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Answer:

Final molarity  = 6 M

Explanation:

Given data:

Initial volume = 0.50 L

Initial molarity = 12 M

Final volume = 1 L

Final molarity = ?

Solution:

Formula:

M₁V₁ = M₂V₂

M₁ = Initial molarity

V₁ = Initial volume

M₂ = Final molarity

V₂ = Final volume

Now we will put the values.

12 M × 0.50 L = M₂ ×  1 L

6 M.L = M₂ ×  1 L

M₂ = 6 M.L / 1L

M₂ = 6 M

CintiaSalazar

Taking into account the definition of dilution, the molarity of the new solution is 6 M.

What is 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

What is the molarity of the new solution

In this case, you know:

Ci= 12 M

Vi= 0.5 L

Cf= ?

Vf= 1 L

Replacing in the definition of dilution:

12 M× 0.5 L= Cf× 1 L

Solving:

(12 M× 0.5 L)÷ 1 L= Cf

6 M= Cf

In summary, the molarity of the new solution is 6 M.

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