Complete the following radioactive decay formulas. (Enter th (a) B→? + e + v 12 5 chemPad XX→← Help Greek

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
## Completing Radioactive Decay Formulas

### Introduction
Radioactive decay is a natural process by which an unstable atomic nucleus loses energy by emitting radiation. Understanding how to complete decay formulas is essential in the study of nuclear chemistry and physics.

### Exercises

#### (a) Beta Decay of Boron-12

In beta decay, a neutron is converted into a proton, an electron (beta particle), and an antineutrino. Given the decay process:

\[ \mathrm{^{12}_{5}B} \rightarrow ? + \mathrm{e^{-}} + \bar{\nu} \]

We need to find the missing product in the reaction.

<img src="https://example.com/radioactive-decay-a.png" alt="chempad interface for part (a)">

To solve this:
1. Identify the original nucleus, \(\mathrm{^{12}_{5}B}\).
2. Identify the emitted particles: \(\mathrm{e^{-}}\) and \(\bar{\nu}\).
3. Use the conservation of atomic number and mass number to find the missing nucleus.

#### (b) Alpha Decay of Thorium-234

In alpha decay, an atomic nucleus emits an alpha particle (\(\mathrm{^{4}_{2}He}\)), reducing its atomic mass by 4 and its atomic number by 2. Given the decay process:

\[ \mathrm{^{234}_{90}Th} \rightarrow \mathrm{^{230}_{88}Ra} + ? \]

We need to find the missing particle in the reaction.

<img src="https://example.com/radioactive-decay-b.png" alt="chempad interface for part (b)">

To solve this:
1. Identify the original nucleus, \(\mathrm{^{234}_{90}Th}\).
2. Identify the resulting nucleus, \(\mathrm{^{230}_{88}Ra}\).
3. Use the conservation of atomic number and mass number to find the missing particle, typically an alpha particle.

#### (c) Beta Decay Leading to Nitrogen-14

Given the decay process:

\[ ? \rightarrow \mathrm{^{14}_{7}N} + \mathrm{e^{-}} + \bar{\nu} \]

We need to identify the original nucleus.

<img src="https://example.com/radioactive-decay-c.png" alt="chempad interface for part (c)">

To solve this:
1. Identify the
Transcribed Image Text:## Completing Radioactive Decay Formulas ### Introduction Radioactive decay is a natural process by which an unstable atomic nucleus loses energy by emitting radiation. Understanding how to complete decay formulas is essential in the study of nuclear chemistry and physics. ### Exercises #### (a) Beta Decay of Boron-12 In beta decay, a neutron is converted into a proton, an electron (beta particle), and an antineutrino. Given the decay process: \[ \mathrm{^{12}_{5}B} \rightarrow ? + \mathrm{e^{-}} + \bar{\nu} \] We need to find the missing product in the reaction. <img src="https://example.com/radioactive-decay-a.png" alt="chempad interface for part (a)"> To solve this: 1. Identify the original nucleus, \(\mathrm{^{12}_{5}B}\). 2. Identify the emitted particles: \(\mathrm{e^{-}}\) and \(\bar{\nu}\). 3. Use the conservation of atomic number and mass number to find the missing nucleus. #### (b) Alpha Decay of Thorium-234 In alpha decay, an atomic nucleus emits an alpha particle (\(\mathrm{^{4}_{2}He}\)), reducing its atomic mass by 4 and its atomic number by 2. Given the decay process: \[ \mathrm{^{234}_{90}Th} \rightarrow \mathrm{^{230}_{88}Ra} + ? \] We need to find the missing particle in the reaction. <img src="https://example.com/radioactive-decay-b.png" alt="chempad interface for part (b)"> To solve this: 1. Identify the original nucleus, \(\mathrm{^{234}_{90}Th}\). 2. Identify the resulting nucleus, \(\mathrm{^{230}_{88}Ra}\). 3. Use the conservation of atomic number and mass number to find the missing particle, typically an alpha particle. #### (c) Beta Decay Leading to Nitrogen-14 Given the decay process: \[ ? \rightarrow \mathrm{^{14}_{7}N} + \mathrm{e^{-}} + \bar{\nu} \] We need to identify the original nucleus. <img src="https://example.com/radioactive-decay-c.png" alt="chempad interface for part (c)"> To solve this: 1. Identify the
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Nuclear Fusion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON