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Answer :
Final answer:
The density of the soil is determined through two steps: calculating the mass and volume of the soil, then dividing mass by volume. By using the given weights and the density of water, we can find that the density of the soil in this scenario is 0.792 g/cm³.
Explanation:
The calculation for the density of the soil from this information is a two-step process. First, we determine the mass of the soil and second, the volume it possesses.
The mass of the soil is simply the mass of the bottle when partly filled with soil (63.1 g) minus the mass of the empty bottle (23.5 g), which equals 39.6 g.
We then need to calculate the volume of the soil. We do this by finding the volume of the water, which equals the mass of the bottle when filled with water (73.5 g) minus the mass of the empty bottle (23.5 g), giving us 50 g. Because the density of water is 1 g/cm³, the mass in grams is also the volume in cm³. So, the volume of water is 50 cm³.
Because the bottle is initially filled with soil and then water to the brim, the volume of the soil and water together equals the volume of the water alone, so the volume of the soil is also 50 cm³. Then we use the formula for density, which is mass divided by volume. Hence the soil's density is calculated to be 39.6 g / 50 cm³ = 0.792 g/cm³.
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