DENSITY
Density is the ratio of mass to volume.
Density = Mass /Volume
Unit of density = Unit of mass /Unit of volume
                = kg / m3 or     g / cm3 .
Conversion of unit of density
From kg /          m
              to g / 3          cm 3   :
Divide by 1000
From g / cm3 to kg / m3 :
Multiply by 1000
..More about density
    The material which is more denser will
    sink and the material which is less denser
     will float.
Practice Questions:
1. A metal block of volume 48 cm3 and has
 mass of 96 g. What is its density? Convert
 your answer into kg/m3.
2 . A cereal manufacturer creates a new
  cereal with a density of 1.25 g/cm3.
  She then measures out 75 cm3 of milk
  with a mass of 85 grams.
Will the cereal float or sink in the milk ?
Justify your answer.
Measuring the density of an irregularly shaped solid
                                    M = 50g
           ●                     VOLUME OF STONE = final volume – initial
                                                      volume
                                                    = V2 – V1
                                                    = (40 – 30 ) cm³
                                                    = 10 cm³
V1 = 30 cm³      V2   = 40 cm³
           ●                     DENSITY = MASS / VOLUME
           ●                            = 50 /10
           ●                            = 5 g/ cm³
Initial volume   Final volume
Measuring the density of an irregularly shaped solid
1.   Mass of solid is found by placing it on top pan balance.
2.   The volume is found by pouring water into a measuring
      cylinder until it is about half filled.
3.   The volume of water is read on the scale and
     then solid is carefully lowered into the water and
     note the second reading.
4.The volume of a solid is found by subtracting the
   first reading from the second i.e ;
( final volume – initial volume )
 The density is found by dividing the mass of solid
5.
  by its volume.
Measuring the density of a liquid
 Measuring the density of liquid
1. A measuring cylinder is put on a top pan balance and
   its mass found (A).
2.   The liquid is poured into the measuring cylinder and its
      volume measured (V).
3. The mass of measuring cylinder and the liquid it
    contains is found (B).
4. The mass of the liquid is found by subtracting A from B.
5. The density of the liquid is calculated by dividing the
    mass of liquid by its volume.
Practice Questions
    1.   You find a ring with a mass of 107 g. You fill a
         graduated cylinder up with 10 cm3 of water and put the
         ring into the cylinder. The water rises up to 15 cm3
         mark. What is the density of ring? Convert your answer
         into kg/m3 .
2.   When full fat milk is poured into a container, the cream
     rises to the top.      (Justify your answer)
3) A block of material is 23 cm long, 15 cm wide &
10 cm high and has a mass of 4.5 kg. Find its
density.
           Materials       Density (kg/m3 )
               Steel             7900
4.           Aluminium           2700
              Copper             8940
               Cork               250
a)   Which is heavier, 1 m3 of steel or 1m3 of aluminium?
b)   Which is heavier, 1 kg of copper or 1 kg of cork?