understanding density © copyright 2014 – all rights reserved –

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UNDERSTANDING DENSITY © Copyright 2014 – All rights reserved – www.cpalms.org

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UNDERSTANDING DENSITY

© Copyright 2014 – All rights reserved – www.cpalms.org

WHAT IS MATTER?• Before we learn what density is, we need to review what

matter is.

• Basically, everything in the universe can be divided into two broad categories – Matter or Energy.

• Matter is anything that has mass and takes up space.

• Energy has no mass and does not take up any space.

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WHAT IS MATTER?• For example, water is matter because it has mass and takes

up space.

• We can measure the mass by using a balance, and we can measure its volume by using a graduated cylinder.

• On the other hand, light is Energy. It has no mass and does not take up any space.

• Can you measure light on a balance? Does light take up space?

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WHAT IS MATTER?• What about air? Is air Matter or Energy?

• Well, even though we can’t see air, we can still apply our test.

• Does air take up space?

• Yes, a balloon proves that air takes up space.

• Does air have a mass?

• Yes, if we had a sensitive enough balance, we would find that a balloon filled with air has a greater mass than an empty balloon.

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PROPERTIES OF MATTER• Matter has both physical properties and chemical

properties.

• Physical Properties – Are properties that can be observed or measured without changing the chemical makeup of matter.

• For example: size, color, smell, melting point and boiling point are all physical properties. Observing or measuring them does not change the matter from one substance to another.

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WHAT IS DENSITY?• Density is another important physical property of matter.

• Density is a comparison of how much matter there is in a certain amount of space.

• It is a relationship between mass and volume.

• It can be expressed by the formula:

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density =mass

volume─────

WHAT IS DENSITY?• For example, which one of the squares below is

more dense?

Square A Square B

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WHAT IS DENSITY?• Hopefully, you see that square B is more dense.

Square A Square B

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WHAT IS DENSITY?

• Remember the equation?

The volumes are equal (squares are the same size)

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density =mass

volume─────

WHAT IS DENSITY?

• Remember the equation?

The masses are different (Square B has more particles)

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density =mass

volume─────

WHAT IS DENSITY?• How about this? Now which square is more dense?

Square A Square B

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WHAT IS DENSITY?• Hopefully, you see that Square B is more dense. It

has the same amount of matter (mass) in a smaller space.

Square A Square B

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CALCULATING DENSITY?• As stated above, density can be calculated by using

the formula:

density = mass/volume

• The standard units used in density are:

• Mass is measured in grams (g)

• Volume is measured in cubic centimeters (cm3)

• Therefore, density is expressed in g/cm3.

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EXAMPLES• Jack has a rock. The rock has a mass of 6g and a

volume of 3cm3. What is the density of the rock?

d = 6g/3cm3 = 2g/cm3

• Jill has a gel pen. The gel pen has a mass of 8g and a volume of 2cm3. What is the density of the pen?

d = 8g/2cm3 = 4g/cm3

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WHY DO WE CARE?• Since the measurement is standard, we can use it to

identify an unknown substance.

• Example – You buy what you think is a gold chain. How can you be sure?

• Compute the density. If it matches the known density for gold then it is real gold. If not, it is probably fake.

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WHY DO WE CARE?• We can also use it to predict how substances will

interact. For instance, whether an object will sink or float.

• The density of water is 1.0 (It is the standard to which all other densities are compared)

• If the density of an object is greater than 1.0, the object will sink in water.

• If the density of an object is less than 1.0, then the object will float in water.

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UNDERSTANDING DENSITY

• Any Questions?

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