Respuesta :
Answer:
The molarity of the diluted HCl solution: M₂ = 0.045 M
Explanation:
To find- the molarity of the diluted HCl solution (M₂)
Given- For original HCl solution-
Molarity: M₁ = 1.5 M, Volume: V₁ = 60.0 ml = 0.06 L (∵ 1L = 1000 mL)
Then this original solution is diluted to a volume of 2 L
Thus for the diluted HCl solution-
The Volume of the diluted HCl solution: V₂ = 2 L
So the Molarity of the diluted HCl solution (M₂) can be calculated by the dilution equation:
[tex]M_{1}\times V_{1} = M_{2}\times V_{2}[/tex]
[tex]\Rightarrow M_{2} = \frac{M_{1}\times V_{1}}{V_{2}}[/tex]
[tex]\Rightarrow M_{2} = \frac{1.5 M\times 0.06 L}{2 L} = 0.045 M[/tex]
Therefore, the molarity of the diluted HCl solution: M₂ = 0.045 M
Taking into account the definition of dilution, a solution of 60.0 mL of 1.50 M HCl solution must be diluted with water to make 2.0 L of 0.045 M solution.
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 final concentration
In this case, you know:
- Ci= 1.50 M
- Vi= 60 mL
- Cf= ?
- Vf= 2 L= 2000 mL (being 1 L= 1000 mL)
Replacing in the definition of dilution:
1.50 M× 60 mL= Cf× 2000 mL
Solving:
Cf= (1.50 M× 60 mL)÷ 2000 mL
Cf= 0.045 M
In summary, a solution of 60.0 mL of 1.50 M HCl solution must be diluted with water to make 2.0 L of 0.045 M solution.
Learn more about dilution:
brainly.com/question/6692004
brainly.com/question/16343005
brainly.com/question/24709069
#SPJ5
