Exciting an Oxygen Molecule An oxygen molecule (O2) vibrates with an energy iden

Question

Exciting an Oxygen Molecule An oxygen molecule (O2) vibrates with an energy identical to that of a single particle of mass m=1.340×10?26kg attached to a spring with a force constant of k = 1230 N/m . The energy levels of the system are uniformly spaced, as indicated in the figure(Figure 1) , with a separation given by hf.

Part A

What is the vibration frequency of this molecule?

Express your answer using four significant figures.

f=_________Hz

Part B

How much energy must be added to the molecule to excite it from one energy level to the next higher level?

Express your answer using three significant figures.

E=__________J

Explanation / Answer

A) f = (1/2x3.14)sqrt(k/m) = (1/6.28)sqrt(1230/1.34 x 10-26) = 4.824369 x 1013 Hz

B) E = hf = 6.626 x 10-34 x 4.824369 x 1013 = 3.1966 x 10-20 J

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