 = 1.24 x 10^-26 kg

force constant (k) = 2490 N/m

using,

frequency (v) = (1/2pi) x sqrt.(k/u)

                      = (1/2 x 3.14) x sq.rt.(2490/1.24 x 10^-26)

                      = 7.13 x 10^13 s-1

In wavenumber units,

lowest vibrational frequency = 7.13 x 10^13 s-1/3 x 10^10 cm/s

                                              = 2377 cm-1

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With NO- anion having lower force constant, the lowest vibrational frequency would show a,

red-shifted

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