# A pond has a surface area of 1552 m 2 . Convert this quantity into each of the following units: a . ft 2 b . km 2 c . dm 2

### Chemistry In Focus

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

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 2, Problem 29E
Textbook Problem
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## A pond has a surface area of 1552 m 2 . Convert this quantity into each of the following units: a . ft 2 b . km 2 c . dm 2

Interpretation Introduction

Interpretation:

The surface area of the pond, 1552 m2 is to be converted into given units.

Concept Introduction:

Dimensional analysis is useful in converting 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

a) 1552 m2 to ft2.

To convert m2 to ft2, first write the correct conversion factor by using the following relationship:

1 m=39.37 in.(1m)2=(39.37 in)21 m2=1549.99 in2

And

1 ft=12 in.(1ft)2=(12 in.)21 ft2=144 in.2

Thus, correct conversion factors will be (1550 in.21 m2)and(1 ft2144 in.2).

Multiply the conversion factors with the given quantity, cancelling units to get the desired quantity.

Hence,

1552 m2×1549.99in21m2×1 ft2144in2=1.6705×104 ft2

b) 1552 m2 to km2

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