Chemistry
Chemistry
4th Edition
ISBN: 9780078021527
Author: Julia Burdge
Publisher: McGraw-Hill Education
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Chapter 1, Problem 67QP

Carry out the following conversions: (a) 185 nm to meters, (b) 4.5 billion years (roughly the age of Earth) to seconds (assume 365 days in a year), (c) 71 .2 cm 3 to cubic meters, (d) 88 .6 m 3 to liters.

Expert Solution & Answer
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Interpretation Introduction

Interpretation:

The given conversions are to be carried out for the given measurements.

Concept introduction:

Conversion factor is a fraction obtained from a relationship between the units. It is written as a ratio, and can be inverted to give two conversion factors for every relationship.

1m =109nm, to convert nm to m, the conversion factor is 1 m109 nm.

1 hr=60 min, to convert hours to minutes, the conversion factor is 60 min1 hr.

1 min=60 s, to convert minute to second, the conversion factor is 60s1min.

1 mile=1609 m, to convert meter to miles, the conversion factor is 1 mile1609 m.

1 m = 100 cm, to convert centimeter to meter, the conversion factor is 1 m100 cm.

1  m3 = 1000 L, to convert cubic meter to liters, the conversion factor is 1000 L1 m3.

Answer to Problem 67QP

Solution:

a) 1.85×107m

b) 1.4×1017s

c) 7.12×105 m3

d) 8.86×104 L

Explanation of Solution

a) 185 nm to meter

Convert the quantity 185 nm to meters.

Set up the unit conversion calculation using the appropriate conversion factor, which is as follows:

(185 nm (1 m109 nm))=1.85×107m.

The units in the conversion factor must cancel to give the correct unit for the answer.

Hence,

185 nm=1.85×107m.

b) 4.5 billion years to seconds

Convert the quantity 4.5 billion years to seconds.

Set up the unit conversion calculation using the appropriate conversion factors.

The conversion is as follows:

(4.5×109 years × 365 days1 year × 24 h1 day×60 min1 h×60 smin)=1.4×1017s.

The units in the conversion factor must cancel to give the correct unit for the answer.

Hence,

4.5×109 years = 1.4×1017s.

c) 71.2 cm3 to m3

Convert the quantity 71.2 cm3 to m3.

Set up the unit conversion calculation using the appropriate conversion factor.

The conversion is as follows:

(71.2 cm3 × 1 m3106 cm3)=7.12×105 m3.

The units in the conversion factor must cancel to give the correct unit for the answer.

Hence,

71.2 cm3=7.12×105 m3.

d) 88.6 m3 to L

Convert the quantity 88.6 m3 to L.

Set up the unit conversion calculation using the appropriate conversion factors.

The conversion is as follows:

(88.6 m3)(1000 Lm3)=8.86×104 L.

The units in the conversion factor must cancel to give the correct unit for the answer.

Hence,

8.86 m3=88.6×104 L.

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Chapter 1 Solutions

Chemistry

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