Question

The mass of a density bottle is 48 g when empty, 56 g when filled with water, and 78 g when filled with brine solution. Find the volume of the bottle and density of brine solution​

Answer 1

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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