   # Figure 13.17 illustrates a gold colloid Assume the colloidal particles are spherical clumps of gold atoms and are 100 nm in diameter. What is the approximate number of gold atoms that could form such a particle? (The radius of a gold atom is 144 pm.) (a) 300 atoms (b) 40 million atoms (c) 2 billion 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 13.5, Problem 1RC
Textbook Problem
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## Figure 13.17 illustrates a gold colloid Assume the colloidal particles are spherical clumps of gold atoms and are 100 nm in diameter. What is the approximate number of gold atoms that could form such a particle? (The radius of a gold atom is 144 pm.) (a) 300 atoms (b) 40 million atoms (c) 2 billion atoms

Interpretation Introduction

Interpretation: The approximate number of gold atoms is to be determined from the given option.

Concept introduction:

Colligative properties: Properties of solutions which having influence on the concentration of the solute in it. Colligative properties are,

• Decrease in the vapor pressure
• Increase in the boiling point
• Decline in the boiling point
• Osmotic pressure

### Explanation of Solution

Reason for correct option

Given,

Diameter of the clumps of gold atoms is 100nm=100×109m

Radius of the clumps of gold atoms is 50×109m

Radius of gold atoms is 144pm=144×1012m

Volume of the clumps of gold atoms,

Volume=43πr3=43(3.14)(50×109m)3=5.23×1022m3

Volume of gold atoms,

Volume=43πr3=43(3.14)(144×1012m)3=1

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