Gold will make up 34.5% of the mixture's mass.
figuring out the percentage?
Based on the information provided, the following information can be inferred:
Gold has a density of 19.3 g/cm3.
Sand has a density of 2.94 g/cm3.
Mixture density is 4.17 g/cm3.
we can determine the mass of gold by measuring the volume of a 1 cm3 sample. This formula will be used to determine the amount of gold:
4.17 = [(19.3x + 2.95(1 - x)]
4.17 = 19.3x + 2.95 − 2.95x
4.17 = 16.35x + 2.95
x = 0.0746cm³
The gold mass will be:
= 0.0746 × 19.3
= 1.44
Gold will make up the following mass percentage of the mixture:
= 1.44/4.17 × 100
= 34.5%
In conclusion, the amount of gold in the mixture, measured in mass, will be 34.5%.
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