General Chemistry
General Chemistry
4th Edition
ISBN: 9781891389603
Author: Donald A. McQuarrie, Peter A. Rock, Ethan B. Gallogly
Publisher: University Science Books
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Chapter 1, Problem 1.35P

(a)

Interpretation Introduction

Interpretation:

SI unit conversion has to be performed for 21.5cm to m.

Concept Introduction:

Conversion of one unit into another unit is done by the use of unit conversion factor.  This involves multiplying or dividing by the power of 10.  For example, if centimeter has to be converted into meter, then the given value in centimeter has to be multiplied by the conversion factor as shown below.

    1=1m100cm

(a)

Expert Solution
Check Mark

Explanation of Solution

Given value is 21.5cm.  This has to be converted into meters using the conversion factor.  Conversion factor for centimeter and meter conversion is given below.

    1m100cmor100cm1m

As the given value is in centimeter, the first conversion factor is considered.  The SI unit conversion is performed as shown below.

    21.5cm×1m100cm=0.215m

Therefore, the SI unit converted value of 21.5cm is 0.215m.

(b)

Interpretation Introduction

Interpretation:

SI unit conversion has to be performed for 7.56×10-6m to μm.

Concept Introduction:

Refer part (a).

(b)

Expert Solution
Check Mark

Explanation of Solution

Given value is 7.56×10-6m.  This has to be converted into micrometers using the conversion factor.  Conversion factor for micrometer and meter conversion is given below.

    1μm106mor106m1μm

As the given value is in meter, the first conversion factor is considered.  The SI unit conversion is performed as shown below.

    7.56×106m×1μm106m=7.56μm

Therefore, the SI unit converted value of 7.56×106m is 7.56μm.

(c)

Interpretation Introduction

Interpretation:

SI unit conversion has to be performed for 1.2×10-7mg to pg.

Concept Introduction:

Refer part (a).

(c)

Expert Solution
Check Mark

Explanation of Solution

Given value is 1.2×10-7mg.  This has to be converted into picograms using the conversion factor.  Conversion factor for milligram and picogram conversion is given below.

    1mg103gor103g1mgand1pg1012gor1012g1pg

As the given value is in microgram, the conversion is done using the conversion factors as shown below.

    1.2×10-7mg×103g1mg×1pg1012g=1.2×107×1031012pg=1.2×102pg

Therefore, the SI unit converted value of 1.2×10-7mg is 1.2×102pg.

(d)

Interpretation Introduction

Interpretation:

SI unit conversion has to be performed for 15000000KB to GB.

Concept Introduction:

Refer part (a).

(d)

Expert Solution
Check Mark

Explanation of Solution

Given value is 15000000KB.  This has to be converted into gigabytes using the conversion factor.  Conversion factor for kilobytes and gigabytes conversion is given below.

    1GB1048576KBor1048576KB1GB

As the given value is in kilobytes, the first conversion factor is used.  This is performed as shown below.

    15000000KB×1GB1048576KB=14.30GB

Therefore, the SI unit converted value of 15000000KB is 14.30GB.

(e)

Interpretation Introduction

Interpretation:

SI unit conversion has to be performed for 6.67mm3 to cm3.

Concept Introduction:

Refer part (a).

(e)

Expert Solution
Check Mark

Explanation of Solution

Given value is 6.67mm3.  This has to be converted into cubic-centimeter using the conversion factor.  Conversion factor for cubic-millimeter and cubic-centimeter conversion is given below.

    1mm30.001cm3or0.001cm31mm3

As the given value is in cubic-millimeter, the second conversion factor is used.  This is performed as shown below.

    6.67mm3×0.001cm31mm3=0.00667cm3=6.67×103cm3

Therefore, the SI unit converted value of 6.67mm3 is 6.67×103cm3.

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Chapter 1 Solutions

General Chemistry

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