Density

Problem 1

Given: mass = 0.196 g

volume= 100 ml

Find: density

Solution:

mLg 0.00196 d

mL 100

0.196gd

v

md

D V

M

Problem 2Given: length of each side = 3.0 cm

volume = 3.0 cm x 3.0 cm x 3.0 cm

= 27 cm3

mass = 27 g

Find: density

Solution:

3 cm

3 cm3 cm

D V

M

3

3

cmg1d

cm 27

27gd

v

md

Problem 3Given: volume water = 2.0 ml

volume water + object = 7.0 ml

volume water change= 7.0 ml – 2.0 ml = 5.0 ml

1mL = 1cm3

volume of object = 5.0 cm3

mass = 25 g

Find: density

Solution:

2.0 ml7.0 ml

D V

M

3

3

cmg5 d

5cm

25gd

v

md

Problem 4

Given: volume copper = 10.0 cm3

mass copper = 89.6 g

Find: density

Solution:

D V

M

3

3

cmg8.96d

cm 10.0

89.6gd

v

md

Problem 5Given: density silver = 10.5 g/cm3

density gold = 19.3 g/cm3

volume silver = 5 cm3

volume gold = 5 cm3

Find: mass of gold and silver

Solution:

g5.52m

cm5cm

g5.10m

volumedensitym

silver

33silver

silversilversilver

g5.96m

cm5cm

g3.19m

volumedensitym

gold

33gold

goldgoldgold

D V

M

Problem 6Given: volume ethanol = 5.0 ml

mass ethanol = 3.9 g

volume benzene = 5 ml

mass benzene = 4.4 g

Find: density of ethanol and benzene

Solution:

mLg0.78d

5.0mL

3.9gd

v

md

ethanol

ethanol

ethanol

ethanolethanol

mLg0.88d

mL5

g4.4d

v

md

benzene

benzene

benzene

benzenebenzene

D V

M

Problem 7Given: volume iron = 2 cm x 3 cm x 2 cm

volume iron = 12 cm3

mass iron = 94 g

Find: density

Solution:

2 cm

2 cm3 cm

3

3

cmg37.8d

cm 12

94gd

v

md

D V

M