# Problem: Ultraviolet radiation and radiation of shorter wavelengths can damage biological molecules because these kinds of radiation carry enough energy to break bonds within the molecules. A typical carbon-carbon bond requires 348 kJ/mol to break.What is the longest wavelength of radiation with enough energy to break carbon-carbon bonds?

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###### FREE Expert Solution

We’re being asked to determine the longest wavelength that has enough energy to break the carbon-carbon bonds.

This means we need to determine the wavelength with equivalent energy to break carbon-carbon bonds. This will be the wavelength with an energy of 348 kJ/mol.

Recall that the energy of a photon (E) is given by:

where:

h = Planck’s constant (6.626 × 10–34 J • s)

v = frequency (in s–1)

Also, recall that the frequency (v) and wavelength (λ) are related:

where:

c = speed of light (3.0 × 108 m/s) ###### Problem Details

Ultraviolet radiation and radiation of shorter wavelengths can damage biological molecules because these kinds of radiation carry enough energy to break bonds within the molecules. A typical carbon-carbon bond requires 348 kJ/mol to break.

What is the longest wavelength of radiation with enough energy to break carbon-carbon bonds?