   Chapter 12, Problem 47GQ

Chapter
Section
Textbook Problem

Calcium fluoride is the well-known mineral fluorite. Each unit cell contains four Ca2+ ions and eight F− ions. The F− ions fill all the tetrahedral holes in a face-centered cubic lattice of Ca2+ ions. The edge of the CaF2 unit cell is 5.46295 × 10−8 cm in length. The density of the solid is 3.1805 g/cm3. Use this information to calculate Avogadro’s number.

Interpretation Introduction

Interpretation:

The Avogadro number of calcium fluoride has to be calculated.

Concept introduction:

The dimension of the atom is given below,

d=Z × Ma3×NA

The Avogadro number of the atom is given below,

NA=Z × Ma3×d

Explanation

density =3.1805g/cm3molarmassofCalcium fluoride=78.07 ucell dimension =5.462×10-8cm

d=Z × Ma3×NANA=

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