Calculate the number of photons of light with a wavelength of 3000 pm that provide 2 J of energy.

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter6: Electronic Structure And The Periodic Table
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Problem 5QAP: The ionization energy of rubidium is 403 kJ/mol. Do x-rays with a wavelength of 85 nm have...
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Calculate the number of photons of light with a wavelength of 3000 pm that provide 2 J of energy.

Expert Solution
Step 1
It is required to calculate the total number of photons having a total energy of 2 J. Energy of one photon can be calculated as,
Chemistry homework question answer, Step 1, Image 1
Step 2
Here, ‘h’ is Planck’s constant and ‘ν’ is the frequency of radiation. Expressing ν in terms of speed of light (c)  and wavelength (λ),
Chemistry homework question answer, Step 2, Image 1
Step 3
Substituting the value of ‘ν’ in equation, we get the energy of one photon, which is given as,
Chemistry homework question answer, Step 3, Image 1
Step 4
The equation obtained in the previous step is the energy of a single photons and for ‘N’ photons, the total energy is given as,
Chemistry homework question answer, Step 4, Image 1
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