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A student is determining the density of an unknown metal with a mass of 367.0 g. The student partially fills a graduated cylinder with water and measures the volume of the water by itself as 54.8 mL. The student then adds the metal to the water and measures the new volume as 87.3 mL. What is the density, in g/mL, of the metal?

Answer :

EDUARD22SLYGO

The density of the metal is 11.3 g/mL

The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it is expressed as:

Density = mass / volume

We'll begin by calculating the volume of the metal. This can be obtained as illustrated below:

Volume of water = 54.8 mL

Volume of water + metal = 87.3 mL.

Volume of metal =?

Volume of metal = (Volume of water + metal) – (Volume of water)

Volume of metal = 87.3 – 54.8

Volume of metal = 32.5 mL

Finally, we shall determine the density of the metal.

Mass of metal = 367.0 g

Volume of metal = 32.5 mL

Density of metal =?

Density = mass / volume

Density = 367 / 32.5

Density of metal = 11.3 g/mL

Therefore, the density of the metal is 11.3 g/mL

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