Density of Metal Calculation
A 6.80 g sample of metal shot is placed in a graduated cylinder holding 7.00 mL of water. After the shot is added, the water level rises to 9.30 mL.
What is the density of the metal?
- a.) 0.338 g/cm3
- b.) 2.96 g/cm3
- c.) 15.6 g/cm3
Density of an object is defined as the mass of the object per unit volume of the object i.e
Density = mass / volume
To obtain the density of the metal, we'll begin by calculating the the volume of the metal. This can be obtained as follow:
Volume of water = 7 mL
Volume of water + metal = 9.30 mL
Volume of metal = ?
Volume of metal = (Volume of water + metal) – (Volume of water)
Volume of metal = 9.3 – 7
Volume of metal = 2.3 mL
Finally, we shall determine the density of the metal.
Volume of metal = 2.3 mL
Mass of metal = 6.80 g
Density of metal = ?
Density = mass / volume
Density = 6.80 / 2.3
Density of metal = 2.96 g/mL
Therefore, the density of the metal is 2.96 g/mL.
Option B. 2.96 g/mL gives the correct answer to the question.