Question

Help i need step by step awnser​

Answer 1

Gold

Silver

Mixture

Step-by-step explanation:

Density

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

`\displaystyle d=(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=(m1)/(V1)`

`\displaystyle d1=(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=(m2)/(V2)`

`\displaystyle d2=(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=(m3)/(V3)`

`\displaystyle d3=(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.