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If i add 25 mL of water to 125 mL of a 0.15 M NaOH solution, what will the molarity of the diluted solution be ?

Sagot :

0140tidn

Answer:

0.125 M

Explanation:

M₁V₁ = M₂V₂

125 mL / 1000 = 0.125 L = V₁

25 + 125 = 150 mL / 1000 = 0.150 L = V₂

0.15 M = M₁

M₁ × V₁ / V₂ = M₂

(0.15) × (0.125) / (0.150) = 0.125 M

0.125 M is the answer

CintiaSalazaridn

Taking into account the definition of dilution, the molarity of the diluted solution is 0.125 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 molarity

In this case, you know:

  • Ci= 0.15 M
  • Vi= 125 mL
  • Cf= ?
  • Vf= 125 mL + 25 mL= 150 mL

Replacing in the definition of dilution:

0.15 M× 125 mL= Cf× 150 mL

Solving:

(0.15 M× 125 mL)÷ 150 mL= Cf

0.125 M= Cf

In summary, the molarity of the diluted solution is 0.125 M.

Learn more about dilution:

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