Question

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Answer 1

Answer:

Gold

Silver

Mixture

Explanation:

Density

The density of an object of mass m and volume V is given by:

$\displaystyle d=\frac{m}{V}$

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

$\displaystyle d1=\frac{m1}{V1}$

$\displaystyle d1=\frac{1,930}{100}$

$d1=19.3\ gr/cm^3$

This crown is made of gold

Calculating the second density: m2=1,930 gr, V2=184 cm3

$\displaystyle d2=\frac{m2}{V2}$

$\displaystyle d2=\frac{1,930}{184}$

$d2\approx 10.5\ gr/cm3$

This crown is made of silver

Calculating the last density: m3=1,930 gr, V3=150 cm3

$\displaystyle d3=\frac{m3}{V3}$

$\displaystyle d3=\frac{1,930}{150}$

$d3\approx 12.9 gr/cm^3$

Since the value of the density is between gold and silver, this crown is a mixture.