Mass of an empty density bottle is 50 g. When filled with water, it is 80 g. When filled
with oil, it is 75 g. Find (i) capacity of density bottle (ii) density of oil
(iii) Relative density of oil.
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Answer:
Mass of empty density bottle, M1 = 30 grams
MAss of bottle and water, M2 = 75 grams
Mass of liquid and liquid x, M3 = 65 grams
Mass of water = M2 – M1 = 45 grams
a) Volume of density bottle = Mass of water = 45 grams
b) Density of liquid x, D = mass of liquid/mass of water = 35/45
Mass of iquid = M3 – M1 = 65 – 30 = 35 grams
D = Mass of liquid/mass of water = 35/45 = 0.77 grams/cm3
c) Mass of water in the density bottle = 75 – 30 = 45 grams
Therefore, the volume of water in density bottle = 45 cc
Mass of the liquid whose volume is equal to the density bottle = 65 – 30 = 35 grams
Therefore, relative density of the liquid = mass of 45 cc of liquid/mass of 45 cc of water = 35/45 = 7/9 = 0.77
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