density - kubesclass.weebly.com · volume, float? is it really weight? mass per volume there is...
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![Page 1: Density - kubesclass.weebly.com · volume, float? Is it really weight? Mass per Volume There is more mass per unit of volume in the bowling ball Mass 1 Bowling Ball = Mass of 18 Basketballs](https://reader033.vdocuments.net/reader033/viewer/2022060516/604933e102f933233c33a5ef/html5/thumbnails/1.jpg)
Density
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Derived Units Not all quantities can be measured with
base units.
25 mph 25 miles
hour
A derived unit is one that is derived by
a combination of units.
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Volume
The volume of a solid is a derived unit.
1 cm x 1 cm x 1 cm = 1 cm3
Length x Width x Height = Volume
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Volume
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Volume Volume of irregular shaped objects can
be measured using Archimedes
Principle and the water displacement
method
![Page 6: Density - kubesclass.weebly.com · volume, float? Is it really weight? Mass per Volume There is more mass per unit of volume in the bowling ball Mass 1 Bowling Ball = Mass of 18 Basketballs](https://reader033.vdocuments.net/reader033/viewer/2022060516/604933e102f933233c33a5ef/html5/thumbnails/6.jpg)
Water Displacement
200 mL
Add the object
Note the initial volume
Subtract the initial volume
from the final volume
260 mL – 200 mL = 60 mL
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Why does one object sink
while another, of similar
volume, float?
Is it really weight?
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Mass per Volume There is more mass per unit of
volume in the bowling ball
Mass 1 Bowling Ball = Mass of 18 Basketballs
![Page 9: Density - kubesclass.weebly.com · volume, float? Is it really weight? Mass per Volume There is more mass per unit of volume in the bowling ball Mass 1 Bowling Ball = Mass of 18 Basketballs](https://reader033.vdocuments.net/reader033/viewer/2022060516/604933e102f933233c33a5ef/html5/thumbnails/9.jpg)
Density Density refers to the amount of matter
(mass) there is in a given amount of
space (volume)
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Derived Units
Solids - g/cm3 Liquids – g/mL
Calculating Density
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Density Problem What is the density of gold, if one liter
has a mass of 19,280 g?
d = m/v
m = 19,280 g v = 1,000 mL
d = m/v = 19,280 g/1,000 mL
d = m/v = 19.3 g/mL
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When people used to pan for gold, they often found
pyrite, otherwise known as fool’s gold. The only way
they could be sure if they had found real gold was to
determine the density of the material.
Most substances have
a unique density.
Pyrite has a
density of
5.01 g/mL
Gold has a
density of
19.3 g/mL
Real Life Application
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Solving for Mass
Density = Volume
Mass
d = m
v
(v)(d) = m(v)
v
Mass= (Volume)(Density)
1
2
3 (v)(d) = m
m = (d)(v) 4
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Mass Problem What is the mass of 20 cm3 of gold
that has a density of 19.3 g/cm3?
m = dv
d = 19.3 g/cm3 v = 20 cm3
m = dv = (19.3 g/cm3)(20 cm3)
m = 386 g
![Page 15: Density - kubesclass.weebly.com · volume, float? Is it really weight? Mass per Volume There is more mass per unit of volume in the bowling ball Mass 1 Bowling Ball = Mass of 18 Basketballs](https://reader033.vdocuments.net/reader033/viewer/2022060516/604933e102f933233c33a5ef/html5/thumbnails/15.jpg)
Solving for Volume
Density = Volume
Mass
d = m
v
(v)(d)= m (v)
v
Volume = Mass / Density
1
2
3 (v)(d) = m
d
v = m
d
4
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Volume Problem Gold has a density of 19.3 g/cm3.
What is the volume of 60 g of gold?
m = 60 g d = 19.3 g/cm3
v = m/d
V = m/d = 60 g/19.3 g/cm3
V = 3.1 cm3
![Page 17: Density - kubesclass.weebly.com · volume, float? Is it really weight? Mass per Volume There is more mass per unit of volume in the bowling ball Mass 1 Bowling Ball = Mass of 18 Basketballs](https://reader033.vdocuments.net/reader033/viewer/2022060516/604933e102f933233c33a5ef/html5/thumbnails/17.jpg)
Density of Water 1 g of water is equal to 1 cm3 or 1 mL
1 cm
Density = Mass
Volume
Density = 1 g = 1 g/cm3
1 cm
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Sink or Float?
Objects with a
density less than
1 g/cm3 will float
Density of water is 1g/mL or 1 g/cm3
Objects with a
density greater than
1 g/cm3 will sink
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Coke vs. Diet Coke
39 g of
sugar 125 mg of
aspartame