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?

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:


E=hv (1)


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:


λ=cv (2)


where:

c = speed of light (3.0 × 108 m/s)


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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?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Energy of Light concept. You can view video lessons to learn The Energy of Light. Or if you need more The Energy of Light practice, you can also practice The Energy of Light practice problems.

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Based on our data, we think this problem is relevant for Professor Lapeyrouse's class at UCF.