Chemistry Reference
In-Depth Information
EXAMPLE 2.32
10
2
Calculate the number of centimeters in
7.13
km.
Solution
a
1000 m
1 km
1 cm
0.01 m
10
2
km
10
3
cm
7.13
b
a
b
7.13
Practice Problem 2.32
Calculate the number of kilograms in 1.77
10
3
milligrams.
EXAMPLE 2.33
m
3
Calculate the volume of a 0.887
container in (a) liters and (b) cubic
centimeters.
Solution
a
1000 L
1 m
3
0.887 m
3
b
(a)
887 L
a
1,000,000 cm
3
1 m
3
0.887 m
3
887,000 cm
3
10
5
cm
3
b
(b)
8.87
Practice Problem 2.33
Calculate the volume of a 623-L container in
cubic meters.
EXAMPLE 2.34
A
unit cell
is a small portion of a crystalline solid that, when repeated very
many times, builds up an entire sample. A unit cell of a certain solid is cubic,
with edge length
10
10
2.00
m. How many unit cells does it take to occupy
cm
3
1.00
?
Solution
The volume of the unit cell is
10
10
m)
3
10
8
cm)
3
10
24
cm
3
(2.00
(2.00
8.00
The number of unit cells is therefore
1 unit cell
8.00
1.00 cm
3
10
23
unit cells
a
b
1.25
10
24
cm
3
Snapshot Review
❒
The metric system is easy because all the conversions are powers
of 10, all the prefixes mean the same thing no matter what unit
they are attached to, and all the symbols and abbreviations are
meaningful.
ChemSkill Builder 2.4
