5b: Density and pressure

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relationship between density, mass and volume

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1

relationship between density, mass and volume

density = mass / volume

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2

pressure (solids)

force per unit area

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3

relationship between pressure, force and area

pressure = force / area

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4

unit for pressure

pascals

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5

3 states of matter - most dense to least dense

  • solid

  • liquid

  • gas

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6

1 kg to g

1000

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7

1 m^3 to cm^3

1000000

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8

cm^3 to m^3

10^6

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9

fluid

liquid or gas

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10

what happens to an object when it's immersed in a fluid

the fluid exerts pressure evenly across the whole surface in all directions and squeezes the object so force is created against surfaces and act at right angles to it

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11

relationship for pressure difference

height x density x gravitational field strength

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12

formula for pressure in liquids

pressure difference

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13

does pressure in liquids change with depth

yes

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14

where is pressure highest in a liquid container

at the lowest point it has the highest intensity

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15

what happens to force in deep water

force increases as depth increases

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16

determining density - apparatus

  • regularly and irregularly shaped objects

  • suitable liquid

  • 30 cm ruler

  • vernier caliper

  • micrometer

  • digital balance

  • displacement can (eureka)

  • measuring cylinders

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17

determining density - regularly shaped objects (variables)

independent variable: type of shape/volume dependent variable: mass

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18

determining density - regularly shaped objects (method)

  • weight the object on a digital balance

  • measure its dimensions

  • repeat and take average before calculating density

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19

determining density - regularly shaped objects (volume of sphere)

4/3π r^3

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20

determining density - regularly shaped objects (volume of cube)

lwh

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21

determining density - regularly shaped objects (volume of cylinder)

π r^2 l

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22

determining density - irregularly shaped objects (variables)

independent variable: different irregular shapes/mass dependent variable: volume of displaced water

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23

determining density - irregularly shaped objects (method)

  • weight the object on a digital balance

  • place an empty measuring cylinder below the eureka can's spout

  • fill eureka can with water

  • lower object into eureka can

  • measure volume of displaced water in cylinder

  • repeat and take average

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24

determining density - irregularly shaped objects (analysis)

volume of water displaced = volume of object

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25

determining density - liquids (variables)

independent variable: volume of water addedd dependent variable: mass of cylinder

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26

determining density - liquids (method)

  • weigh an empty measuring cylinder on a balance

  • fill the cylinder with the liquid and note the volume and new reading on the digital balance

  • repeat and take average

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27

determining density - liquids (analysis)

mass of liquid = mass of cylinder with water – mass of cylinder

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28

determining density - systematic errors

ensure balance is set to 0

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29

determining density - random errors

  • take repeated readings

  • place irregular object in displacement can carefully

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30

determining density - safety

  • glassware

  • electric shock if water is poured into measuring cylinder while on balance

  • react to spills

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