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What is the mass volume % of a solution made by dissolving 5 grams of solute in enough solvent to give you 30 grams of solution?(density of the solution = 2g/ml)

Sagot :

Answer:

  33.3%

Step-by-step explanation:

You want the mass volume % of a solution of 5 grams of solute in 30 grams of solution that has a density of 2 g/mL.

Volume

The volume of the solution is its mass divided by its density.

  V = m/ρ

  V = (30 g)/(2 g/mL) = 15 mL

Mass/Volume %

Then the ratio of mass of solute to volume of solution is ...

  (5 g)/(15 mL) = 1/3 g/mL

Expressed as a percentage, that is ...

  (1/3 g/mL) · 100% = 33.3% mass/volume

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Additional comment

It is usually easier to measure the volume of a liquid solution than to measure its mass. The quantity of interest in a solution is often the mass of the solute it contains, so a mass/volume ratio has a certain practicality.