Answer:
The metal with a volume of [tex]1.38 cm^3 [/tex] is zinc.
Explanation:
Density is defined as mass of the substance present in the unit volume of the substance.
[tex]Density=\frac{mass}{Volume}[/tex]
For aluminum:
Mass of aluminium metal , M = 4.60 g
Volume of the aluminium metal = V
Density of the aluminium metal = d = [tex]2.70 g/cm^3[/tex]
[tex]V=\frac{M}{d}=\frac{4.60 g}{2.70 g/cm^3}=1.70 cm^3[/tex]
For Zinc :
Mass of zinc metal , M = 9.81 g
Volume of the zinc metal = V
Density of the zinc metal = d = [tex]7.13 g/cm^3[/tex]
[tex]V=\frac{M}{d}=\frac{9.81 g}{7.13 g/cm^3}=1.38 cm^3[/tex]
For chromium :
Mass of chromium metal , M= 6.24 g
Volume of the chromium metal = V
Density of the chromium metal = d = [tex]7.18 g/cm^3[/tex]
[tex]V=\frac{M}{d}=\frac{6.24 g}{7.18 g/cm^3}=0.87 cm^3[/tex]
For nickel :
Mass of nickel metal , M= 3.17 g
Volume of the nickel metal = V
Density of the nickel metal = d = [tex]8.90 g/cm^3[/tex]
[tex]V=\frac{M}{d}=\frac{3.17 g}{8.90 g/cm^3}=0.36 cm^3[/tex]
The metal with a volume of [tex]1.38 cm^3 [/tex] is zinc.
