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) 1.03 ml
b) 15.4 ml
c) 1.2 ml
d) none, because the change in water was due to an expansion of the water volume.

Explanation:

Step1: Determine the formula for displaced volume

The volume of water displaced by the metal is equal to the final volume of water minus the initial volume of water. The formula is \(V = V_{final}-V_{initial}\).

Step2: Substitute the values into the formula

Given \(V_{initial} = 45.6\space ml\) and \(V_{final}=46.8\space ml\). Then \(V=46.8 - 45.6\).

Step3: Calculate the result

\(46.8-45.6 = 1.2\space ml\)

Answer:

C. \(1.2\space ml\)