/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 69 Cobalt fluoride crystallizes in ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 69

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 cobalt fluoride with cobalt ions filling half of the octahedral holes in a closest packed array of fluoride ions is \(CoF_2\).

Step by step solution

01

Identify the closest packed array structure

In a closest packed array of ions, the ions are arranged in a lattice, typically either hexagonal close-packed (hcp) or cubic close-packed (ccp, also known as face-centered cubic, fcc). Both hcp and ccp have the same number of octahedral holes (interstitial positions for other ions) relative to the number of ions in the lattice.
02

Determine the number of octahedral holes in the lattice

For both hcp and ccp structures, each ion in the lattice is associated with one octahedral hole. Therefore, the number of octahedral holes is equal to the number of fluoride ions in the lattice. Let's represent the number of fluoride ions as \(F\).
03

Determine the number of cobalt ions

We are given that cobalt ions fill half of the octahedral holes. Since the number of octahedral holes is equal to the number of fluoride ions (\(F\)), the number of cobalt ions in the lattice can be represented as \(\frac{1}{2}F\).
04

Find the formula of the compound

To find the formula of the compound, we need to determine the ratio between cobalt and fluoride ions. Since there are \(\frac{1}{2}F\) cobalt ions and \(F\) fluoride ions, the ratio is \(\frac{1}{2}\). To represent this ratio as a whole number, we can multiply both sides by 2. In this case, for every 1 cobalt ion, there are 2 fluoride ions in the compound. This means the formula of cobalt fluoride is \(CoF_2\).

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

MnO has either the \(\mathrm{NaCl}\) type structure or the \(\mathrm{CsCl}\) type structure (see Exercise 67). The edge length of the \(\mathrm{MnO}\) unit cell is \(4.47 \times 10^{-8} \mathrm{~cm}\) and the density of \(\mathrm{MnO}\) is \(5.28 \mathrm{~g} / \mathrm{cm}^{3}\) a. Does \(\mathrm{Mn} \mathrm{O}\) crystallize in the \(\mathrm{NaCl}\) or the \(\mathrm{CsCl}\) type structure? b. Assuming that the ionic radius of oxygen is \(140 . \mathrm{pm}\), estimate the ionic radius of manganese.

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?

Explain how the evaporation of water acts as a coolant for the earth.

What type of solid will each of the following substances form? a. diamond e. \(\mathrm{KCl}\) i. \(\mathrm{Ar}\) b. \(\mathrm{PH}_{3}\) f. quartz j. \(\mathrm{Cu}\) c. \(\mathrm{H}_{2}\) g. \(\mathrm{NH}_{4} \mathrm{NO}_{3}\) k. \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\) d. \(\mathrm{Mg}\) h. \(\mathrm{SF}_{2}\)

A topaz crystal has an interplanar spacing \((d)\) of \(1.36 \AA^{\circ}(1 \AA=\) \(\left.1 \times 10^{-10} \mathrm{~m}\right) .\) Calculate the wavelength of the \(\mathrm{X}\) ray that should be used if \(\theta=15.0^{\circ}\) (assume \(n=1\) ).
See all solutions

Recommended explanations on Chemistry Textbooks

Chemistry Branches

Read Explanation

Making Measurements

Read Explanation

The Earths Atmosphere

Read Explanation

Organic Chemistry

Read Explanation

Inorganic Chemistry

Read Explanation

Physical Chemistry

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.