Question

find the volume of an item using a scale and waterA crown made of alloy of gold and silver has a volume of 60cm3and mass of 1050g.find mass of gold if density of gold is 19.3g/cm3 while of silver is 10.5g/cm3

Answer 1

The mass of gold in crown is 960.61 g.And the volume of gold is
`49.77 cm^3`.

Step-by-step explanation:

Density is defined as mass of the substance present in unit volume of the substance.

Mass of gold in an alloy of crown= m

Mass of silver in an alloy of crown = M

Volume gold in an alloy of crown= v

Volume of silver in an alloy of crown = V

Density of gold =
`19.3 g/cm^3`

Density of silver =
`10.5 g/cm^3`

Volume of the crown =
`60 cm^3`

`60 cm^3=v+V`

`60 cm^3=(m)/(19.3 g/cm^3)+(M)/(10.5 g/cm^3)`..(1)

Mass of eh crown = 1050 g

`1050g =m+M`..(2)

Solving equation (1) and (2):

m = 960.61 g

M = 89.39 g

Volume of the gold = v =
`(960.61 g)/(19.3 g/cm^3)=49.77 cm^3`

Volume of silver = V =
`60 cm^3-v=60 cm63-49.77 cm63=10.23 cm^3`

The mass of gold in crown is 960.61 g.And the volume of gold is
`49.77 cm^3`.