Chapter 12: Q12.142CP (page 499)

KF has the same type of crystal structure as NaCl. The unit cell of KF has an edge length of 5.39 $\overset{°}{A}$ . Find the density of KF.

Short Answer

Expert verified

The density of KF is $0.24 \times 10^{7} g / m^{3}$ .

Step by step solution

Definition of crystal structure

In a crystal, the constituent particles form a structure by repeating a symmetric pattern along three dimensions. This symmetric structure of the particles in a crystal is named as crystal structure.

Definition of a unit cell

The smallest symmetric pattern from which the whole lattice can be formed by repeating in three dimensions is called the unit cell.

Finding the density of KF

Here, $Density = \frac{ZM}{{NOa}_{3}}$

NaCl's cubic crystal structure is face-centered.

For a face-centered cubic structure, Z, i.e., ions in a unit cell, is 4

Therefore, no. of ions in a unit cell for KF is 4.

$\begin{array}{rcl} M, molecular weight of KF & = & (39 + 19) g / mol = 58 g / mol \\ N_{0} or Avogadro no & = & 6.023 \times 10^{23} {mol}^{- 1} \\ a or edge length & = & 5.39 \times 10^{- 10} m \\ Density of KF & = & 4 \times \frac{58}{6.023} \times 10^{23} \times {(5.39 \times 10^{- 10})}^{3} g / m^{3} \\ = & 0.24 \times 10^{7} g / m^{3} \end{array}$

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!

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

KF has the same type of crystal structure as NaCl. The unit cell of KF has an edge length of 5.39 $\overset{°}{A}$ . Find the density of KF.

Short Answer

Step by step solution

Definition of crystal structure

Definition of a unit cell

Finding the density of KF

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

The Earths Atmosphere

Making Measurements

Ionic and Molecular Compounds

Physical Chemistry

Inorganic Chemistry

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

KF has the same type of crystal structure as NaCl. The unit cell of KF has an edge length of 5.39 A°. Find the density of KF.

Short Answer

Step by step solution

Definition of crystal structure

Definition of a unit cell

Finding the density of KF

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

The Earths Atmosphere

Making Measurements

Ionic and Molecular Compounds

Physical Chemistry

Inorganic Chemistry

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

KF has the same type of crystal structure as NaCl. The unit cell of KF has an edge length of 5.39 $\overset{°}{A}$ . Find the density of KF.