An ionic solid consists of A atoms and B atoms, and its unit cell structure is shown below. The position of A atoms (orange color) and the position of B atoms (blue color) in the cubic unit cell are indicated in the picture. Based on the cubic unit cell given here, which statement is correct? A= edge B=comer, center O a. The empirical formula of this ionic compound is A12B5. O b. The empirical formula of this ionic compound is A3B2. O. The empirical formula of this ionic compound is A2B3. d. The empirical formula of this ionic compound is AB3. e. None of the above

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...
icon
Related questions
Question

Thank you for your help!

**Unit Cell Analysis of Ionic Compound**

An ionic solid consists of A atoms and B atoms, and its unit cell structure is shown below. The position of A atoms (orange color) and the position of B atoms (blue color) in the cubic unit cell are indicated in the picture.

Based on the cubic unit cell given here, which statement is correct?

**Diagram Explanation:**

- **A atoms (orange)**: Positioned at the edges of the cube.
- **B atoms (blue)**: Positioned at the corners and the center of the cube.

**Options:**

- a. The empirical formula of this ionic compound is A₁₂B₅.
- b. The empirical formula of this ionic compound is A₃B₂.
- c. The empirical formula of this ionic compound is A₂B₃.
- d. The empirical formula of this ionic compound is AB₃.
- e. None of the above

**Visual Analysis:**

In the diagram:

- Each edge contains one A atom, and there are 12 edges in total. However, each edge atom is shared by 4 cells, so effectively 3 A atoms per unit cell.
- B atoms are at all the corners and the center. There are 8 corners (1/8 contribution each) plus 1 full atom at the center, totaling effectively 2 B atoms.

**Correct Answer:**

b. The empirical formula of this ionic compound is A₃B₂.
Transcribed Image Text:**Unit Cell Analysis of Ionic Compound** An ionic solid consists of A atoms and B atoms, and its unit cell structure is shown below. The position of A atoms (orange color) and the position of B atoms (blue color) in the cubic unit cell are indicated in the picture. Based on the cubic unit cell given here, which statement is correct? **Diagram Explanation:** - **A atoms (orange)**: Positioned at the edges of the cube. - **B atoms (blue)**: Positioned at the corners and the center of the cube. **Options:** - a. The empirical formula of this ionic compound is A₁₂B₅. - b. The empirical formula of this ionic compound is A₃B₂. - c. The empirical formula of this ionic compound is A₂B₃. - d. The empirical formula of this ionic compound is AB₃. - e. None of the above **Visual Analysis:** In the diagram: - Each edge contains one A atom, and there are 12 edges in total. However, each edge atom is shared by 4 cells, so effectively 3 A atoms per unit cell. - B atoms are at all the corners and the center. There are 8 corners (1/8 contribution each) plus 1 full atom at the center, totaling effectively 2 B atoms. **Correct Answer:** b. The empirical formula of this ionic compound is A₃B₂.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY