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The dissociation energy of a molecule is the energy required to break apart the molecule into its separate atoms. The dissociation energy fo
Question
The dissociation energy of a molecule is the energy required to break apart the molecule into its separate atoms. The dissociation energy for a particular molecule is 1.12 × 10-18 J. Suppose that this energy is provided by a single photon.
Determine the (a) wavelength and (b) frequency of the photon. (c) In what region of the electromagnetic
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2021-07-28T21:00:38+00:00
2021-07-28T21:00:38+00:00 1 Answers
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Answer:
(a) 1.78 * 10^(-7) m
(b) 1.69 * 10(15) Hz
(c) Ultraviolet light
Explanation:
(a) To determine the wavelength, we use one of the formulae of energy of a wave:
E = hc/λ
Where h = Planck’s constant
c = speed of light
λ = wavelength.
Therefore, wavelength, λ, is:
λ = hc/E
λ = (6.626 * 10^(-34) * 3 * 10^8) / (1.12 * 10^(-18))
λ = 1.775 * 10^(-7) m
This is the wavelength of the photon.
(b) Using formula for speed of a wave, we can find the frequency:
c = λf
Where f = frequency.
f = c/λ
f = (3 * 10^8) / (1.775 * 19^(-7))
f = 1.69 * 10^(15) Hz
This is the frequency of the photon.
(c) By comparing the frequency and wavelength of the photon with the electromagnetic spectrum, the proton is in the region of ultraviolet light.