Chemistry In Focus
Chemistry In Focus
7th Edition
ISBN: 9781337399692
Author: Tro, Nivaldo J.
Publisher: Cengage Learning,
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Chapter 2, Problem 31E
Interpretation Introduction

Interpretation:

Each number in given unit is to be determined.

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

Expert Solution & Answer
Check Mark

Answer to Problem 31E

Solution:

(a)

106 m2

(b)

2.82×104 cm3

(c)

9 ft2

Explanation of Solution

a) Square meters (m2) in 1 square kilometer (km2).

To convert km2 to m2, first write the correct conversion factor by using the following relationship:

1 km=1000 m(1km)2=(1000 m)21 km2=1000000 m2

Thus, correct conversion factor will be (1000000 m21 km2).

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

Hence,

1 km2×1000000m21 km2=106 m2

b) Cubic centimeters (cm3) in 1 cubic foot (ft3).

To convert ft3 to cm3, first write the correct conversion factor by using the following relationship:

1 ft=12 in.(1ft)3=(12 in)31 ft3=1728 in3

And

1 in.=2.54 cm(1in.)3=(2.54 cm)31 in3=16.387 cm3

Thus, correct conversion factors will be (1726 in.31 ft3)and(16.387 cm31 in3).

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

Hence,

1 ft3×1726in31ft3×16.387 cm31in3=2.82×104 cm3

c) Square feet (ft2) in 1 square yard (yd2).

To convert yd2 to ft2, first write the correct conversion factor by using the following relationship:

1 yd=3 ft(1yd)2=(3 ft)21 yd2=9 ft2

Thus, correct conversion factor will be (9 ft21 yd2).

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

Hence,

1 yd2×9ft21 yd2=9 ft2

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Chapter 2 Solutions

Chemistry In Focus

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