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DENSITYDENSITY
Q) Which weighs more:-
A kilogram of feathers or a kilogram of iron?
What is Density?What is Density?
Density is the Mass per unit
Volume
Wood Water Iron
1 cm3
1 cm3 1 cm3
If you take the same volume of different substances,
then they will weigh different amounts.
0.50 g 1.00 g 8.00 g
Q) Which has the greatest mass and therefore the most dense?
IRON
Density is defined as mass per unit volume. It
is a measure of how tightly packed and how
heavy the molecules are in an object. Density
is the amount of matter within a certain volume.
Its unit is g/cm3
or kg/m3
Density
Density = Mass
Volume
g or kg
cm3
or kg3
gcm-3
or kgm-3
ρ = m
V
Example:
Q) Liquid water has a density of
1000kgm-3
, while ice has density of
920kgm-3
.
Calculate the volume occupied by
0.25kg of each.
Density Equation:
m
Vρ
V = m = 0.25 = 0.000250m3
ρ 1000
V = m = 0.25 = 0.000272m3
ρ 920
Change Mass AND Keep Volume SameChange Mass AND Keep Volume Same
Increase the massIncrease the mass  increases densityincreases density
Decrease the massDecrease the mass  decreasesdecreases
densitydensity
Which container has more density?Which container has more density?
AA BB
Ways to Affect Density
Change Volume AND Keep Mass SameChange Volume AND Keep Mass Same
Increase the volumeIncrease the volume  decreases densitydecreases density
Decrease the volumeDecrease the volume  increases densityincreases density
Which container has more density?Which container has more density?
 A BA B
Ways to Affect Density
DENSITY OF A REGULAR SOLIDDENSITY OF A REGULAR SOLID
 Find the Mass ofFind the Mass of
the solid on athe solid on a
balance.balance.
 Measure theMeasure the
three lengths andthree lengths and
calculate thecalculate the
Volume.Volume.
(ie V = l x w x h )(ie V = l x w x h )
 Calculate theCalculate the
Density.Density.4.0 cm
2.0 cm
3.0 cm
ρ = m = 240 =10.0 g/cm3
V 24
m = 240 g
DENSITYDENSITY g/cmg/cm33
AluminiumAluminium 2.702.70
BrassBrass 8.508.50
IronIron 7.867.86
WoodWood 0.500.50
SlateSlate 2.802.80
GlassGlass 2.502.50
LeadLead 11.311.3
MarbleMarble 2.702.70
WaxWax 0.890.89
DENSITY OF AN IRREGULARDENSITY OF AN IRREGULAR
SOLIDSOLID
 Find the Mass of the solidFind the Mass of the solid
on a balance.on a balance.
Fill the Measuring CylinderFill the Measuring Cylinder
with Water to a knownwith Water to a known
Volume.Volume.
 Add the Object.Add the Object.
 Work out the Volume ofWork out the Volume of
Water that is displaced.Water that is displaced.
 Calculate the Density.Calculate the Density.
50 cm3
80 cm3
m = 360 g
ρ = m = 360 =12.0 g/cm3
V 30
DENSITY OF A FLOATINGDENSITY OF A FLOATING
OBJECTOBJECT
 Find the Mass of the object onFind the Mass of the object on
a balance.a balance.
Add some amount of Water toAdd some amount of Water to
a Measuring Cylindera Measuring Cylinder
 Add only the steel ball firstAdd only the steel ball first
 Find the Volume of WaterFind the Volume of Water
Now add the steel ball alongNow add the steel ball along
with the objectwith the object
Find the volume of waterFind the volume of water
displaceddisplaced
Calculate the Density.Calculate the Density.
50 cm3
80 cm3
m = 36 g
ρ = m = 36 =3.6 g/cm3
V 10
90 cm3
DENSITY OF A LIQUIDDENSITY OF A LIQUID
 Find the Mass of an emptyFind the Mass of an empty
Measuring Cylinder.Measuring Cylinder.
 Add a certain Volume ofAdd a certain Volume of
Liquid.Liquid.
 Find the Mass of theFind the Mass of the
Measuring Cylinder and LiquidMeasuring Cylinder and Liquid
 Calculate the Mass of Liquid.Calculate the Mass of Liquid.
 How?How?
 Calculate Density of Liquid.Calculate Density of Liquid.
Mass of Liquid = Mass of Measuring Cylinder and Liquid – Mass
of
empty Measuring Cylinder
25.0 g
20.0 cm3
45.0 g
45 – 25 = 20 g
ρ = m = 20 =1.00 g/cm3
V 20
If you have 2 or more
liquids,
the MORE dense
liquid will be on
bottom
The LESS dense
liquid will be on top
Let’s try some density problemsLet’s try some density problems
togethertogether
1 Frank has a paper clip. It has a mass of 9g and1 Frank has a paper clip. It has a mass of 9g and
a volume of 3cma volume of 3cm33
. What is its density?. What is its density?
2. Frank also has a pen. It has a mass of 3g, but2. Frank also has a pen. It has a mass of 3g, but
he doesnot know the volume. Explain how hehe doesnot know the volume. Explain how he
can find the density by giving appropriatecan find the density by giving appropriate
values as examples.values as examples.
Super Scientist
Question of the Day
• Jake has a book, a ruler, and a
balance.
•
• How can Jake find the density of
the book with the tools he has?

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Class VII Physics - Density

  • 1. DENSITYDENSITY Q) Which weighs more:- A kilogram of feathers or a kilogram of iron?
  • 2. What is Density?What is Density? Density is the Mass per unit Volume Wood Water Iron 1 cm3 1 cm3 1 cm3 If you take the same volume of different substances, then they will weigh different amounts. 0.50 g 1.00 g 8.00 g Q) Which has the greatest mass and therefore the most dense? IRON
  • 3. Density is defined as mass per unit volume. It is a measure of how tightly packed and how heavy the molecules are in an object. Density is the amount of matter within a certain volume. Its unit is g/cm3 or kg/m3 Density
  • 4. Density = Mass Volume g or kg cm3 or kg3 gcm-3 or kgm-3 ρ = m V Example: Q) Liquid water has a density of 1000kgm-3 , while ice has density of 920kgm-3 . Calculate the volume occupied by 0.25kg of each. Density Equation: m Vρ V = m = 0.25 = 0.000250m3 ρ 1000 V = m = 0.25 = 0.000272m3 ρ 920
  • 5. Change Mass AND Keep Volume SameChange Mass AND Keep Volume Same Increase the massIncrease the mass  increases densityincreases density Decrease the massDecrease the mass  decreasesdecreases densitydensity Which container has more density?Which container has more density? AA BB Ways to Affect Density
  • 6. Change Volume AND Keep Mass SameChange Volume AND Keep Mass Same Increase the volumeIncrease the volume  decreases densitydecreases density Decrease the volumeDecrease the volume  increases densityincreases density Which container has more density?Which container has more density?  A BA B Ways to Affect Density
  • 7. DENSITY OF A REGULAR SOLIDDENSITY OF A REGULAR SOLID  Find the Mass ofFind the Mass of the solid on athe solid on a balance.balance.  Measure theMeasure the three lengths andthree lengths and calculate thecalculate the Volume.Volume. (ie V = l x w x h )(ie V = l x w x h )  Calculate theCalculate the Density.Density.4.0 cm 2.0 cm 3.0 cm ρ = m = 240 =10.0 g/cm3 V 24 m = 240 g
  • 8. DENSITYDENSITY g/cmg/cm33 AluminiumAluminium 2.702.70 BrassBrass 8.508.50 IronIron 7.867.86 WoodWood 0.500.50 SlateSlate 2.802.80 GlassGlass 2.502.50 LeadLead 11.311.3 MarbleMarble 2.702.70 WaxWax 0.890.89
  • 9. DENSITY OF AN IRREGULARDENSITY OF AN IRREGULAR SOLIDSOLID  Find the Mass of the solidFind the Mass of the solid on a balance.on a balance. Fill the Measuring CylinderFill the Measuring Cylinder with Water to a knownwith Water to a known Volume.Volume.  Add the Object.Add the Object.  Work out the Volume ofWork out the Volume of Water that is displaced.Water that is displaced.  Calculate the Density.Calculate the Density. 50 cm3 80 cm3 m = 360 g ρ = m = 360 =12.0 g/cm3 V 30
  • 10. DENSITY OF A FLOATINGDENSITY OF A FLOATING OBJECTOBJECT  Find the Mass of the object onFind the Mass of the object on a balance.a balance. Add some amount of Water toAdd some amount of Water to a Measuring Cylindera Measuring Cylinder  Add only the steel ball firstAdd only the steel ball first  Find the Volume of WaterFind the Volume of Water Now add the steel ball alongNow add the steel ball along with the objectwith the object Find the volume of waterFind the volume of water displaceddisplaced Calculate the Density.Calculate the Density. 50 cm3 80 cm3 m = 36 g ρ = m = 36 =3.6 g/cm3 V 10 90 cm3
  • 11. DENSITY OF A LIQUIDDENSITY OF A LIQUID  Find the Mass of an emptyFind the Mass of an empty Measuring Cylinder.Measuring Cylinder.  Add a certain Volume ofAdd a certain Volume of Liquid.Liquid.  Find the Mass of theFind the Mass of the Measuring Cylinder and LiquidMeasuring Cylinder and Liquid  Calculate the Mass of Liquid.Calculate the Mass of Liquid.  How?How?  Calculate Density of Liquid.Calculate Density of Liquid. Mass of Liquid = Mass of Measuring Cylinder and Liquid – Mass of empty Measuring Cylinder 25.0 g 20.0 cm3 45.0 g 45 – 25 = 20 g ρ = m = 20 =1.00 g/cm3 V 20
  • 12. If you have 2 or more liquids, the MORE dense liquid will be on bottom The LESS dense liquid will be on top
  • 13. Let’s try some density problemsLet’s try some density problems togethertogether 1 Frank has a paper clip. It has a mass of 9g and1 Frank has a paper clip. It has a mass of 9g and a volume of 3cma volume of 3cm33 . What is its density?. What is its density? 2. Frank also has a pen. It has a mass of 3g, but2. Frank also has a pen. It has a mass of 3g, but he doesnot know the volume. Explain how hehe doesnot know the volume. Explain how he can find the density by giving appropriatecan find the density by giving appropriate values as examples.values as examples.
  • 14. Super Scientist Question of the Day • Jake has a book, a ruler, and a balance. • • How can Jake find the density of the book with the tools he has?