1.
Find the value of
a.
1.235 +
6.488
b.
1.235 -
6.488
c.
16 +
(-18)
d.
16 -
(-18)
2.
Evaluate
a.
1.239 +
1.641 -
0.672
b.
209 -
(162 -
101)
c.
-116
-
82 +
16 +
95
3.
Carry out the following multiplications or divisions, using your
calculator:
a.
1.69 x
2.38
b.
1.69 ÷
2.38
c.
-1.69
x
2.38
d.
-1.69
÷
(-2.38)
4.
Find the value of
a.
1.665 x
2.104 x
(-1.892)
b.
12.069 ÷
11.152
c.
5.
Evaluate
a.
1.392 -
2(0.114)
b.
(2.05)(-4.40)
+
1.61
c.
-9.61
+
250(0.0034)
6.
Determine the value of
a.
b.
c.
7.
Find the value of
a.
b.
c.
8.
Carry out the following operations:
a.
(1.62)2
b.
(4.18)-1
c.
(3.18)-3
d.
4
(1.92)3
9.
Find the value of
a.
(4.42)1/2
b.
(8.18)1/3
c.
(-8.18)1/3
10.
Two quantities x and y are related by the equation
x = 2y3
a.
Find x when y = 6.07
b.
Find y when x = 2.40
11.
Density is the ratio of mass to volume:
density = mass/volume
a.
What is the density of a sample weighing 1.648 g with a volume
of 1.235 cm3?
b.
A sample of aluminum has a volume of 12.6 cm3. The
density of aluminum is 2.70 g/cm3. What is the mass,
in grams, of the sample?
c.
What is the volume of a piece of aluminum weighing 12.7 g? (Take
the density to be 2.70 g/cm3 and note that volume =
mass/density.)
12.
The volume, V, of an ideal gas is given by
where n is
the number of moles. T is the temperature, P is
the pressure, and R is a constant, 0.0821 L
·
atm/(mol ·
K). Calculate V in liters (L) when
n = 1.02 mol, T = 298 K, P = 1.18 atm.
13.
The volume, V, of a (spherical) atom is given by the expression
V
= 4
r3/3
where r is
the atomic radius. Taking the atomic radius of cesium to be 0.262
nm, calculate the volume of a cesium atom in cubic nanometers
(nm3).