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1. The J = 0 J =1 transition of carbon monoxide has been measured at 3.842 cm a.

ID: 556280 • Letter: 1

Question

1. The J = 0 J =1 transition of carbon monoxide has been measured at 3.842 cm a. Convert this value to joules. b. Calculate the wavelength of the photon. c. In what region of the electromagnetic spectrum is this photon? d. If a molecule in the J = 1 state loses energy and rotates with the e nergy given by J = 0, what is the energy, in joules, of the emitted photon? What is the moment of inertia of the CO molecule? If e. e absorption of this photon is from a molecule comprised of 12C and 160, what is the bond length of the CO molecule? f. th

Explanation / Answer

Ans (a) Energy(in cm-1) = wave number = 3842 cm-1

Energy in J = 9842 cm-1 * h c = 9842 * 6.022 * 10^-34 Js* 3.00 * 10^10 cms-1 = 1.78 * 10^-19 J

(b) wave no. = 1 / wave length

wave length = 1 / wave no. = 1 / 3842 cm-1 = 2.6 * 10^-4 cm = 2.6 * 10^-6 m

(c) Region belong to Infrared ( IR)