Determine the energy of a photon with a wavelength of 404 nm.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Question 22 of 26**

**Determine the energy of a photon with a wavelength of 404 nm.**

This question is asking for the calculation of the energy of a photon given its wavelength.

To solve this:

1. **Use the formula:** 
   \[ E = \frac{hc}{\lambda} \]
   where:
   - \( E \) is the energy of the photon,
   - \( h \) is Planck's constant (\( 6.626 \times 10^{-34} \, \text{J·s} \)),
   - \( c \) is the speed of light (\( 3.00 \times 10^8 \, \text{m/s} \)),
   - \( \lambda \) is the wavelength in meters (convert 404 nm to meters: \( 404 \times 10^{-9} \, \text{m} \)).

2. **Calculate \( E \):**
   \[ E = \frac{(6.626 \times 10^{-34} \, \text{J·s})(3.00 \times 10^8 \, \text{m/s})}{404 \times 10^{-9} \, \text{m}} \]

3. **Input the calculated value:**
   Enter the energy in joules (J) in the provided input field.

**Interface Description:**

- The user interface includes a keypad for number input with options for digits, decimal points, and scientific notation (x10).
- There is a clear (C) button and a backspace (delete) function.
- A textbox is available to enter the result in joules (J).
Transcribed Image Text:**Question 22 of 26** **Determine the energy of a photon with a wavelength of 404 nm.** This question is asking for the calculation of the energy of a photon given its wavelength. To solve this: 1. **Use the formula:** \[ E = \frac{hc}{\lambda} \] where: - \( E \) is the energy of the photon, - \( h \) is Planck's constant (\( 6.626 \times 10^{-34} \, \text{J·s} \)), - \( c \) is the speed of light (\( 3.00 \times 10^8 \, \text{m/s} \)), - \( \lambda \) is the wavelength in meters (convert 404 nm to meters: \( 404 \times 10^{-9} \, \text{m} \)). 2. **Calculate \( E \):** \[ E = \frac{(6.626 \times 10^{-34} \, \text{J·s})(3.00 \times 10^8 \, \text{m/s})}{404 \times 10^{-9} \, \text{m}} \] 3. **Input the calculated value:** Enter the energy in joules (J) in the provided input field. **Interface Description:** - The user interface includes a keypad for number input with options for digits, decimal points, and scientific notation (x10). - There is a clear (C) button and a backspace (delete) function. - A textbox is available to enter the result in joules (J).
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