   # A titanium bicycle component has a volume of 32 cm 3 . How many titanium atoms are in the bicycle component? Titanium density = 4 .50 g/cm 3 . ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 3, Problem 54E
Textbook Problem
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## A titanium bicycle component has a volume of 32 cm 3 . How many titanium atoms are in the bicycle component? Titanium density = 4 .50 g/cm 3 .

Interpretation Introduction

Interpretation:

The number of titanium atoms in the bicyclic component is to be calculated.

Concept Introduction:

 Density is the ratio of the mass of a substance to its volume.

 A mole is a unit of amount of substance. It relates a number of particles to the molar mass.

 One mole of a substance contains Avogadro’s number, that is, 6.022×1023 particles. The number remains constant regardless of the nature of the substance. One mole of an atom contains 6.022×1023 atoms. One mole of molecules contains 6.022×1023 molecules.

 It also relates to the molar mass of a substance in grams. One mole of a substance weighs that amount in grams, which is equal to its molar mass.

### Explanation of Solution

Given information:

Titanium bicycle component has a volume=32 cm3Density of titanium =4.50 g/cm3

The mass of titanium is calculated using density as follows:

Density of titanium  = Mass of titanium in bicycle componentVolume of bicycle component

Substitute the values in the above equation:

Mass of titanium = Density of titanium× Volume                                        = 4.5 gcm3× 32 cm3                                       = 144 g

Therefore, the mass of titanium is 144 g

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