Answer:
The density of the metal is 21.675 g/mL.
The volume of metal with mass of 64.9 grams is 2.994 mL.
Explanation:
Density is defined as mass present in unit volume of the substance.
[tex]Density=\frac{Mass}{Volume}[/tex]
Mass of unknown metal = m = 427.0 g
Volume of the unknown metal = v = 19.7 mL
Density of the unknown metal = d
[tex]d=\frac{m}{v}=\frac{427.0 g}{19.7 mL}=21.675 g/mL[/tex]
Mass of the same unknown metal = M = 64.9 g
Volume of same unknown metal with mass M = V
Density of the metal = d = 21.675 g/mL
[tex]21.675 g/ mL=\frac{64.9 g}{V}[/tex]
V = 2.994 mL
