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If 10.0 mL of an aqueous glucose (C6H12O6) solution of 0.500 M concentration is diluted by the addition of 50.0 mL of water, what is the molarity of the glucose in the diluted solution?

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CintiaSalazaridn

Taking into account the definition of dilution, the molarity of the glucose in the diluted solution is 0.1 M.

Dilution

When it is desired to prepare a less concentrated solution from a more concentrated one, it is called dilution.

Dilution is the process of reducing the concentration of solute in solution, which is accomplished by simply adding more solvent to the solution at the same amount of solute.

In a dilution the amount of solute does not change, but as more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.

A dilution is mathematically expressed as:

Ci×Vi = Cf×Vf

where

  • Ci: initial concentration
  • Vi: initial volume
  • Cf: final concentration
  • Vf: final volume

Final concentration

In this case, you know:

  • Ci= 0.500 M
  • Vi= 10 mL
  • Cf= ?
  • Vf= 50 mL

Replacing in the definition of dilution:

0.500 M× 10 mL= Cf× 50 mL

Solving:

(0.500 M× 10 mL)÷ 50 mL= Cf

0.1 M= Cf

In summary, the molarity of the glucose in the diluted solution is 0.1 M.

Learn more about dilution:

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