Question

If 4.00 g Pb (density = 11.34 g/mL) is placed in a graduated cylinder partially filled with water, how many milliliters of water will be displaced?

Answer 1

Mass of lead Pb = 4.00 g (given)

Density of lead= 11.34 g/mL (given)

When lead is placed in a graduated cylinder which is partially filled with water, the volume of lead will be the volume of water displaced by it.

Density (d) of a substance is the ratio of mass (m) to the volume (m) of the substance.

The formula of density is given as:

`d= (m)/(v)`

Putting the given values of density and mass of lead, we get

`11.34 g/mL= (4.00 g)/(v)`

Rearrange the equation, to find the volume

`V= (4.00 g)/(11.34 g/mL)`

`V= 0.3527 mL \simeq 0.353 mL`

Therefore, volume replaced by lead is 0.353 mL