Chapter 1, Problem 43RGQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# The smallest repeating unit of a crystal of common salt is a cube (called a unit cell) with an edge length of 0.563 nm. (a) What is the volume of this cube in cubic nanometers? In cubic centimeters? (b) The density of NaCl is 2.17 g/cm3. What is the mass of this smallest repeating unit (“unit cell”)? (c) Each repeating unit is composed of four NaCl units. What is the mass of one NaCl formula unit?

(a)

Interpretation Introduction

Interpretation: The volume of this cube in cubic nanometers.

Concept Introduction:

Density: Is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

Density = MassVolume

Explanation

â€‚Â CalculateÂ theÂ volumeÂ ofÂ unitÂ cell:_VolumeÂ ofÂ aÂ unitÂ cellÂ isÂ l3Â Â VolumeÂ Â =Â (0.563)3=0.179â€‰nm3ConversionÂ ofÂ units:_Given:Â â€‰VolumeÂ =Â 0.179â€‰nm3Known:Â 1Â nmÂ =Â 10âˆ’7cmWhereas,0.179â€‰nmÂ isÂ Â =Â 0.179â€‰nmÃ—10âˆ’7cm1Â nm=â€‰0

(b)

Interpretation Introduction

Interpretation: The volume of this cube in cubic nanometers.

Concept Introduction:

Density: Is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

Density = MassVolume

(c)

Interpretation Introduction

Interpretation: The volume of this cube in cubic nanometers.

Concept Introduction:

Density: Is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

Density = MassVolume

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