EBK INTRODUCTION TO CHEMISTRY
EBK INTRODUCTION TO CHEMISTRY
5th Edition
ISBN: 9781260162165
Author: BAUER
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 1, Problem 19QP

Carry out the following conversions. Report your answers to the correct number of signi�cant �gures.

(a) 36 mm to m

(b) 357 kg to g

(c) 76.50 mL to L

(d) 0.0084670 m to cm

(e) 597 nm to m

(f) 36.5 in to cm

(g) 168 lb to g

(h) 914 qt to L

(i) 44.5 cm to in

(j) 236.504 g to lb

(k) 2.0 L to qt

(a)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 36 mm to m .

Explanation of Solution

The relation between millimeter mm and meter m is shown below:

1 mm=103 m

The conversion factors used to convert mm into m is shown below:

1 mm103 mor103 m1 mm

36 mm is converted into m using the conversion factor as follows:

36 mm=36 mm×103 m1 mm=0.036 m

The given number 36 mm has two significant figures. Therefore, the answer will be reported in two significant figures.

The final answer is 0.036 m .

(b)

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Interpretation Introduction

Interpretation:

The conversion of 357 kg to g .

Explanation of Solution

The relation between kilogram kg and gram g is shown below:

1 kg=1000 g

The conversion factors used to convert kg into g is shown below:

1 kg1000 gor1000 g1 kg

357 kg is converted into g using conversion factor as shown below.

357 kg=357 kg×1000 g1 kg=357000 g=3.57×105g

The given number 357 kg has three significant figures. Therefore, the answer will be reported in three significant figures.

Therefore, the final answer is 3.57×105g .

(c)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 76.50 mL to L .

Explanation of Solution

The relation between milliliter mL and liter L is shown below:

1 mL=103L

The conversion factors used to convert mL into L is shown below:

1 mL103Lor103L1 mL

76.50 mL is converted into L using conversion factor is shown below.

76.50 mL=76.50 mL×103 L1 mL=0.07650 L

The given number 76.50 mL has four significant figures that means that the answer will be reported in four significant figures also.

Therefore, the final answer is 0.07650 L .

(d)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 0.0084670 m to cm .

Explanation of Solution

The relation between meter m and centimeter cm is shown below:

1 m=100 cm

The conversion factors used to convert m into cm is shown below:

1 m100 cmor100 cm1 m

0.0084670 m is converted into cm using conversion factor is shown below.

0.0084670 m=0.0084670 m×100 cm1 m=0.84670 cm

The given number 0.0084670 m has five significant figures that means that the answer will be reported in five significant figures only.

Therefore, the final answer is 0.84670 cm .

(e)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 597 nm to m .

Explanation of Solution

The relation between nanometer nm and meter m is shown below:

1 mm=109 m

The conversion factors used to convert nm into m is shown below:

1 nm109 mor109 m1 nm

597 nm is converted into m using the conversion factor as follows:

597 nm=597 nm×109 m1 nm=5.97×109×102 m=5.97×109+2 m=5.97×107 m

The given number 597 nm has three significant figures. Therefore, the answer will be reported in three significant figures only.

The final answer is 5.97×107 m .

(f)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 36.5 in to cm .

Explanation of Solution

The relation between in and cm is shown below:

1 in=2.54 cm

The conversion factors used to convert in into cm is shown below:

1 in2.54 cmor2.54 cm1 in

36.5 in is converted into cm using the conversion factor as follows:

36.5 in=36.5 in×2.54 cm1 in=92.7 cm

The given number has three significant figures, hence, the answer will be reported in three significant figures only.

The final answer is 92.7 cm .

(g)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 168 lb to g .

Explanation of Solution

The relation between lb and g is shown below:

1 lb=453.6 g

The conversion factors used to convert lb into g is shown below:

1 lb453.6 gor453.6 g1 lb

168 lb is converted into g using the conversion factor as follows:

168 lb=168 lb×453.6 g1 lb=76204.8 g=7.62×104 g

The given number has three significant figures, hence, the answer will be reported in three significant figures only.

The final answer up to three significant figures is 7.62×104 g .

.

(h)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 914 qt to L .

Explanation of Solution

The relation between Quart qt and Liter L is shown below:

1 qt=0.9464 L

The conversion factors used to convert qt into L is shown below:

1 qt0.9464 Lor0.9464 L1 qt

914 qt is converted into L using the conversion factor as follows:

914 qt=914 qt×0.9464 L1 qt=865.0096 L=865 L

The given number 914 qt has three significant figures that means that the answer will be reported in three significant figures only.

Therefore, the final answer is 865 L .

(i)

Expert Solution
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Interpretation Introduction

Interpretation:

The conversion of 44.5 cm to in .

Explanation of Solution

The relation between in and cm is shown below:

1 in=2.54 cm

The conversion factors used to convert cm into in is shown below:

1 in2.54 cmor2.54 cm1 in

44.5 cm is converted into cm using the conversion factor as follows:

44.5 cm=44.5 cm×1 in2.54 cm=17.519 in=17.5 in

The given number has three significant figures that means that the answer will be reported in three significant figures only.

Therefore, the final answer is 17.5 in .

(j)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The conversion of 236.504 g to lb .

Explanation of Solution

The relation between lb and g is shown below:

1 lb=453.6 g

The conversion factors used to convert g into lb is shown below:

1 lb453.6 gor453.6 g1 lb

236.504 g is converted into g using the conversion factor as follows:

236.504 g=236.504 g×1 lb453.6 g=0.5214 lb=0.5214 lb

The final answer is 0.5214 lb .

(k)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The conversion of 2.0 L to qt .

Explanation of Solution

The relation between Quart qt and Liter L is shown below:

1 qt=0.9464 L

The conversion factors used to convert L into qt is shown below:

1 qt0.9464 Lor0.9464 L1 qt

2.0 L is converted into qt using the conversion factor as follows:

2.0 L=2.0 L×1 qt0.9464 L=2.11 qt=2.1 qt

The given number has two significant figures that means thar the answer will be reported in two significant figures only.

Therefore, the final is 2.1 qt .

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Chapter 1 Solutions

EBK INTRODUCTION TO CHEMISTRY

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