What is the energy (in cal) of the emitted photon?

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...
icon
Related questions
icon
Concept explainers
Question
100%

Need help with part b. Thank you!

Here is the transcription and explanation of the educational content provided in the image:

---

**1. Carboxy Rhodamine emits a photon of light with a wavelength of \(5.95 \times 10^{-7}\) m.**

   a) **What is the frequency (s\(^{-1}\)) of the emitted photon?**

   - **Solution:**
     \[
     \text{Wavelength} = 5.95 \times 10^{-7} \, \text{m}
     \]
     We need to find the frequency (ν) of the emitted photon using the formula:
     \[
     \nu = \frac{c}{\lambda}
     \]
     where \( c = 3.00 \times 10^8 \, \text{m/s} \) is the speed of light.
     Plugging in the values:
     \[
     \nu = \frac{3.00 \times 10^8 \, \text{m/s}}{5.95 \times 10^{-7} \, \text{m}}
     \]
     \[
     \nu = 5.04 \times 10^{14} \, \text{s}^{-1}
     \]

   b) **What is the energy (in cal) of the emitted photon?**

   - The calculation for the energy in calories is not provided in the image.

---

**Explanation of Diagram/Graph:**

The problem includes handwritten calculations to determine the frequency of light. The formula shown depicts how frequency (\(\nu\)) is calculated using the known speed of light \(c\) and the given wavelength \(\lambda\). No additional diagrams or graphs are present.
Transcribed Image Text:Here is the transcription and explanation of the educational content provided in the image: --- **1. Carboxy Rhodamine emits a photon of light with a wavelength of \(5.95 \times 10^{-7}\) m.** a) **What is the frequency (s\(^{-1}\)) of the emitted photon?** - **Solution:** \[ \text{Wavelength} = 5.95 \times 10^{-7} \, \text{m} \] We need to find the frequency (ν) of the emitted photon using the formula: \[ \nu = \frac{c}{\lambda} \] where \( c = 3.00 \times 10^8 \, \text{m/s} \) is the speed of light. Plugging in the values: \[ \nu = \frac{3.00 \times 10^8 \, \text{m/s}}{5.95 \times 10^{-7} \, \text{m}} \] \[ \nu = 5.04 \times 10^{14} \, \text{s}^{-1} \] b) **What is the energy (in cal) of the emitted photon?** - The calculation for the energy in calories is not provided in the image. --- **Explanation of Diagram/Graph:** The problem includes handwritten calculations to determine the frequency of light. The formula shown depicts how frequency (\(\nu\)) is calculated using the known speed of light \(c\) and the given wavelength \(\lambda\). No additional diagrams or graphs are present.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Introduction and Principles of Quantum Theory
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY