1. A piece of metal with a mass of 147 g is placed in a 50-ml graduated

cylinder. The water level rises from 20 mL to 41 mL. What is the density

of the metal?

7.0 g/mL.

Explanation:

Density is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and the volume it takes up.

d = m/V,

where, d is the density of the metal,

m is the mass of the metal (m = 147 g),

V is the volume that the metal takes up (V = 41.0 mL - 20.0 mL = 21.0 mL).

∴ d = m/V = (147 g) / (21.0 mL) = 7.0 g/mL.