What is the energy (in J) of a photon required to excite an electron from n = 2 to n = 8 in a He* ion? Submit an answer to three significant figures.
What is the energy (in J) of a photon required to excite an electron from n = 2 to n = 8 in a He* ion? Submit an answer to three significant figures.
Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter5: Electrons In The Atom
Section: Chapter Questions
Problem 96A
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![### Question 11 of 27
**Problem Statement:**
What is the energy (in J) of a photon required to excite an electron from \( n = 2 \) to \( n = 8 \) in a He\(^+\) ion? Submit an answer to three significant figures.
---
This question involves calculating the energy of a photon needed to move an electron in a helium ion (He\(^+\)) from one energy level (\( n = 2 \)) to a higher energy level (\( n = 8 \)). The result should be presented with three significant figures. This concept is important in understanding electronic transitions and photon interactions in quantum mechanics.
To solve this, you would use the formula for energy difference between two energy levels in a hydrogen-like ion:
\[
E = -13.6 \times \frac{Z^2}{n^2} \, \text{eV}
\]
For a He\(^+\) ion, \( Z = 2 \). Convert the energy from electronvolts (eV) to joules if necessary, as the answer needs to be in joules.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F351a7ae2-f134-44cb-addc-9d610f701a4a%2F8fcc489b-8b0c-44d7-9eab-a0f6959ecc8a%2F1nw9jfs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 11 of 27
**Problem Statement:**
What is the energy (in J) of a photon required to excite an electron from \( n = 2 \) to \( n = 8 \) in a He\(^+\) ion? Submit an answer to three significant figures.
---
This question involves calculating the energy of a photon needed to move an electron in a helium ion (He\(^+\)) from one energy level (\( n = 2 \)) to a higher energy level (\( n = 8 \)). The result should be presented with three significant figures. This concept is important in understanding electronic transitions and photon interactions in quantum mechanics.
To solve this, you would use the formula for energy difference between two energy levels in a hydrogen-like ion:
\[
E = -13.6 \times \frac{Z^2}{n^2} \, \text{eV}
\]
For a He\(^+\) ion, \( Z = 2 \). Convert the energy from electronvolts (eV) to joules if necessary, as the answer needs to be in joules.
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