Verified answer

Answer:

• volume of water = 24 cm³
• density of solid = 3.51 g/cm³

Step-by-step explanation:

We are provided with a solid and the mass of a given solid is 84.2 g, initially volume of water in a graduated cylinder is 36 ml and are asked to find the volume of water and solid in the graduated cylinder is 60 ml.

Using the given information we have —

• Mass of a given solid = 84.2 g
• Initial volume of water in a graduated cylinder = V1 = 36 ml
• Solid in the graduated cylinder = V2 = 60 ml
• Volume of water = ?

Let's call 'x' be the density of the solid.

Now,

• Volume of solid = Final reading - Initial reading

OR

• Volume of solid = Solid in the graduated cylinder - Initial volume of water in a graduated cylinder

OR

• Volume of solid = V2 - V1

[tex]\implies[/tex] 60 - 36 = 24 ml or 24 cm³.

• Note: To convert ml into cm³, multiply the volume value by 1.

Hence, the volume of the water is 24 cm³.

Now,

• Density = Mass/Volume

Substitute the values,

[tex]\implies[/tex] x = 84.2/24

On solving we get,

[tex]\implies[/tex] x = 3.51 g/cm³ (approx.)

Hence, the density of the solid is 3.51 g/cm³.

Step-by-step explanation:

Density = Mass / Volume

First, we need to find the volume of the solid:

Volume of water displaced = Final volume - Initial volume

Volume of water displaced = 60 ml - 36 ml

Volume of water displaced = 24 ml

Therefore, the volume of the solid is 24 ml.

Now we can calculate the density:

Density = 84.2 g / 24 ml

Density = 3.508 g/ml or 3.508 g/cm³

Therefore, the density of the solid is 3.508 g/ml or 3.508 g/cm³.

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