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

Answer:

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

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 = $60 cm^3$

$60 cm^3=v+V$

$60 cm^3=\frac{m}{19.3 g/cm^3}+\frac{M}{10.5 g/cm^3}$..(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 = $\frac{960.61 g}{19.3 g/cm^3}=49.77 cm^3$

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 $49.77 cm^3$.