Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 29: Problem 61

Which of these unidentified nuclides are isotopes of each other? $$ { }_{71}^{175}(?) $$ $$ \frac{71}{32}(?) $$ $$ \frac{175}{74}(?) $$ $$ { }_{71}^{167}(?) $$ $$ \frac{71}{30}(?) $$ $$ { }_{74}^{180}(?) $$

Short Answer

Expert verified
Nuclides: 1. ${}_{71}^{175}(?)$ 2. $\frac{71}{32}(?)$ 3. $\frac{175}{74}(?)$ 4. ${}_{71}^{167}(?)$ 5. $\frac{71}{30}(?)$ 6. ${}_{74}^{180}(?)$ Answer: The isotopes among the given unidentified nuclides are nuclides 1 and 4, 1 and 2, 1 and 5, 4 and 2, and 4 and 5.

Step by step solution

01

Identify the atomic numbers and mass numbers of each nuclide

For each nuclide, we need to identify the atomic number (Z) and the mass number (A). The atomic number is represented by the subscript and the mass number is represented by the superscript. $$ { }_{71}^{175}(?) \Longrightarrow Z = 71, A = 175 $$ $$ \frac{71}{32}(?) \Longrightarrow Z = 71, A = 32 $$ $$ \frac{175}{74}(?) \Longrightarrow Z = 175, A = 74 $$ $$ { }_{71}^{167}(?) \Longrightarrow Z = 71, A = 167 $$ $$ \frac{71}{30}(?) \Longrightarrow Z = 71, A = 30 $$ $$ { }_{74}^{180}(?) \Longrightarrow Z = 74, A = 180 $$
02

Determine which nuclides have the same atomic number but different mass numbers

By comparing the atomic numbers and mass numbers of the nuclides, we can identify isotopes. Isotopes will have the same atomic number (Z) but different mass numbers (A). $$ { }_{71}^{175}(?) \; \text{and} \; { }_{71}^{167}(?) \Longrightarrow \text{Isotopes} $$ $$ { }_{71}^{175}(?) \; \text{and} \; \frac{71}{32}(?) \Longrightarrow \text{Isotopes} $$ $$ { }_{71}^{175}(?) \; \text{and} \; \frac{71}{30}(?) \Longrightarrow \text{Isotopes} $$ $$ { }_{71}^{167}(?) \; \text{and} \; \frac{71}{32}(?) \Longrightarrow \text{Isotopes} $$ $$ { }_{71}^{167}(?) \; \text{and} \; \frac{71}{30}(?) \Longrightarrow \text{Isotopes} $$ Other pairs of nuclides are not isotopes because their atomic numbers are different.
03

Conclusion

The isotopes among the given unidentified nuclides are: - \({ }_{71}^{175}(?)\) and \({ }_{71}^{167}(?)\) - \({ }_{71}^{175}(?)\) and \(\frac{71}{32}(?)\) - \({ }_{71}^{175}(?)\) and \(\frac{71}{30}(?)\) - \({ }_{71}^{167}(?)\) and \(\frac{71}{32}(?)\) - \({ }_{71}^{167}(?)\) and \(\frac{71}{30}(?)\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A water sample is found to have \(0.016 \%\) deuterium content (that is, $0.016 \%\( of the hydrogen nuclei in the water are \)^{2} \mathrm{H}$ ). If the fusion reaction \(\left(^{2} \mathrm{H}+^{2} \mathrm{H}\right)\) yields 3.65 MeV of energy on average, how much energy could you get from \(1.00 \mathrm{L}\) of the water? (There are two reactions with approximately equal probabilities; one yields \(4.03 \mathrm{MeV}\) and the other \(3.27 \mathrm{MeV} .\) ) Assume that you are able to extract and fuse \(87.0 \%\) of the deuterium in the water. Give your answer in kilowatt hours.
Write the symbol (in the form \(_{Z}^{A} \mathrm{X}\) ) for the isotope of potassium with 21 neutrons.
A neutron star is a star that has collapsed into a collection of tightly packed neutrons. Thus, it is something like a giant nucleus; but since it is electrically neutral, there is no Coulomb repulsion to break it up. The force holding it together is gravity. Suppose the Sun were to collapse into a neutron star. What would its radius be? Assume that the density is about the same as for a nucleus. Express your answer in kilometers.
Consider the fusion reaction of a proton and a deuteron: $^{1} \mathrm{H}+_{1}^{2} \mathrm{H} \rightarrow \mathrm{X} .$ (a) Identify the reaction product \(\mathrm{X}\). (b) The binding energy of the deuteron is about \(1.1 \mathrm{MeV}\) per nucleon and the binding energy of "X" is about 2.6 MeV per nucleon. Approximately how much energy (in MeV) is released in this fusion reaction? (c) Why is this reaction unlikely to occur in a room temperature setting?
Write out the reaction and identify the daughter nuclide when \(_{11}^{22}\) Na decays by emitting a positron.
See all solutions

Recommended explanations on Physics Textbooks

Force

Read Explanation

Radiation

Read Explanation

Electricity

Read Explanation

Space Physics

Read Explanation

Famous Physicists

Read Explanation

Scientific Method Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free