   Chapter 1, Problem 43RGQ

Chapter
Section
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

Calculate the volume of unit cell:_Volume of a unit cell is l3  Volume  = (0.563)3=0.179nm3Conversion of units:_Given: Volume = 0.179nm3Known: 1 nm = 107cmWhereas,0.179nm is  = 0.179nm×107cm1 nm=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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