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zlopas
3 months ago
7

An experimenter places a piece of solid metal weighing 255g into a graduated cylinder which she then fills with mercury. After w

eighing the cylinder and its contents, she removes the solid and tops of the cylinder with mercury. The cylinder and its contents weigh 101g less than before. The density of Hg is 13.6g/cm^3 . What is the density of the solid metal
Chemistry
1 answer:
Alekssandra [3K]3 months ago
7 0

Answer: The solid metal has a density of 22.5176 g/cm

Explanation:

Based on the information provided;

mass of the solid metal is 255 g

the weight of the cylinder along with its contents decreased by 101 g

it is also stated that the density of mercury is 13.6 g/cm³

The volume occupied by the solid metal is equal to the volume of mercury that was missing during the initial measurement

let's denote the volume as Vcm³

The mass of mercury that was missing during the first measurement can be calculated as density multiplied by volume

= 13.6 g/cm³ × Vcm³ = 13.6V g

Given the cylinder and its contents lost 101 g in weight,

the difference in mass between the solid and the mercury must equal 101 g

therefore,

255 - 13.6V g = 101g

13.6V g = 255 g - 101 g

13.6V = 154

V = 154 / 13.6

V = 11.3245 cm³

The density of the solid metal can then be found by;

⇒ mass / volume

= 255 / 11.3245

= 22.5176 g/cm

Thus, the density of the solid metal equals 22.5176 g/cm

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