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# The distance from New York to Los Angeles is 2777 miles. Convert this distance into each of the following units: a. kilometers b. meters c. feet

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### Chemistry In Focus

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

#### Solutions

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Section
BuyFindarrow_forward

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 2, Problem 20E
Textbook Problem
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## The distance from New York to Los Angeles is 2777 miles. Convert this distance into each of the following units:a. kilometersb. metersc. feet

Interpretation Introduction

Interpretation:

The distance from New York to Los Angeles given in miles is to be converted into kilometers, meters, and feet units.

Concept introduction:

Dimensional analysis is useful in converting from one unit to another.

To convert a quantity au1 from one unit to another, that is, u1u2, first write a conversion factor u2u1 then multiply the conversion factor with the given quantity au1, cancelling units to get the quantity in the desired unit as follows;

au1×u2u1=au2

### Explanation of Solution

Given information:

The distance from New York to Los Angeles is 2777 miles.

a) Kilometer

To convert miles to kilometer, first write the correct conversion factor by using the following relationship:

0.6214 mi=1 km

Thus, the correct conversion factor will be (1 km0.6214 mi).

Multiply the conversion factor with the given quantity, cancelling units to get the desired quantity as follows:

2777 mi×1 km0.6214 mi=4469 km

b) Meters

To convert miles to meters, first convert miles to kilometer and write the correct conversion factor by using the following relationship:

0.6214 mi=1 km

Thus, the correct conversion factor will be (1 km0.6214 mi).

Multiply the conversion factor with the given quantity, cancelling units to get the desired quantity as follows:

2777 mi×1 km0

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