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Density

Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

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We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating in the air

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Page 1: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Density

Page 2: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Introduction

Page 3: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Introduction•We can see the difference in density of

different materials when we look at ...•wood floating on water

•helium balloons floating in the air

Page 4: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Introduction•We can see the difference in density of

different materials when we look at ...•iron sinking in water

•lava lamps

Page 5: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Introduction

Page 6: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Properties

Page 7: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Properties•Density is an intensive property of

matter.•The density of matter does not

depend on the amount of matter.•Density does depend on the

composition of the matter

Page 8: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Properties•Density is the mass of the matter

divided by the volume of the matter.

•The density of matter generally decreases as the temperature of the matter increases.

D =mV

Page 9: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Properties•The density of some materials is given

in this chart:MaterialMaterial D (g/mL)D (g/mL) MaterialMaterial D (g/L)D (g/L)

gold 19.3 carbon dioxide 1.83

mercury 13.6 argon 1.66lead 11.4 air 1.20

copper 8.86 helium 0.166corn oil 0.922 hydrogen 0.084water 1.000 methane 0.665

Page 10: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Properties

Page 11: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Doing the Math

Page 12: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Doing the Math•Density is the mass of the matter divided

by the volume of the matter.

•The volume of matter is the mass divided by the density.

•The mass of matter is the density times the volume.

D =mV

V =mD

m = D•V

Page 13: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Doing the Math

Page 14: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Examples

Page 15: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:

Page 16: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?

Page 17: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?V = l•w•h = (15 cm)(10. cm)(5.0 cm)

Page 18: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?V = l•w•h = (15 cm)(10. cm)(5.0 cm) = 750 cm3

Page 19: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?

D = m V

V = l•w•h = (15 cm)(10. cm)(5.0 cm) = 750 cm3

Page 20: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?

D = = m 340 gV 750 cm3

V = l•w•h = (15 cm)(10. cm)(5.0 cm) = 750 cm3

Page 21: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?

D = = = 0.453333333 g/cm3 m 340 gV 750 cm3

V = l•w•h = (15 cm)(10. cm)(5.0 cm) = 750 cm3

Page 22: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?

D = = = 0.453333333 g/cm3 = 0.45 g/cm3

m 340 gV 750 cm3

V = l•w•h = (15 cm)(10. cm)(5.0 cm) = 750 cm3

Page 23: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 1:A block of wood has a length of 15 cm, a width of 10. cm, and a height of 5.0 cm. The block also has a mass of 340 g. What is the density of the block?

D = = = 0.453333333 g/cm3 = 0.45 g/cm3

m 340 gV 750 cm3

V = l•w•h = (15 cm)(10. cm)(5.0 cm) = 750 cm3

Page 24: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Examples

Page 25: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 2:

Page 26: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 2:A block of lead has a mass of 37.4 g. Lead has a density of 11.4 g/cm3. What is the volume of the block?

Page 27: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Example 2:A block of lead has a mass of 37.4 g. Lead has a density of 11.4 g/cm3. What is the volume of the block?

Examples

D = m V

Page 28: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Example 2:A block of lead has a mass of 37.4 g. Lead has a density of 11.4 g/cm3. What is the volume of the block?

Examples

D = ➔ V = m m V D

Page 29: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Example 2:A block of lead has a mass of 37.4 g. Lead has a density of 11.4 g/cm3. What is the volume of the block?

Examples

D = ➔ V = = m m 37.4 gV D 11.4 g/cm3

Page 30: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Example 2:A block of lead has a mass of 37.4 g. Lead has a density of 11.4 g/cm3. What is the volume of the block?

Examples

D = ➔ V = = = 3.280701754 cm3

m m 37.4 gV D 11.4 g/cm3

Page 31: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Example 2:A block of lead has a mass of 37.4 g. Lead has a density of 11.4 g/cm3. What is the volume of the block?

Examples

D = ➔ V = = = 3.280701754 cm3

m m 37.4 gV D 11.4 g/cm3

V = 3.28 cm3

Page 32: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Example 2:A block of lead has a mass of 37.4 g. Lead has a density of 11.4 g/cm3. What is the volume of the block?

V = 3.28 cm3

Examples

D = ➔ V = = = 3.280701754 cm3

m m 37.4 gV D 11.4 g/cm3

Page 33: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

Examples

Page 34: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:

Page 35: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•l

Page 36: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l

Page 37: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.05000 cm)2(20.0 cm)

Page 38: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.05000 cm)2(20.0 cm) = 0.157 cm3

Page 39: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.05000 cm)2(20.0 cm) = 0.157 cm3

D = m V

Page 40: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.05000 cm)2(20.0 cm) = 0.157 cm3

D = ➔ m V

Page 41: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.05000 cm)2(20.0 cm) = 0.157 cm3

D = ➔ m = D•Vm V

Page 42: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.05000 cm)2(20.0 cm) = 0.157 cm3

D = ➔ m = D•V = (8.86 g/cm3)(0.157 cm3)

m V

Page 43: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.05000 cm)2(20.0 cm) = 0.157 cm3

D = ➔ m = D•V = (8.86 g/cm3)(0.157 cm3)

m V m = 1.39 g

Page 44: Density. Introduction We can see the difference in density of different materials when we look at... wood floating on water helium balloons floating

ExamplesExample 3:What is the mass of a 20.0 cm length of copper wire with a density of 8.86 g/cm3 and a radius of 0.0500 cm? The volume of a cylinder is V = π•r2•lV = π•r2•l = π(0.0500 cm)2(20.0 cm) = 0.157 cm3

D = ➔ m = D•V = (8.86 g/cm3)(0.157 cm3)

m V m = 1.39 g


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