find the mass of gold contained in the crown

Question

find the mass of gold contained in the crown, if the crown made of an alloy of gold and silver has a volume 60 centimeter cubic and mass of 1.05kg, and the density of gold is 19.3g/centimeter cubic while that of silver is 10.5g/centimeter cubic

Answer 1

Hello Desmond,

The Density of the Alloy is 1.05kg/60cm³ = 17.5g/cm³

 

Now we use the Alliteration Method to determine the ratio of Gold and Silver in the alloy:

 

                                  GOLD                  SILVER

                                  19.3                      10.5

                                                17.5

           (17.5-10.5)=       7                          1.8 (=19.3-17.5)

So, if the crown weighed 8.8 gms. there would be 7 gms. of Gold.

Proportionally for a 1050 gms crown there is 835.23 gms. of Gold.

Wish you the best.

Pradip