Answer:
The mass of gold in crown is 960.61 g.And the volume of gold is [tex]49.77 cm^3[/tex].
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 = [tex]19.3 g/cm^3[/tex]
Density of silver = [tex]10.5 g/cm^3[/tex]
Volume of the crown = [tex]60 cm^3[/tex]
[tex]60 cm^3=v+V[/tex]
[tex]60 cm^3=\frac{m}{19.3 g/cm^3}+\frac{M}{10.5 g/cm^3}[/tex]..(1)
Mass of eh crown = 1050 g
[tex]1050g =m+M[/tex]..(2)
Solving equation (1) and (2):
m = 960.61 g
M = 89.39 g
Volume of the gold = v = [tex]\frac{960.61 g}{19.3 g/cm^3}=49.77 cm^3[/tex]
Volume of silver = V = [tex]60 cm^3-v=60 cm63-49.77 cm63=10.23 cm^3[/tex]
The mass of gold in crown is 960.61 g.And the volume of gold is [tex]49.77 cm^3[/tex].
