Open main menu

Changes

Density

8,741 bytes added, 14:37, 4 December 2019
no edit summary
===About Density===
: The [[SI Unit|unitsunit]] of [[density]] are is kg/m<sup>3</sup>.
: An [[object]] with a large amount of [[mass]] in a small [[Volume (Space)|volume]] is said to have a high [[density]].
: An [[object]] with a small amount of [[mass]] spread over a large [[Volume (Space)|volume]] is said to have a low [[density]].
===Equation===
: Density = Mass/volume
:<math>\rho = \frac{m}{V}</math> 
Where:
: ρ = The [[density]]of the [[object]].: m = The [[mass]]of the [[object]].: V = The [[Volume (Space)|volume]]taken up by the [[object]].
===Example Calculations===
{| class="wikitable"
|-
| style="height:20px; width:200px; text-align:center;" |'''5000[[kg]] 5000kg of [[Iron]] has a [[Volume (Space)|volume]] of 0.635m<sup>3</sup>. Calculate the density of [[Iron]].'''| style="height:20px; width:200px; text-align:center;" |'''A 50,000cm<sup>3</sup> container of [[water]] is full with a 50[[kg]] 50kg [[mass]] of [[water]]. Calculate the density of [[water]].'''| style="height:20px; width:200px; text-align:center;" |'''A 200,000cm<sup>3</sup> [[Volume (Space)|volume]] of [[air]] has a [[mass]] of 245[[g]]245g. Calculate the density of [[air]].
|-
| style="height:20px; width:200px; text-align:left;" |
[[Mass]] = 5000[[kg]]5000kg
[[Volume (Space)|Volume]] = 0.635m<sup>3</sup>
:<math>\rho = 7874kg/m^3</math>
| style="height:20px; width:200px; text-align:left;" |
[[Mass]] = 50[[kg]]50kg
[[Volume (Space)|Volume]] = 50,000cm<sup>3</sup> = 0.05m<sup>3</sup>
:<math>\rho = 1000kg/m^3</math>
| style="height:20px; width:200px; text-align:left;" |
[[Mass]] = 245[[g]] 245g = 0.245[[kg]]245kg
[[Volume (Space)|Volume]] = 200,000cm<sup>3</sup> = 0.2m<sup>3</sup>
===About Density===
: The [[SI Unit]] of [[density]] is kg/m<sup>3</sup>.
: [[Density]] is a [[scalar]] quantity as it has [[magnitude]] but does not have a direction.
: An [[object]] with a large amount of [[mass]] in a small [[Volume (Space)|volume]] is said to have a high [[density]].
: An [[object]] with a small amount of [[mass]] spread over a large [[Volume (Space)|volume]] is said to have a low [[density]].
===Finding the Density===
====Finding The Density of a Regular Object====
: A regular [[object]] is a [[solid]] in the shape of a [[cuboid]].#Measure the [[mass]] of the [[cuboid]] using an [[Electronic Balance]] or [[Measuring Scale]].#Measure the length, width and height of the [[cuboid]].
#Multiply the length, width and height to calculate the [[Volume (Space)|volume]].
#Divide the [[mass]] by the [[Volume (Space)|volume]] of the [[cuboid]] to calculate the [[density]].
====Finding The Density of an Irregular Object====
: An irregular [[object]] is a [[solid]] whose shape prevents the sides being measured by a [[ruler]].
#Measure the [[mass]] of the [[object]] using an [[Electronic Balance]] or [[Measuring Scale]].
#Fill a [[Measuring Cylinder|measuring cylinder]] with enough [[water]] to [[submerse]] the [[object]].
#Take a reading of the [[Volume (Space)|volume]] of [[water]] in the [[Measuring Cylinder]].
#Place the [[object]] in the [[Measuring Cylinder]] and ensure it is [[submerse]]dsubmersed.
#Take a reading of the [[Volume (Space)|volume]] of [[water]] + [[object]] in the [[Measuring Cylinder]].
#Subtract the [[Volume (Space)|volume]] of [[water]] from the [[Volume (Space)|volume]] of [[water]] + [[object]] to find the [[Volume (Space)|volume]] of the [[object]].
===Equation===
: Density = Mass/volume
:<math>\rho = \frac{m}{V}</math> 
Where:
: ρ = The [[density]] of the [[object]].
{| class="wikitable"
|-
| style="height:20px; width:300px; text-align:center;" |5000[[kg]] 5000kg of [[Iron]] has a [[Volume (Space)|volume]] of 0.635m<sup>3</sup>. Calculate the density of [[Iron]] correct to two [[Significant Figures|significant figures]].'''| style="height:20px; width:300px; text-align:center;" |A 200,000cm<sup>3</sup> [[Volume (Space)|volume]] of [[air]] has a [[mass]] of 245[[g]]245g. Calculate the density of [[air]] correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s'''
[[Mass]] = 5000[[kg]]5000kg
[[Volume (Space)|Volume]] = 0.635m<sup>3</sup>
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s'''
[[Mass]] = 245[[g]] 245g = 0.245[[kg]]245kg
[[Volume (Space)|Volume]] = 200,000cm<sup>3</sup> = 0.2m<sup>3</sup>
|-
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
====Finding Mass from Volume and Density====
Petrol mass from volume 719.7 kg/m<sup>3</sup>
chlorine 993 mass in pool
 
{| class="wikitable"
| style="height:20px; width: 300px; text-align:center;" |A car is filled with 32 litres of gasoline, which has a [[density]] of 719.7kg/m<sup>3</sup>. Calculate the [[mass]] of gasoline added to the car, correct to two [[Significant Figures|significant figures]].
<math>m = 2482500kg</math>
<math>m = \approx 2500000kg</math>
|}
 
===References===
====AQA====
 
:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe09836 ''Density, page 194, GCSE Combined Science; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/0008158762/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158762&linkCode=as2&tag=nrjc-21&linkId=a0fffa35b3ea49a63404f6704e0df7cc ''Density, page 34, GCSE Chemistry; Student Book, Collins, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Density, page 67, GCSE Physics, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Density, pages 106-108, 170-172, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Density, pages 319, 323, GCSE Combined Science Trilogy 1, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac87 ''Density, pages 38, 58, 59, GCSE Physics; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Density, pages 76-77, 164-165, 169, 204-205, GCSE Physics; Third Edition, Oxford University Press, AQA '']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Density, pages 82, 84-7, 173, 207, 237, GCSE Physics; Student Book, Collins, AQA '']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Density, pages 96-98, GCSE Combined Science Trilogy; Physics, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Density; and floating, pages 137-8, GCSE Physics, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Density; investigating, page 290, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Density; investigating, page 98, GCSE Combined Science Trilogy; Physics, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Density; liquids, pages 68, 71, GCSE Physics, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Density; of a liquid, page 320, GCSE Combined Science Trilogy 1, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Density; of a regular solid, page 321, GCSE Combined Science Trilogy 1, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Density; of an irregularly shaped solid, pages 321-2, GCSE Combined Science Trilogy 1, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Density; of gases, page 71, GCSE Physics, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Density; of solids, pages 69-70, 71, GCSE Physics, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Density; of water (anomaous expansion), page 91, GCSE Physics; Student Book, Collins, AQA '']
 
====Edexcel====
 
:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Density, page 183, GCSE Physics, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120193/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120193&linkCode=as2&tag=nrjc-21&linkId=572df39392fb4200db8391d98ae6314e ''Density, page 415, GCSE Combined Science, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Density, pages 200, 201, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Density, pages 296-298, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Density, pages 93, 94, 101, 102, GCSE Physics; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Density; floating, pages 321, 322, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Density; fluid pressure, pages 318, 319, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Density; fluids, page 203, GCSE Physics, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Density; states of matter, page 300, GCSE Physics, CGP, Edexcel '']
 
====OCR====
:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Density, page 151, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']
:[https://www.amazon.co.uk/gp/product/1782945687/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945687&linkCode=as2&tag=nrjc-21&linkId=9a598e52189317a20311d7a632747bc9 ''Density, pages 13, 14, Gateway GCSE Physics; The Revision Guide, CGP, OCR '']
:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Density; Calculation, pages 24-25, Gateway GCSE Physics, Oxford, OCR '']
:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Density; Measurement, pages 250-251, Gateway GCSE Physics, Oxford, OCR '']
:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Density; Particle theory, pages 25, Gateway GCSE Physics, Oxford, OCR '']
2,903
edits