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

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aristocles aristocles · Answer 1 · 2019-08-17T01:28:45+02:00

Answer:

[tex]\rho_{stone} = \frac{56 g}{25 mL} = 2.24 g/mL[/tex]

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 = [tex]\frac{mass}{volume}[/tex]

[tex]\rho = \frac{20 g}{20 mL} = 1 gm/mL[/tex]

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

[tex]\rho_{stone} = \frac{mass}{volume}[/tex]

[tex]\rho_{stone} = \frac{56 g}{25 mL} = 2.24 g/mL[/tex]