Carbon dioxide is a linear molecule. The carbon–oxygen

Chapter 11, Problem 75GP

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Carbon dioxide is a linear molecule. The carbon–oxygen bonds in this molecule act very much like springs. Figure 11–58 shows one possible way the oxygen atoms in this molecule can oscillate: the oxygen atoms oscillate symmetrically in and out, while the central carbon atom remains at rest. Hence each oxygen atom acts like a simple harmonic oscillator with a mass equal to the mass of an oxygen atom. It is observed that this oscillation occurs at a frequency \(f=2.83 \times 10^{13} \mathrm{~Hz}\). What is the spring constant of the C⎻⎻O bond?

Equation transcription:

Text transcription:

f=2.83times 10^{13}{~Hz}