Question

A 35.6 g piece of metal when placed in a beaker caused the water level to increase from 15.4 mL to 42.5 mL? What is the density of the metal?

Answer 1

1.31 g/cm³

Step-by-step explanation:

You want the density of a 35.6 g piece of metal that raises the water level in a beaker from 15.4 mL to 42.5 mL.

Density

Density is the ratio of mass to volume. The volume of the metal is presumed to be equal to the change in volume when it is placed in the beaker. (We assume the metal was completely submerged.)

Then the desired ratio is ...

ρ = (35.6 g)/(42.4 -15.4 mL) ≈ 1.31 g/mL

The density is about 1.31 grams per cubic centimeter.

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Additional comment

We have rounded to 3 significant figures because the measured values are of that precision.

1 mL = 1 cm³.

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