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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

User Bob Kimani
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Answer:


\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

User Angel F Syrus
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