Chapter 1, Problem 1RCYU

### 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 distance between two carbon atoms in diamond (Figure 2) is 0.154 nm. What is this distance in picometers (pm)? In centimeters (cm)?

Interpretation Introduction

Interpretation:

The distance between two carbon atoms in picometers and centimeters to be identified has to be given.

Concept Introduction:

Conversion of Units:

First convert picometers to meters and then convert meters to nanometers. The process of using units to guide a calculation is called dimensional analysis.

Explanation

In picometers the distance is calculated as,

â€‚Â TheÂ appropriateÂ conversionÂ factors:Â 1Â pmÂ =Â 1Ã—10-12mÂ andÂ 1Â nmÂ =Â 1Ã—10-9m.Given:0.154â€‰nm0.154Â nmÃ—1Ã—â€‰10-9m1nm =â€‰ 0.154Ã—10-9m0.154Ã—10-9mÂ  =Â  154Ã—10-9Â Ã—â€‰â€‰1Ã—10-3nmâ€‰Â orÂ Â â€‰154Â nm.

The distance between two atoms is 154nm

In centimeters the distance is calculated as,

â€‚Â TheÂ appropriateÂ conversionÂ factors:Â 1Â pmÂ =Â 1Ã—10-12mÂ andÂ 1Â nmÂ =Â 1Ã—10-9m

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