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Answer :
The density of gold is calculated by dividing the mass by the volume. For a sample of gold with a mass of 38.6 grams and a volume of 2 cm³, the density is 19.3 g/cm³ which aligns with the known density of gold.
To determine the density of gold using the given mass and volume, we use the formula for density, which is the mass divided by the volume. In this particular case, we have a mass of 38.6 grams and a volume of 2 cm³. Using the formula:
Density = mass / volume
Therefore, the density of the gold in question is:
38.6 grams / 2 cm³ = 19.3 g/cm³.
It's important to note that this calculation confirms what we know about the density of gold, which is 19.3 g/cm³. This density value is consistent with the mass-to-volume ratio of gold given as a reference that for one cubic centimeter of gold, it has a mass of 19.3 grams, confirming that our calculation is correct and reaffirms our understanding of gold's properties.
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