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10.5 mL of an unknown solution are diluted to 80.0 mL. The concentration of the
new solution was determined to be 0.172 M. What was the molarity of the
unknown solution? (Report your answer to two places past the decimal point.
Moodle is looking for a number only, no units.)

Sagot :

CintiaSalazarid

Taking into account the definition of dilution, the molarity of the unknown solution is 0.133 M.

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

Initial concentration

In this case, you know:

  • Ci= ?
  • Vi= 10.5 mL
  • Cf= 0.172 M
  • Vf= 80 mL

Replacing in the definition of dilution:

Ci× 10.5 mL= 0.172 M× 80 mL

Solving:

Ci= (0.172 M× 80 mL)÷ 10.5 M

Ci= 0.133 M

In summary, the molarity of the unknown solution is 0.133 M.

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