Principles of General Chemistry
Principles of General Chemistry
3rd Edition
ISBN: 9780073402697
Author: SILBERBERG, Martin S.
Publisher: McGraw-Hill College
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Chapter 1, Problem 1.14P

Write the conversion factor(s) for

  1. in 2  to m 2 (b) km 2  to cm 2

(c) mi/h to m/s (d) ib/ft 3  to g/cm 3

a)

Expert Solution
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Interpretation Introduction

Interpretation:Conversion factor(s) for in2 to m2 should be determined.

Concept introduction:Conversion factor is ratio that is widely used to describe relation between two different units. In order to convert one unit into another, original unit is multiplied with proper conversion factor to yield new unit. This is done as mentioned below.

  Final unit=(Original unit)(Final unit Original unit)

Explanation of Solution

Both inches and meter are units used for measurement of lengths. Since 1 inch is equivalent to 0.0254 meters, conversion factor for conversion of length from inches to meters is mentioned below.

  Conversion factor=(0.0254 m1 in)

But the original unit is present in in2 and final unit is required in m2 . For this purpose, above mentioned conversion factor should be squared and required conversion factor for conversion of in2 to m2 is as follows:

  Conversion factor=( 0.0254 m 1 in)2=( 0.00064516  in 2 1  m 2 )

b)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:Conversion factor for km2 to cm2 should be determined.

Concept introduction:Conversion factor is ratio that is widely used to describe relation between two different units. In order to convert one unit into another, original unit is multiplied with proper conversion factor to yield new unit. This is done as mentioned below.

  Final unit=(Original unit)(Final unit Original unit)

Explanation of Solution

Both kilometer and centimeter are units used for measurement of lengths. Since 1 kilometer is equivalent to 100000 centimeters, conversion factor for conversion of length from kilometer to centimeter is mentioned below.

  Conversion factor=( 105 cm1 km)

But the original unit is present in km2 and final unit is required in cm2 . For this purpose, above mentioned conversion factor should be squared and required conversion factor for conversion of km2 to cm2 is as follows:

  Conversion factor=( 10 5  cm 1 km)2=( 10 10  cm 2 1  km 2 )

c)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:Conversion factor for mi/h to m/s should be determined.

Concept introduction:Conversion factor is ratio that is widely used to describe relation between two different units. In order to convert one unit into another, original unit is multiplied with proper conversion factor to yield new unit. This is done as mentioned below.

  Final unit=(Original unit)(Final unit Original unit)

Explanation of Solution

Both miles and meter are units used for measurement of lengths while hour and second are units for time measurement. Since 1 mile is equivalent to 1609.34 meters and 1 hour is equivalent to 3600 seconds, conversion factor for conversion of mi/h from m/s is mentioned below.

  Conversion factor=(1609.34 m1 mi)(1 h3600 s)

d)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:Conversion factor for lb/ft3 to g/cm3 should be determined.

Concept introduction:Conversion factor is ratio that is widely used to describe relation between two different units. In order to convert one unit into another, original unit is multiplied with proper conversion factor to yield new unit. This is done as mentioned below.

  Final unit=(Original unit)(Final unit Original unit)

Explanation of Solution

Both pound and mass are units to measure mass while feet and centimeter are used to measure lengths. 1 pound is equivalent to 453.592 grams and 1 feet is equivalent to 30.48 centimeters. Therefore conversion factor for conversion of lb/ft3 to g/cm3 is as follows:

  Conversion factor=( 453.592 g 1 lb)( 1 ft 30.48 cm)3=( 453.592 g 1 lb)( 1  ft 3 28316.846592  cm 3 )

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Write the conversion factor(s) for (a) in2 to m2 (b) km2 to cm2 (c) mi/h to m/s (d) lb/ft3 to g/cm3
Write the conversion factor(s) for(a) in2 to m2           (b) km2 to cm2(c) mi/h to m/s        (d) lb/ft3 to g/cm3
Write the conversion factor(s) for(a) in² to m²(b) km² to cm²(c) mi/h to m/s(d) lb/ft³to g/cm

Chapter 1 Solutions

Principles of General Chemistry

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