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

Transcribed Image Text:**Chemical Formula and Compound Identification**
### Problem Statement:
What is the chemical formula of the following compound? What would be possible identities of the anion and cation?
### Diagram Explanation:
The provided diagram represents a unit cell of an ionic compound's crystal lattice structure. The lattice is depicted in a cubic configuration with atoms positioned at specific points within the unit cell.
- **Yellow Spheres**: These atoms are located at the corners and face centers of the cubic lattice.
- **Blue Spheres**: These atoms are positioned along the edges and the center of the cubic lattice.
### Analysis:
1. **Identification of the Lattice:**
The yellow spheres appear to form a face-centered cubic (FCC) lattice. In a face-centered cubic unit cell, there are atoms at each of the eight corners and at the center of each of the six faces of the cube.
2. **Counting the Atoms:**
- **Yellow Spheres**:
- Atoms at the corners: 8 corners × 1/8 atom per corner = 1 atom
- Atoms at the face centers: 6 faces × 1/2 atom per face = 3 atoms
- Total yellow spheres per unit cell = 1 + 3 = 4 atoms
- **Blue Spheres**:
- Atoms at the edges: 12 edges × 1/4 atom per edge = 3 atoms
- Atom at the center: 1 atom
- Total blue spheres per unit cell = 3 + 1 = 4 atoms
3. **Chemical Formula:**
Since there are equal numbers of yellow and blue spheres in the unit cell, this suggests a 1:1 stoichiometric ratio of the two types of atoms in the compound. Therefore, the empirical chemical formula of the compound is AB.
### Possible Identities:
Given that yellow and blue spheres represent different ions:
- **Cation (A)**: This could be a metal, commonly found in the cationic form.
- **Anion (B)**: This could be a non-metal or a polyatomic ion, commonly found in the anionic form.
Some possible combinations in real-world scenarios include:
- NaCl (Sodium Chloride): Na⁺ (sodium ion) as the cation and Cl⁻ (chloride ion) as the anion.
- CaO (Calcium Oxide):
Expert Solution

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 4 steps with 1 images

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