11. The mass of an empty density bottle is 30 g, it is
75 g when filled completely with water and 65
when filled completely with a liquid. Find :
(a) volume of density bottle,
(b) density of liquid, and
(c) relative density of liquid
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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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