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A 10 M concentrated stock solution of NaCl is used to prepare 3 liters of diluted 1 M solution. Which of the following is true for the process used to achieve the required dilution?

The volume of stock solution used is less than 0.2 liters.
The volume of stock solution used is less than 3 liters.
The volume of the solvent used is less than 0.2 liters.
The volume of the solvent used is more than 3 liters.

Respuesta :

CintiaSalazar

Taking into account the definition of dilution, the answer is "The volume of stock solution used is less than 3 Liters."

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

Volume of stock solution used

In this case, you know:

  • Ci= 10 M
  • Vi= ?
  • Cf= 1 M
  • Vf= 3 L

Replacing in the definition of dilution:

10 M× Vi= 1 M× 3 L

Solving:

Vi= (1 M× 3 L)÷ 10 M

Vi= 0.3 L

In summary, to prepare 3 Liters of 1 M solution, you need 0.3 L of the 10 M concentration stock solution and dilute to 3 L. Therefore, the answer is "The volume of stock solution used is less than 3 Liters."

Learn more about dilution:

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