Chemistry Reference
In-Depth Information
Self-Tutorial Problems
A.1
Simplify each of the following:
(a)
A.13
Evaluate each of the following pairs of expressions,
using and In each case, determine if the
two expressions are equal.
84
x
28
y
a
10
b
5.
5
x
55
(b)
1
ab
1
a
1
b
3.5
x
a
x
12
(a)
(c)
7.0
(d)
9.6
b
1
1
a
1
b
(e)
2.50(
x
16)
7
(f)
(
x
7)
(2
x
25)
(b)
a
b
A.2
Simplify each of the following, if possible:
1
1
a
1
b
V
2
P
1
V
2
V
1
T
2
V
2
V
2
2
T
2
V
2
6
T
1
(c)
(a)
(b)
(c)
a
b
A.14
Calculate the percentage of sulfur in sulfur trioxide if a cer-
tain sample contains 8.66 g of oxygen and 5.78 g of sulfur.
A.3
Using an electronic calculator, find the value of
x
from
x
(
a
b
)
(
c
d
)
A.15
Calculate the mass of a sample of carbon monoxide
(which is 42.9% carbon) containing 13.7 g of carbon.
where and Repeat
this calculation twice, once using the parentheses keys
and once without using them.
a
2,
b
4,
c
6,
d
8.
A.16
Are the following expressions equal to each other?
(a)
(b)
a
(
b
c
)
d
(
e
f
)
ab
ac
de
df
A.4
Using an electronic calculator, find the value of
x
from
ac
bc
ad
bd
eg
eh
fg
fh
x
(
a
b
)
(
c
d
)
(
a
b
)(
c
d
)
(
e
f
)(
g
h
)
where
a
2,
b
12,
c
6,
and
d
8.
5.0
10
4
m.
A.17
Calculate the reciprocal of
A.5
Find the value of each of the following:
7
5
A.18
What value will be obtained if 3 is entered on a calcula-
tor and then the square key is pressed
twice?
(a)
(b)
7
5
10
(c)
(7
5)
10
10
(3.0 cm
3
)
(3.0 cm)
3
?
A.19
What units are obtained when a mass in kilograms
is divided by a volume in (a) cubic centimeters
(b) liters (L), and (c) cubic meters
A.6
What is the difference between
and
(cm
3
),
A.7
Simplify each of the following:
(m
3
)?
1 lb
1.75 dollars
(a)
22.75 dollars
a
b
A.20
Calculate the volume of a rectangular solid 7.00 cm
long, 1.80 cm wide, and 0.750 cm thick.
1 gal
29.3 miles
(b)
1626 miles
a
b
A.21
Write the exponential number corresponding to each of
the following displays on a scientific calculator:
(a)
A.8
What units are obtained when a volume in milliliters is
divided into a mass in (a) grams, (b) kilograms, and
(c) milligrams?
4.11
05
(b)
4.11
05
(c)
4.11
05
(d)
4.11
05
(e)
2.3
09
A.9
In each of the following sets, are the expressions equal?
a
b
1
c
1
b
a
c
a
bc
A.22 Write the display on your scientific calculator correspon-
ding to each of the following exponential numbers:
(a)
(a)
6.26
10
4
6.26
10
4
(b)
a
b
c
1
b
c
a
b
c
1
b
c
(b)
a
b
a
a
b
a
b
6.26
10
4
6.26
10
4
(c)
(d)
6.02
10
23
(e)
a
b
1
c
a
b
a
c
a
b
c
(c)
A.23
Determine the value of each of the following expressions
using your calculator:
(3.0)
2
3.0
10
2
.
A.10
Determine the value of (a) and (b)
A.11
Perform the following calculations on an electronic
calculator. Check the results mentally:
(a)
3.0
10
10
1.0
10
10
3.0
10
10
1.0
(a)
(b)
10
10
1
4
3
10
10
1.0
10
10
10
10
1.0
10
10
3.0
3.0
6
4
3
(b)
2
(3
4)
(c)
(c)
(d)
3
3.0
10
10
1.0
A.12
Perform the following calculations on an electronic
calculator. Check the results mentally:
(a)
(e)
10
10
(
5)
3
5
(
6)
4
(2
3)
2
(b)
(c)
