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Mass and Density 
Have Fun !!!
Mass - the amount of matter in a substance 
-depends on the number and size of particles making up that substance 
-the same wherever it is measured 
Mass 
What is mass?
What is the SI unit of mass? 
SI unit for mass – the kilogram (kg) 
Large masses (e.g. a car) - measured in tonnes 
1 tonne 
= 1 000 kg 
Small masses (e.g. a watch) – measured in grams (g) 
1 gram (g) 
= 0.001 kg
A beam balance - gives very accurate measurements 
An electronic balance - easier to use - gives more accurate measurements - gives digital readings 
Instruments for Measuring Mass
Weight - the gravitational force acting on a body 
The weight of a body is greater on Earth than on the moon. Why? The earth exerts a greater gravitational force on it than the moon. 
Weight 
What is weight?
Measuring weight 
A compression spring balance 
An extension spring balance
What is the SI unit of weight? 
SI unit for weight - the newton (N) 
A body of mass 1 kg has a weight of about 10 N. 
Hence an apple of mass 100 g will have a weight of about 1 N
In science, such statements are not accurate 
Why? 
There is no mention of the volume of the materials being compared. 
We sometimes hear people saying that expanded polystyrene is lighter than wood or that water is heavier than oil or that aluminium is lighter than iron.
We can correctly say iron is heavier than aluminium, 
expanded polystyrene is lighter than wood 
or that water is heavier than oil 
only when comparing equal volume of them.
Iron has a greater mass than an equal volume of aluminium and so we say ‘Iron is denser than aluminium.’ Expanded polystyrene has a smaller mass than an equal volume of wood and so we say ‘Expanded polystyrene is less dense than wood.’ 
In scIence, the term ‘density’ Is used.
Density 
1 cm3 of aluminium has a mass of 2.7 g, so we say 
the density of aluminium is 2.7 g/cm3. 
1 m3 of air has a mass of 1.29 kg, so we say 
the density of air is 1.29 kg/m3.
Definition of Density: The density of a substance is its mass per unit volume. 
Mass 
Volume 
Density = 
SI unit for density is the kilogram per cubic metre (kg/m3). Another common unit for density is the gram per cubic centimetre (g/cm3). 
Formula:
Mass 
Volume 
Density = 
Finding the density of a substance 
Step 1: Measure the mass and the volume of the substance 
Step 2: Divide the mass of the substance by its volume.
Finding the density of a liquid 
Step 1: Measure the mass and the volume of the substance 
Mass 
Volume 
Density = 
Step 2:
Finding the density of a regularly shaped object Step 1: Measure the mass and calculate from dimensions, the volume of the object 
l 
h 
b 
l 
l 
l 
r 
r 
h 
Mass 
Volume 
Density = 
Step 2:
Finding the density of an irregularly shaped object
Finding the density of an irregularly shaped object
Finding the density of an irregularly shaped object 
Mass Volume 
Density =
Substance Density in g/cm3 
Platinum 21.5 
Gold 19.3 
Lead 11.3 
Silver 10.5 
Copper 8.9 
Iron 7.9 
Zinc 7.1 
Aluminium 2.7 
Glass 2.5 
Ice 0.92 
Pinewood 0.50 
Cork 0.24
Substance Density in g/cm3 
Mercury 13.6 
Glycerine 1.26 
Sea water 1.03 
Pure water 1.00 (at 4OC) 
Olive oil 0.92 
Turpentine 0.87 
Petrol 0.80 
Alcohol 0.79 
Air 0.001 29 
Hydrogen 0.000 09
Substances, e.g. a piece of metal or a volume of gas become less dense when they are hotter. 
Why is this so? 
They expand when they become hotter. With a bigger volume, their densities decrease, since density is mass per unit volume.
Density of ice is 0.92 g/cm3. Density of sea water is 1.03 g/cm3. 
Hence ice is less dense than water and so it floats.
Objects such as pebbles or ball bearings sink in water because they have a higher density/are denser than water. 
Floating and sinking 
Some objects float and some others sink. 
A piece of cork or wood will float on water because it has a lower density/is less dense than water.
olive oil 0.92 g/cm3 
water 1.0 g/cm3 
glycerine 1.3 g/cm3 
cork 0.24 g/cm3 
wood 0.65 g/cm3 
aluminium 
2.5 g/cm3
What will happen to a solid when immersed in a liquid of the same density? 
The solid will be freely suspended in the liquid.
Visit the following websites to learn about 
1. How a submarine can either float or sink depending on changes in its density 
http://science.howstuffworks.com/submarine1.htm 
2. How a hot air balloon works – has to do with density again 
http://science.howstuffworks.com/hot-air-balloon.htm

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Lecture 5 1_mass_and_density

  • 1. Mass and Density Have Fun !!!
  • 2. Mass - the amount of matter in a substance -depends on the number and size of particles making up that substance -the same wherever it is measured Mass What is mass?
  • 3. What is the SI unit of mass? SI unit for mass – the kilogram (kg) Large masses (e.g. a car) - measured in tonnes 1 tonne = 1 000 kg Small masses (e.g. a watch) – measured in grams (g) 1 gram (g) = 0.001 kg
  • 4. A beam balance - gives very accurate measurements An electronic balance - easier to use - gives more accurate measurements - gives digital readings Instruments for Measuring Mass
  • 5. Weight - the gravitational force acting on a body The weight of a body is greater on Earth than on the moon. Why? The earth exerts a greater gravitational force on it than the moon. Weight What is weight?
  • 6. Measuring weight A compression spring balance An extension spring balance
  • 7. What is the SI unit of weight? SI unit for weight - the newton (N) A body of mass 1 kg has a weight of about 10 N. Hence an apple of mass 100 g will have a weight of about 1 N
  • 8. In science, such statements are not accurate Why? There is no mention of the volume of the materials being compared. We sometimes hear people saying that expanded polystyrene is lighter than wood or that water is heavier than oil or that aluminium is lighter than iron.
  • 9. We can correctly say iron is heavier than aluminium, expanded polystyrene is lighter than wood or that water is heavier than oil only when comparing equal volume of them.
  • 10. Iron has a greater mass than an equal volume of aluminium and so we say ‘Iron is denser than aluminium.’ Expanded polystyrene has a smaller mass than an equal volume of wood and so we say ‘Expanded polystyrene is less dense than wood.’ In scIence, the term ‘density’ Is used.
  • 11. Density 1 cm3 of aluminium has a mass of 2.7 g, so we say the density of aluminium is 2.7 g/cm3. 1 m3 of air has a mass of 1.29 kg, so we say the density of air is 1.29 kg/m3.
  • 12. Definition of Density: The density of a substance is its mass per unit volume. Mass Volume Density = SI unit for density is the kilogram per cubic metre (kg/m3). Another common unit for density is the gram per cubic centimetre (g/cm3). Formula:
  • 13. Mass Volume Density = Finding the density of a substance Step 1: Measure the mass and the volume of the substance Step 2: Divide the mass of the substance by its volume.
  • 14. Finding the density of a liquid Step 1: Measure the mass and the volume of the substance Mass Volume Density = Step 2:
  • 15. Finding the density of a regularly shaped object Step 1: Measure the mass and calculate from dimensions, the volume of the object l h b l l l r r h Mass Volume Density = Step 2:
  • 16. Finding the density of an irregularly shaped object
  • 17. Finding the density of an irregularly shaped object
  • 18. Finding the density of an irregularly shaped object Mass Volume Density =
  • 19. Substance Density in g/cm3 Platinum 21.5 Gold 19.3 Lead 11.3 Silver 10.5 Copper 8.9 Iron 7.9 Zinc 7.1 Aluminium 2.7 Glass 2.5 Ice 0.92 Pinewood 0.50 Cork 0.24
  • 20. Substance Density in g/cm3 Mercury 13.6 Glycerine 1.26 Sea water 1.03 Pure water 1.00 (at 4OC) Olive oil 0.92 Turpentine 0.87 Petrol 0.80 Alcohol 0.79 Air 0.001 29 Hydrogen 0.000 09
  • 21. Substances, e.g. a piece of metal or a volume of gas become less dense when they are hotter. Why is this so? They expand when they become hotter. With a bigger volume, their densities decrease, since density is mass per unit volume.
  • 22. Density of ice is 0.92 g/cm3. Density of sea water is 1.03 g/cm3. Hence ice is less dense than water and so it floats.
  • 23. Objects such as pebbles or ball bearings sink in water because they have a higher density/are denser than water. Floating and sinking Some objects float and some others sink. A piece of cork or wood will float on water because it has a lower density/is less dense than water.
  • 24. olive oil 0.92 g/cm3 water 1.0 g/cm3 glycerine 1.3 g/cm3 cork 0.24 g/cm3 wood 0.65 g/cm3 aluminium 2.5 g/cm3
  • 25. What will happen to a solid when immersed in a liquid of the same density? The solid will be freely suspended in the liquid.
  • 26. Visit the following websites to learn about 1. How a submarine can either float or sink depending on changes in its density http://science.howstuffworks.com/submarine1.htm 2. How a hot air balloon works – has to do with density again http://science.howstuffworks.com/hot-air-balloon.htm