Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Problem 71

Cobalt fluoride crystallizes in a closest packed array of fluoride ions with the cobalt ions filling one-half of the octahedral holes. What is the formula of this compound?

Short Answer

Expert verified
The formula of the compound formed between cobalt and fluoride ions in a closest packed array, with cobalt ions occupying half of the octahedral holes, is CoF₂.

Step by step solution

01

Understand octahedral holes in a close-packed structure

In a close-packed array, there are two types of voids (empty spaces) between adjacent atoms or ions: tetrahedral and octahedral holes. Octahedral holes are larger voids surrounded by six ions in an octahedral arrangement.
02

Determine the number of octahedral holes in a closest-packed structure

In a close-packed array, the number of octahedral holes is equal to the number of ions in the packing. For instance, if there are 'n' fluoride ions forming the close-packed array, there will be 'n' octahedral holes.
03

Calculate the number of cobalt ions in the compound

The problem states that half of the octahedral holes are filled with cobalt ions. Therefore, the number of cobalt ions in the structure will be half the number of octahedral holes. If there are 'n' fluoride ions in the packing, there will be n/2 cobalt ions.
04

Find the formula of the compound

Now that we know the ratio of fluoride and cobalt ions in the structure, we can write the empirical formula of the compound. To do this, we will denote the number of cobalt ions as 'Co' and the number of fluoride ions as 'F': Co : F = (n/2) : n To find the simplest whole number ratio, we can multiply both sides by 2: 2Co : 2F = n : 2n So, the formula of the compound is CoF₂.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Does the nature of intermolecular forces change when a substance goes from a solid to a liquid, or from a liquid to a gas? What causes a substance to undergo a phase change?

What is the formula for the compound that crystallizes with a cubic closest packed array of sulfur ions, and that contains zinc ions in \(\frac{1}{8}\) of the tetrahedral holes and aluminum ions in \(\frac{1}{2}\) of the octahedral holes?

The memory metal, nitinol, is an alloy of nickel and titanium. It is called a memory metal because after being deformed, a piece of nitinol wire will return to its original shape. The structure of nitinol consists of a simple cubic array of \(\mathrm{Ni}\) atoms and an inner penetrating simple cubic array of \(\mathrm{Ti}\) atoms. In the extended lattice, a Ti atom is found at the center of a cube of Ni atoms; the reverse is also true. a. Describe the unit cell for nitinol. b. What is the empirical formula of nitinol? c. What are the coordination numbers (number of nearest neighbors) of \(\mathrm{Ni}\) and \(\mathrm{T}_{1}\) in nitinol?

Nickel has a face-centered cubic unit cell. The density of nickel is \(6.84 \mathrm{~g} / \mathrm{cm}^{3}\). Calculate a value for the atomic radius of nickel.

You have three covalent compounds with three very different boiling points. All of the compounds have similar molar mass and relative shape. Explain how these three compounds could have very different boiling points.
See all solutions

Recommended explanations on Chemistry Textbooks

Kinetics

Read Explanation

Making Measurements

Read Explanation

Chemical Analysis

Read Explanation

Organic Chemistry

Read Explanation

Chemical Reactions

Read Explanation

Chemistry Branches

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free