Question

a metal sample was placed in a graduated cylinder of deionized water and the volume in the cylinder increased from 45.6 ml to 46.8 ml. how much water was displaced by the metal?

a) none, because the change in water was due to an expansion of the water volume.

b) 1.03 ml

c) 1.2 ml

d) 15.4 ml

Explanation:

Step1: Recall water displacement principle

The volume of water displaced by an object is equal to the change in the volume of water in the graduated cylinder. So we calculate the difference between the final volume and the initial volume.

Step2: Calculate the volume difference

The initial volume \( V_{initial} = 45.6\space mL \) and the final volume \( V_{final} = 46.8\space mL \). The displaced volume \( V_{displaced}=V_{final}-V_{initial} \).
\[
V_{displaced}=46.8 - 45.6 = 1.2\space mL
\]

Answer:

c) 1.2 mL