Question

LaKeisha is measuring the density of a solid piece of metal using the graduated cylinder method. She initially measures a volume of water in the cylinder to be 3.28 mL. After placing the metal into the graduated cylinder, the new volume was 8.72 mL. The mass of the metal was 42.26 g on a top loading balance.

Required:
What is the density of the metal calculated to the correct number of significant figures?

Answer 1

Answer: 7.77 g/ml

Step-by-step explanation:

Volume of cylinder with only water = 3.28 mL

Volume of cylinder with water and metal = 8.72 mL

Volume of metal = (Volume of cylinder with water and metal ) -(Volume of cylinder with only water)

=8.72-3.28

=5.44 ml

Mass of metal = 42.26 g

Formula of Density =
`\frac{\text{Mass}}{\text{Volume}}`

i.e. the density of the metal =
`(42.26)/(5.44)\approx7.77\text{ g/ml}`

Hence, the density of metal = 7.77 g/ml