Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section: Chapter Questions
Problem 16QRT
Related questions
Question
Calculate the number of photons of light with a wavelength of 3000 pm that provide 2 J of energy.
Expert Solution
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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](https://content.bartleby.com/qna-images/answer/109cbd16-2b96-4d79-bb88-dc9d65672acc/e13fd960-bf6f-4c8a-9577-a0725d30f01a/ijm2vq8.png)
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](https://content.bartleby.com/qna-images/answer/109cbd16-2b96-4d79-bb88-dc9d65672acc/e13fd960-bf6f-4c8a-9577-a0725d30f01a/pldfbq.png)
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](https://content.bartleby.com/qna-images/answer/109cbd16-2b96-4d79-bb88-dc9d65672acc/e13fd960-bf6f-4c8a-9577-a0725d30f01a/0vqc8vc.png)
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](https://content.bartleby.com/qna-images/answer/109cbd16-2b96-4d79-bb88-dc9d65672acc/e13fd960-bf6f-4c8a-9577-a0725d30f01a/xtah4sc.png)
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