Problem: Carbon absorbs energy at a wavelength of 150 nm. The total amount of energy emitted by a carbon sample is 1.98 x 105 J. Calculate the number of carbon atoms present in the sample, assuming that each atom emits one photon.

FREE Expert Solution

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

Carbon absorbs energy at a wavelength of 150 nm. The total amount of energy emitted by a carbon sample is 1.98 x 105 J. Calculate the number of carbon atoms present in the sample, assuming that each atom emits one photon.

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Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.