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A piece of aluminum weighing 10.0 grams is placed into a graduated cylinder that has an initial volume (before immersion) of 35.0 mL. After immersion, the volume on the cylinder reads 38.7 mL. What is the density of the metal sample?

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CintiaSalazar

Answer:

The density of the metal sample is 2.70 [tex]\frac{grams}{mL}[/tex]

Explanation:

Density is a magnitude that allows you to measure the amount of mass in a given volume of a substance. Then, the expression for the calculation of density is the ratio between the mass of a body and the volume it occupies:

[tex]d=\frac{m}{V}[/tex]

Density, according to the International System of Units, is usually expressed in kilograms per cubic meter (kg / m3) or gram per cubic centimeter (g / cm3). Although it can also be expressed in any other unit of mass by volume.

So, for the calculation of density you know that:

  • mass of the sample= 10 grams
  • volume of the sample = volume on the cylinder after immersion - volume on the cylinder before immersion= 38.7 mL - 35.0 ml = 3.7 mL

Then:

[tex]d=\frac{10 grams}{3.7 mL}[/tex]

d=2.70 [tex]\frac{grams}{mL}[/tex]

The density of the metal sample is 2.70 [tex]\frac{grams}{mL}[/tex]

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