Density

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Chapter 11 – Density
Q.I) Multiple choice questions. Tick the correct answer from the options given below.
1. The diagrams show a rectangular box with inside measurements of 5 cm × 6 cm × 4 cm.

What is the density of the liquid?

a.

220
5 × 6 ×4

b.

(220−40)
5 × 6× 4

c.

5 × 6 ×4
220

d.

5 × 6× 4
(220−40)

3
g / cm

g / cm

3

3
g / cm

3
g / cm

2. Which statement about the masses and weights of objects on the Earth is correct?
a. A balance can only be used to compare weights, not masses.
b. Heavy objects always have more mass than light ones.
c. Large objects always have more mass than small ones.
d. Mass is a force but weight is not.
3. Which items of apparatus are required to determine the density of a liquid?
a. balance and measuring cylinder
b. balance and thermometer
c. metre rule and measuring cylinder
d. metre rule and thermometer

4. A scientist needs to determine the volume of a small, irregularly shaped rock sample.
Only a rule and a measuring cylinder, partially filled with water, are available.

To determine the volume, which apparatus should the scientist use?
a. both the measuring cylinder and the rule
b. neither the measuring cylinder nor the rule
c. the measuring cylinder only
d. the rule only
5. The diagram shows a rectangular block of density 2 g /

cm 3

What is the mass of the block?
a. 2 g
b. 6 g
c. 14 g
d. 24 g
6. A student is trying to find the density of water and of a large, regularly shaped concrete
block.
Which apparatus is needed to find the density of both the water and the concrete block?
a. balance, clock, measuring cylinder
b. balance, clock, ruler
c. balance, measuring cylinder, ruler
d. clock, measuring cylinder, ruler

Q.II) Answer the following.
1. Fig. 1.1 shows a measuring cylinder containing water.

Fig. 1.2 shows the same measuring cylinder after stone A has been lowered into it on a
fine string.

Fig. 1.1

Fig. 1.2

(a) Calculate the volume of stone A.
volume = ..........................

cm3

(b) The mass of stone A is measured as 40.5 g.
Calculate the density of the rock from which stone A was formed.
density = ................................. [4]
(c) Stone B, from the same rock as stone A, has a larger volume.

Stone A is removed from the water and replaced by stone B. The measurements are then
repeated.
Which of the values in the experiment will be different when using stone B?
Tick boxes alongside any of the quantities that will have changed.
60.4

cm 3

40.5 g
Density
2. A student carries out an experiment to find the density of water, using a method that is
slightly different from normal. In his method, he starts with a measuring cylinder

containing some water, and then adds more water to that already in the measuring
cylinder.
His experiment is illustrated in Fig. 2.1.

Fig 2.1

The readings he obtains are as follows:
reading 1

53

cm3

reading 2

84

cm

3

reading 3

205 g

reading 4

238 g

Calculate
(a) the volume of the added water,
volume = .........................................

cm

3

(b) the mass of the added water,

mass = ............................................. g

(c) the density of water, stating clearly the equation you are using.
density = .................................................

3. The electrical output of a solar panel powers a pump. The pump operates a water
fountain.
The pump propels 0.00014 m3 of water per second. This water rises vertically as a jet.
The density of water is 1000 kg /

m3 .

Calculate
(a) the mass of water propelled by the pump in 1 second,
mass = .................................................
(c) the maximum height of the jet of water. If the surface area of the base is 160

m

2

maximum height = .................................................
Q.III) Alternative to practical
1. An IGCSE student is making measurements as accurately as possible in order to
determine the density of glass.
Fig. 1.1 shows a glass test-tube drawn actual size.

Fig 1.1
(a) (i) Use your rule to measure, in cm, the external diameter d of the test-tube.
d = .......................................cm
(ii) Use your rule to measure, in cm, the length x of the test-tube.
x =............................................
(iii) Draw a labelled diagram to show how you would use two rectangular blocks of wood
and your rule to measure the length x of the test-tube as accurately as possible.

(b) The mass m of the test-tube is 31.2 g.
(i) Calculate the external volume Ve of the test-tube using the equation
Ve =

d2 x
4

.

Ve =............................................
(ii) The student then fills the test-tube with water and pours the water into a measuring
cylinder. Fig. 1.2 shows the measuring cylinder.

Fig 1.2
Record the volume reading Vi from the measuring cylinder. This is the internal volume of the
test-tube.
Vi =............................................
(iii) Calculate the density of the glass from which the test-tube is made using the equation

=

m
V e−V i

.

= .......................................

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