Answer :
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
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.
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