Balance this nuclear reaction by supplying the missing nucleus. Replace each question mark with an appropriate integer or symbol. 2Cf + 260 Db + 4,n 105
Balance this nuclear reaction by supplying the missing nucleus. Replace each question mark with an appropriate integer or symbol. 2Cf + 260 Db + 4,n 105
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...
Related questions
Question
![**Balancing Nuclear Reactions:**
**Objective:** Balance this nuclear reaction by supplying the missing nucleus. Replace each question mark with an appropriate integer or symbol.
__Reaction:__
\[ \prescript{249}{98}{\text{Cf}} + \boxed{\begin{array}{c} ? \\ ? \end{array}} \rightarrow \prescript{260}{105}{\text{Db}} + 4 \prescript{1}{0}{\text{n}} \]
### Explanation
In this nuclear reaction, Californium-249 (\( \prescript{249}{98}{\text{Cf}} \)) reacts with an unknown nucleus to produce Dubnium-260 (\( \prescript{260}{105}{\text{Db}} \)) and 4 neutrons.
### Steps to Balance the Reaction:
1. **Identify the mass numbers and atomic numbers:**
- Californium (Cf) has an atomic number of 98 and a mass number of 249.
- Dubnium (Db) has an atomic number of 105 and a mass number of 260.
- A neutron (n) has an atomic number of 0 and a mass number of 1.
2. **Set up the equation to conserve mass and atomic numbers separately:**
For mass numbers:
\[
249 + A = 260 + 4 \times 1
\]
\[
249 + A = 264
\]
\[
A = 15
\]
For atomic numbers:
\[
98 + Z = 105 + 4 \times 0
\]
\[
98 + Z = 105
\]
\[
Z = 7
\]
3. **Identify the element with atomic number 7:**
- The element with atomic number 7 is Nitrogen (N).
### Final Balanced Reaction:
\[ \prescript{249}{98}{\text{Cf}} + \prescript{15}{7}{\text{N}} \rightarrow \prescript{260}{105}{\text{Db}} + 4 \prescript{1}{0}{\text{n}} \]
This reaction involves Californium-249 and Nitrogen-15 producing Dubnium-260 and 4 neutrons.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d591113-c73d-4bf8-a1b7-9966513ce440%2F11207ce8-debf-4e4a-ade4-bfe94d51832c%2Fhlqtddm_processed.png&w=3840&q=75)
Transcribed Image Text:**Balancing Nuclear Reactions:**
**Objective:** Balance this nuclear reaction by supplying the missing nucleus. Replace each question mark with an appropriate integer or symbol.
__Reaction:__
\[ \prescript{249}{98}{\text{Cf}} + \boxed{\begin{array}{c} ? \\ ? \end{array}} \rightarrow \prescript{260}{105}{\text{Db}} + 4 \prescript{1}{0}{\text{n}} \]
### Explanation
In this nuclear reaction, Californium-249 (\( \prescript{249}{98}{\text{Cf}} \)) reacts with an unknown nucleus to produce Dubnium-260 (\( \prescript{260}{105}{\text{Db}} \)) and 4 neutrons.
### Steps to Balance the Reaction:
1. **Identify the mass numbers and atomic numbers:**
- Californium (Cf) has an atomic number of 98 and a mass number of 249.
- Dubnium (Db) has an atomic number of 105 and a mass number of 260.
- A neutron (n) has an atomic number of 0 and a mass number of 1.
2. **Set up the equation to conserve mass and atomic numbers separately:**
For mass numbers:
\[
249 + A = 260 + 4 \times 1
\]
\[
249 + A = 264
\]
\[
A = 15
\]
For atomic numbers:
\[
98 + Z = 105 + 4 \times 0
\]
\[
98 + Z = 105
\]
\[
Z = 7
\]
3. **Identify the element with atomic number 7:**
- The element with atomic number 7 is Nitrogen (N).
### Final Balanced Reaction:
\[ \prescript{249}{98}{\text{Cf}} + \prescript{15}{7}{\text{N}} \rightarrow \prescript{260}{105}{\text{Db}} + 4 \prescript{1}{0}{\text{n}} \]
This reaction involves Californium-249 and Nitrogen-15 producing Dubnium-260 and 4 neutrons.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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.Recommended textbooks for you
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY