The values of the density, volume and masses are:
- mass of water that completely filled the bottle = 23.2 g
- volume of water that completely filled the bottle = 23.2 cm³
- volume of the density bottle = 23.2 cm³
- mass of sand = 24.4 g
- mass of water that filled the space above the sand = 14.8 g
- density of sand = 2.9 g/cm³
What is density?
Density is defined as the ratio of mass and volume of a substance.
The given data is as follows:
Mass of empty density bottle = 43.2 g
Mass of density bottle full of water = 66.4 g
Mass of density bottle with some sand = 67.5 g
Mass of density bottle with the sand
filled up with water = 82.3 g:
(a) mass of water that completely filled the bottle = 66.4 - 43.2
mass of water that completely filled the bottle = 23.2 g
(b) volume of water that completely filled the bottle = mass/density
density of water = 1 g/cm³
volume of water that completely filled the bottle = 23.3 g/1 g/cm³
volume of water that completely filled the bottle = 23.2 cm³
(c) volume of the density bottle = 23.2 cm³
(d) mass of sand = 67.5 g - 43.2 g = 24.4 g
(e) mass of water that filled the space above the sand = 82.3 - 67.5 = 14.8 g
(f) volume of sand = volume of bottle - volume of water
volume of water = 14.8 cm³
volume of sand = 23.2 cm³ - 14.8 cm³
volume of sand = 8.4 cm³
(g) density of sand = 24.4 g/8.4 cm³ = 2.9 g/cm³
Therefore, the density of sand is obtained by taking the ratio of the mass of the sand and the volume if the sand.
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