Difference between revisions of "Density"
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− | | style="height:20px; width:200px; text-align:center;" |'''5000[[kg]] of [[Iron]] has a [[volume]] of 0.635m<sup> | + | | style="height:20px; width:200px; text-align:center;" |'''5000[[kg]] of [[Iron]] has a [[volume]] of 0.635m<sup>3</sup>. Calculate the density of [[Iron]].''' |
− | | style="height:20px; width:200px; text-align:center;" | | + | | style="height:20px; width:200px; text-align:center;" |'''A 50,000cm<sup>3</sup> container of [[water]] is full with a 50[[kg]] [[mass]] of [[water]]. Calculate the density of [[water]].''' |
− | | style="height:20px; width:200px; text-align:center;" | | + | | style="height:20px; width:200px; text-align:center;" |'''A 200,000cm<sup>3</sup> [[volume]] of [[air]] has a [[mass]] of 245[[g]]. Calculate the density of [[air]]. |
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| style="height:20px; width:200px; text-align:center;" | | | style="height:20px; width:200px; text-align:center;" | | ||
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:<math>\rho = 7874kg/m<sup>3</sup></math> | :<math>\rho = 7874kg/m<sup>3</sup></math> | ||
− | | style="height:20px; width:200px; text-align:center;" | | + | | style="height:20px; width:200px; text-align:center;" | |
− | | style="height:20px; width:200px; text-align:center;" | | + | [[Mass]] = 50[[kg]] |
+ | |||
+ | [[Volume (Space)|Volume]] = 50,000cm<sup>3</sup> = 0.05m<sup>3</sup> | ||
+ | |||
+ | :<math>\rho = \tfrac{m}{V}</math> | ||
+ | |||
+ | :<math>\rho = \tfrac{50}{0.05}</math> | ||
+ | |||
+ | :<math>\rho = 1000kg/m<sup>3</sup></math> | ||
+ | | style="height:20px; width:200px; text-align:center;" | | ||
+ | [[Mass]] = 245[[g]] = 0.245[[kg]] | ||
+ | |||
+ | [[Volume (Space)|Volume]] = 200,000cm<sup>3</sup> = 0.2m<sup>3</sup> | ||
+ | |||
+ | :<math>\rho = \tfrac{m}{V}</math> | ||
+ | |||
+ | :<math>\rho = \tfrac{0.245}{0.2}</math> | ||
+ | |||
+ | :<math>\rho = 1.225kg/m<sup>3</sup></math> | ||
|} | |} |
Revision as of 11:14, 1 November 2018
Contents
Key Stage 3
Meaning
Density is the amount of mass per unit volume of an object.
About Density
- An object with a large amount of mass in a small volume is said to have a high density.
- An object with a small amount of mass spread over a large volume is said to have a low density.
- The units of density are kg/m3.
Solids are the most dense state of matter because there are a large number of particles in a certain volume and gases are the least dense state of matter because there are a small number of particles in a the same volume. |
Density and Floating
- If an object is more dense than water it will sink.
- If an object is less dense than water it will rise through water and float on the surface.
Equation
- Density = Mass/volume
\[\rho = \tfrac{m}{V}\] Where:
Example Calculations
5000kg of Iron has a volume of 0.635m3. Calculate the density of Iron. | A 50,000cm3 container of water is full with a 50kg mass of water. Calculate the density of water. | A 200,000cm3 volume of air has a mass of 245g. Calculate the density of air. |
Volume = 0.635m3 \[\rho = \tfrac{m}{V}\] \[\rho = \tfrac{5000}{0.635}\] \[\rho = 7874kg/m<sup>3</sup>\] |
Volume = 50,000cm3 = 0.05m3 \[\rho = \tfrac{m}{V}\] \[\rho = \tfrac{50}{0.05}\] \[\rho = 1000kg/m<sup>3</sup>\] |
Volume = 200,000cm3 = 0.2m3 \[\rho = \tfrac{m}{V}\] \[\rho = \tfrac{0.245}{0.2}\] \[\rho = 1.225kg/m<sup>3</sup>\] |