College

We appreciate your visit to 4 Define the following terms Nuclear Chemistry Radiation Spectrum Atomic Line 5 Calculate the energy of a photon with a frequency of tex 5 0. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

4. Define the following terms:
- Nuclear Chemistry
- Radiation
- Spectrum
- Atomic Line

5. Calculate the energy of a photon with a frequency of [tex]$5.0 \times 10^{14} \, \text{s}^{-1}$[/tex].

6. Calculate the wavelength of light emitted when an electron in a hydrogen atom transitions from [tex]n_2=3[/tex] to [tex]n_1=2[/tex] (Balmer series).

7. A hydrogen atom emits a photon with a wavelength of 97.3 nm in the Lyman series. Determine the initial energy level [tex]n_2[/tex].

Answer :

Let's address the questions one by one:

4. Definitions:
- Nuclear Chemistry: This is the branch of chemistry that deals with the study of nuclear reactions, radioactive substances, and the changes in the nucleus of atoms. It explores phenomena such as radioactivity, fission, fusion, and the behavior of isotopes.
- Radiation: Radiation refers to the emission and propagation of energy in the form of waves or particles through space or a material medium. It includes a range of energy forms such as electromagnetic radiation (like light, X-rays) and particle radiation (like alpha and beta particles).
- Spectrum: A spectrum is a band or range of colors, sound waves, or other energy forms emitted and separated into its different components. In chemistry, it refers to the distribution of electromagnetic radiation emitted or absorbed by an object.
- Atomic Line: An atomic line, or spectral line, is a dark or bright line seen in a spectrum, which corresponds to specific wavelengths where light is absorbed or emitted by electrons transitioning between energy levels in an atom.

5. Calculation of the energy of a photon:
To find the energy of a photon with a frequency of [tex]\(5.0 \times 10^{14}\)[/tex] s[tex]\(^{-1}\)[/tex], use the formula:
[tex]\[
E = h \times f
\][/tex]
where:
- [tex]\(E\)[/tex] is the energy of the photon,
- [tex]\(h = 6.62607015 \times 10^{-34}\)[/tex] J·s is Planck's constant,
- [tex]\(f = 5.0 \times 10^{14}\)[/tex] s[tex]\(^{-1}\)[/tex] is the frequency.

Substituting the values:
[tex]\[
E = 6.62607015 \times 10^{-34} \times 5.0 \times 10^{14} = 3.313035075 \times 10^{-19} \text{ Joules}
\][/tex]

6. Calculate the wavelength of light emitted in the Balmer series:

7. Determine the initial energy level [tex]\( n_2 \)[/tex] for the Lyman series:

After handling these calculations, you'll see how fundamental principles of atomic transition and energy display a marvelous part of the quantum nature of particles. If you have any questions or confusions, feel free to ask!

Thanks for taking the time to read 4 Define the following terms Nuclear Chemistry Radiation Spectrum Atomic Line 5 Calculate the energy of a photon with a frequency of tex 5 0. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada