Using Table 12.1 the density of ice is 919 we already have the mass which is 1000 kg of
ice so the volume of 1000 kg of ice would be 1.08814m³
6.
How many gold atoms are in a 1 kg gold bar? The chemical symbol of gold is Au. Consult
The Periodic Table in Figure 11.9 on p. 216 in the textbook. Hint: Remember 1u=1.66x10
-27
kg.
1
mole= 6.022x10
23
, which is Avogadro’s number
If 1kg = 1,000g
Gold 196.97 g/mol
1000/196.97 = 5.08 mol
7.
There are two water containers: a cube and a sphere. The length of the side of the cube is 3 m
and the radius of the sphere is 3 m. When the two containers are full of water, which container
contains more mass? Hint: Use the relationship between density, mass, and volume.
Mass=density x volume. If the length of the side of a cube is r m, the volume of the cube is r
3
m
3
.

Unit V Problem Solving Worksheet
If the radius of a sphere is r, the volume of the sphere is 4/3 xπ x r
3
m
3
. Here x r
3
=r x r x r.
Cube volume = L³ = 3³ = 27m³
Sphere volume =
4
3
×π r
3
=
4
3
×
22
7
×
3
3
=
113.14286
m
3
The sphere contains more mass.
8.
A force of 100 N is required to squeeze a hand exerciser that has a coiled spring. The spring is
compressed by 0.02 meters. Determine the spring constant. Hint: Use Hooke’s law. The restoring
force of an ideal spring is F=-kx, where k is the spring constant and x is the displacement of the
spring from its original length.
Spring constant =
force
extension
=
f
x
=
100
0.02
=
5000
n
/
m

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- Summer '18
- Jeffery
- Atom, Atomic Number, Chemical element