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
![**Title: Calculating Photon Energy**
**Objective:**
Determine the energy of a photon with a given wavelength.
**Given Data:**
- Wavelength (\( \lambda \)): 339 nm (nanometers)
- Planck's constant (\( h \)): \( 6.626 \times 10^{-34} \) J·s
- Speed of light (\( c \)): \( 3.00 \times 10^{8} \) m/s
**Formula:**
The energy of a photon can be calculated using the formula:
\[ E = \frac{h \cdot c}{\lambda} \]
where:
- \( E \) is the energy of the photon,
- \( h \) is Planck's constant,
- \( c \) is the speed of light,
- \( \lambda \) is the wavelength (in meters).
**Calculation Steps:**
1. Convert the wavelength from nanometers to meters:
\[ 339 \, \text{nm} = 339 \times 10^{-9} \, \text{m} \]
2. Substitute the values into the formula:
\[ E = \frac{6.626 \times 10^{-34} \, \text{J·s} \times 3.00 \times 10^{8} \, \text{m/s}}{339 \times 10^{-9} \, \text{m}} \]
3. Simplify to find \( E \).
**Note:**
On the right side of the image, a calculator interface displays numerical buttons labeled from 0 to 9, along with a plus/minus (±) button, a decimal point, and an enter button marked as "J". This suggests a calculation setup is ready for input.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81a44892-e725-436e-9c8e-21f599a0ba84%2F7775e913-0a6b-48c9-8bc1-3d672df709e5%2Fr7g865g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Photon Energy**
**Objective:**
Determine the energy of a photon with a given wavelength.
**Given Data:**
- Wavelength (\( \lambda \)): 339 nm (nanometers)
- Planck's constant (\( h \)): \( 6.626 \times 10^{-34} \) J·s
- Speed of light (\( c \)): \( 3.00 \times 10^{8} \) m/s
**Formula:**
The energy of a photon can be calculated using the formula:
\[ E = \frac{h \cdot c}{\lambda} \]
where:
- \( E \) is the energy of the photon,
- \( h \) is Planck's constant,
- \( c \) is the speed of light,
- \( \lambda \) is the wavelength (in meters).
**Calculation Steps:**
1. Convert the wavelength from nanometers to meters:
\[ 339 \, \text{nm} = 339 \times 10^{-9} \, \text{m} \]
2. Substitute the values into the formula:
\[ E = \frac{6.626 \times 10^{-34} \, \text{J·s} \times 3.00 \times 10^{8} \, \text{m/s}}{339 \times 10^{-9} \, \text{m}} \]
3. Simplify to find \( E \).
**Note:**
On the right side of the image, a calculator interface displays numerical buttons labeled from 0 to 9, along with a plus/minus (±) button, a decimal point, and an enter button marked as "J". This suggests a calculation setup is ready for input.
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