   Chapter 1, Problem 1RCYU

Chapter
Section
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,

The appropriate conversion factors: 1 pm = 1×10-12m and 1 nm = 1×10-9m.Given:0.154nm0.154 nm×10-9m1nm = 0.154×10-9m0.154×10-9 154×10-9 ×1×10-3nm or  154 nm.

The distance between two atoms is 154nm

In centimeters the distance is calculated as,

The appropriate conversion factors: 1 pm = 1×10-12m and 1 nm = 1×10-9m

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