Page 95 - Physics
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Density and relative density

                                                             Example 4.9
             Procedure
             1.   Measure the mass of an empty         In an experiment to determine the relative

                relative density bottle with its       density of liquid X, Form One physics
                stopper. Record the mass as m .        students obtained the following results
                                             0
             2.   Fill in the bottle with cooking oil,   after various measurements.
                replace the stopper and wipe out any   Mass of an empty relative
                excess liquid. Measure the mass.       density bottle = 15 g
                Record the mass as m .                 Mass of bottle + liquid X = 35 g
                                     1
             3.   Replace the cooking oil with water   Mass of bottle + water = 40 g
                and measure the mass. Record it as     Volume of bottle = 25 cm 3
                m .
                  2
                                                       Calculate,
             Questions                                 (a) The density of water in kg/m .
                                                                                      3
             (a) Calculate the relative density of
                                                                                         3
                cooking oil.                           (b) The density of liquid X in kg/m .
             (b)  What is the signifi cance of a narrow   (c)  The relative density of liquid X.
                hole in the relative density bottle?     Solution
                                                         (a)  Mass of water 40 g – 15 g = 25 g

                                                             Volume of water = 25 cm  3

           The relative density of cooking oil can       Density of water =    25 g  = 1 g/cm 3
           be obtained by:                                                  25 cm 3

            (i)   Finding the mass of cooking oil,       Density of water in kg/m  = 1 000 kg/m .
                                                                               3
                                                                                             3
                   ( m − m ).
                      1
                           0
                                                         (b)  Mass of liquid X = 35 g – 15 g
            (ii)   Finding the mass of an equal                                = 20 g
                                   (
                  volume of water,  m − m ) g. .             Volume of liquid X = 25 cm 3
                                           0
                                      2
            (iii)  Calculating the relative density          Density of liquid X =   20 g
                                                                                   25 cm 3
                                  m  m
                  of cooking oil,   1   0  .                                   = 0.8 g/cm 3
                                  m  m 0
                                   2
                                                                                 3
                                                                                            3
             (iv)  The narrow hole in the stopper        Density of liquid X in kg/m = 800 kg/m .
                   enables air to escape from the        (c)   Relative density of
                   bottle when it is  being fi lled with

                   a liquid.                                     liquid X =  800 kg/m 3  = 0.8.
                                                                        1 000 kg/m 3



                                                                                         89




     Physics Form 1 Final.indd   89                                                         16/10/2024   20:56
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