1. Stable molecules form when atoms arrange in a way to exert equal force on each other. One such molecule is phosphate, PO, which forms a tetrahedron shape. The notation indicates 4 oxygen atoms with a single phosphorus atom (and an overall excess of 3 electrons). Consider a coordinate system where the four oxygen atoms that form the tetrahedron are placed at (1,0,0), (0, 1,0), (0, 0, 1), and (-1/3, -1/3, -1/3). (a) To have equal forces the phosphate atom must be placed equidistant from each of the oxygen atoms. Assume the phosphorus atom has the same value for all coordinates, i.e. it is located at (a, a, a). Find a. (b) Determine the bond angle, that is the angle between the lines that join the phosphorus atom to two of the oxygen atoms. Estimate it in degrees.
1. Stable molecules form when atoms arrange in a way to exert equal force on each other. One such molecule is phosphate, PO, which forms a tetrahedron shape. The notation indicates 4 oxygen atoms with a single phosphorus atom (and an overall excess of 3 electrons). Consider a coordinate system where the four oxygen atoms that form the tetrahedron are placed at (1,0,0), (0, 1,0), (0, 0, 1), and (-1/3, -1/3, -1/3). (a) To have equal forces the phosphate atom must be placed equidistant from each of the oxygen atoms. Assume the phosphorus atom has the same value for all coordinates, i.e. it is located at (a, a, a). Find a. (b) Determine the bond angle, that is the angle between the lines that join the phosphorus atom to two of the oxygen atoms. Estimate it in degrees.
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter6: Covalent Bonding
Section: Chapter Questions
Problem 110QRT
Related questions
Question
Instead of typing the solution can you please write it because when it's typed I can't see the full solut
![1. Stable molecules form when atoms arrange in a way to exert equal force on each other. One
such molecule is phosphate, PO, which forms a tetrahedron shape. The notation indicates 4
oxygen atoms with a single phosphorus atom (and an overall excess of 3 electrons). Consider
a coordinate system where the four oxygen atoms that form the tetrahedron are placed at
(1,0,0), (0, 1, 0), (0, 0, 1), and (-1/3, -1/3, -1/3).
(a) To have equal forces the phosphate atom must be placed equidistant from each of the
oxygen atoms. Assume the phosphorus atom has the same value for all coordinates, i.e.
it is located at (a, a, a). Find a.
(b) Determine the bond angle, that is the angle between the lines that join the phosphorus
atom to two of the oxygen atoms. Estimate it in degrees.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73102c60-1498-4636-80ef-4cdd7b0f71d1%2F9761de2d-87ed-42e1-958f-8286bd0ea6b0%2Fmqm05da_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Stable molecules form when atoms arrange in a way to exert equal force on each other. One
such molecule is phosphate, PO, which forms a tetrahedron shape. The notation indicates 4
oxygen atoms with a single phosphorus atom (and an overall excess of 3 electrons). Consider
a coordinate system where the four oxygen atoms that form the tetrahedron are placed at
(1,0,0), (0, 1, 0), (0, 0, 1), and (-1/3, -1/3, -1/3).
(a) To have equal forces the phosphate atom must be placed equidistant from each of the
oxygen atoms. Assume the phosphorus atom has the same value for all coordinates, i.e.
it is located at (a, a, a). Find a.
(b) Determine the bond angle, that is the angle between the lines that join the phosphorus
atom to two of the oxygen atoms. Estimate it in degrees.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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: The Molecular Science](https://www.bartleby.com/isbn_cover_images/9781285199047/9781285199047_smallCoverImage.gif)
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
![Introductory Chemistry: A Foundation](https://www.bartleby.com/isbn_cover_images/9781337399425/9781337399425_smallCoverImage.gif)
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry for Engineering Students](https://www.bartleby.com/isbn_cover_images/9781337398909/9781337398909_smallCoverImage.gif)
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
![Chemistry: The Molecular Science](https://www.bartleby.com/isbn_cover_images/9781285199047/9781285199047_smallCoverImage.gif)
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
![Introductory Chemistry: A Foundation](https://www.bartleby.com/isbn_cover_images/9781337399425/9781337399425_smallCoverImage.gif)
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry for Engineering Students](https://www.bartleby.com/isbn_cover_images/9781337398909/9781337398909_smallCoverImage.gif)
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
![Principles of Modern Chemistry](https://www.bartleby.com/isbn_cover_images/9781305079113/9781305079113_smallCoverImage.gif)
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781133611097/9781133611097_smallCoverImage.gif)
![Chemistry: An Atoms First Approach](https://www.bartleby.com/isbn_cover_images/9781305079243/9781305079243_smallCoverImage.gif)
Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning