Question

A graduated cylinder has a mass of 80 g when empty. when 20 ml of water is added, the graduated cylinder has a mass of 100 g. if a stone is added to the graduated cylinder, the water level rises to 45 ml and the total mass is now 156 g. what is the density of the stone

Answer 1

`\rho_(stone) = (56 g)/(25 mL) = 2.24 g/mL`

Step-by-step explanation:

Mass of the cylinder = 80 g

water added in the cylinder = 20 mL

mass of water + cylinder = 100 g

mass of water added = 100 g - 80 g = 20 g

density of water =
`(mass)/(volume)`

`\rho = (20 g)/(20 mL) = 1 gm/mL`

now when stone is put into the cylinder then the volume reached to 45 mL

so volume displaced by the stone = 45 mL - 20 mL

V = 25 mL

mass of stone = 156 g - 100 g = 56 g

now density of stone is

`\rho_(stone) = (mass)/(volume)`

`\rho_(stone) = (56 g)/(25 mL) = 2.24 g/mL`