Answer:
Gold
Silver
Mixture
Explanation:
Density
The density of an object of mass m and volume V is given by:
[tex]\displaystyle d=\frac{m}{V}[/tex]
We are given the following densities:
Gold: 19.3 gr/cm3
Silver: 10.5 gr/cm3
With the data provided in the table, we can confirm which of the three columns corresponds to gold, silver, or a mix of both.
Calculating the first density: m1=1,930 gr, V1=100 cm3
[tex]\displaystyle d1=\frac{m1}{V1}[/tex]
[tex]\displaystyle d1=\frac{1,930}{100}[/tex]
[tex]d1=19.3\ gr/cm^3[/tex]
This crown is made of gold
Calculating the second density: m2=1,930 gr, V2=184 cm3
[tex]\displaystyle d2=\frac{m2}{V2}[/tex]
[tex]\displaystyle d2=\frac{1,930}{184}[/tex]
[tex]d2\approx 10.5\ gr/cm3[/tex]
This crown is made of silver
Calculating the last density: m3=1,930 gr, V3=150 cm3
[tex]\displaystyle d3=\frac{m3}{V3}[/tex]
[tex]\displaystyle d3=\frac{1,930}{150}[/tex]
[tex]d3\approx 12.9 gr/cm^3[/tex]
Since the value of the density is between gold and silver, this crown is a mixture.
