   # The density of gold, Au, is 19.32 g/cm 3 . What is the volume (in cubic centimeters) of a piece of gold that contains 2.6 × 10 24 atoms? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2.9, Problem 1CYU
Textbook Problem
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## The density of gold, Au, is 19.32 g/cm3. What is the volume (in cubic centimeters) of a piece of gold that contains 2.6 × 1024 atoms?

Interpretation Introduction

Interpretation: The volume of given piece of gold from its given number of atoms is needed to be calculated.

Concept introduction:

• Molar mass of gold is 197g/mol .
• Equation for finding number of moles from number of atoms of an atom,

Numberofmolesofatom=Numberofatoms6.022×1023atoms/mol

• Conversion formula for number moles of an atom into mass in grams,

Numberofmoles×Molarmass=Massingrams

• Equation for finding volume from density and mass is,

Volume=MassDensity

### Explanation of Solution

The amount of gold is given as 2.6×1024atoms .

Molar mass of gold is 197g/mol .

Equation for finding number of moles from number of atoms of an atom,

Numberofmolesofatom=Numberofatoms6.022×1023atoms/mol

The number of gold is,

Numberofmolesofgold=2.6×1024atoms6.022×1023atoms/mol=4

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