Question

What is the density (g/ml) of an object that has a mass of 14.01 grams and when placed into a graduated cylinder, causes the water level to rise from 25.2 ml to 33.6 ml?

Answer 1

Answer:

Density of the object = 1.67 g/ml (≅1.7 g/ml)

Explanation:

Given:

Mass of the object, M = 14.01 g

Initial volume of water in the cylinder, V1 = 25.2 ml

Volume of water after the object is placed in the cylinder, V2 = 33.6 ml

To determine

The density D of the object

Explanation:

Density (D) of a substance is the mass (M) occupied by the substance in a given volume (V) i.e.

$D = \frac{M}{V}$

In this case:

M = 14.01 g

The volume V of the substance = V2-V1 = 33.6-25.2 = 8.4 ml

$D = \frac{14.01 g}{8.4 ml} = 1.67 g/ml$

Answer 2

The displaced volume is the volume of the object (always, does not matter if it sinks or floats, the Eureka from Archimedes!)

Therefore: density = mass/volume = 14.01/(33.6-25.2)=14.01/8.4=1.6678 g/ml ~ 1.67 g/ml