Question

A 100.0 ml graduated cylinder is half-filled with 8.0 g of diatomaceous earth, a material consisting mostly of silica and used as a filtering medium in swimming pools. How many millilitres of water are required to fill the cylinder to the 100.0 ml mark? The diatomaceous earth is insoluble in water and has a density of 2.2 g/cm3.

Answer 1

96.3636 mL

Step-by-step explanation:

Given;

Volume of the graduated cylinder = 100.0 mL

Mass of the diatomaceous earth in the cylinder = 8.0 g

Density of diatomaceous earth = 2.2 g/cm³

Therefore,

the volume of diatomaceous earth in the cylinder =
`\frac{\textup{Mass}}{\textup{Density}}`

or

the volume of diatomaceous earth in the cylinder =
`\frac{\textup{8}}{\textup{2.2}}`

or

the volume of diatomaceous earth in the cylinder = 3.6363 cm³

also,

1 cm³ = 1 mL

Thus,

the volume of diatomaceous earth in the cylinder = 3.6363 mL

Hence,

The Volume of water required to fill the cylinder upto 100 mL = 100 - 3.6363

= 96.3636 mL