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Mass, Density, and Volume- Word Problems
1. What volume in liters would be occupied by 0.22777kg of a material with a density of 0.00523kg/mL?
2. What is the density of a substance in mg/mL, if a sample with a volume of 1.91cm^3 has a mass of 0.00588kg?

Sagot :

CintiaSalazar

Taking into account the definition of density, you have:

  1. the volume will be 0.04355 L.
  2. the density of the substance is 3,078.534 mg/mL.

Definition of density

Density is defined as the property that matter has to compress into a given space. That is, density is a quantity that is defined as the amount of mass in a given volume of a substance.

The expression for calculating density is the ratio between the mass of a body and the volume it occupies:

density= mass÷ volume

Density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Volume in this case

In this case, you know that:

  • Density= 0.00523 kg/mL
  • Mass= 0.22777 kg

Replacing in the definition of density:

0.00523 kg/mL= 0.22777 kg÷ volume

Solving:

0.00523 kg/mL× volume= 0.22777 kg

volume= 0.22777 kg÷ 0.00523 kg/mL

volume= 43.55 mL= 0.04355 L (being 1000 mL= 1 L)

Finally, the volume will be 0.04355 L.

Density of a substance

In this case, you know that:

  • Mass= 0.00588 kg= 5880 mg(being 1 kg= 1,000,000 mg)
  • Volume= 1.91 cm³= 1.91 mL (being 1 cm³= 1 mL)

Replacing in the definition of density:

density= 5880 mg÷ 1.91 mL

Solving:

density= 3,078.534 mg/mL

Finally, the density of the substance is 3,078.534 mg/mL.

Summary

In summary, you have:

  1. the volume will be 0.04355 L.
  2. the density of the substance is 3,078.534 mg/mL.

Learn more about density:

brainly.com/question/952755

brainly.com/question/1462554

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