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Enough water is added to 50.0 mL of a 0.660 M NaOH solution in order to bring the total volume to 450.0 mL. What is the molarity of this diluted solution?

Respuesta :

SvetkaChem

Answer:

0.073 M

Explanation:

M1*V1 = M2*V2

M1 = 0.660 M

V1 = 50.0 mL

V2 = 450.0 mL

0.660M * 50.0 mL = M2*450.0 mL

M2 = 0.660M*50.0/450.0 = 0.073 M

Lanuel

The final molarity of this diluted solution is equal to 0.073 M.

Given the following data:

  • Initial volume = 50.0 mL
  • Initial molarity = 0.660 M
  • Final volume = 450.0 mL

To determine the final molarity of this diluted solution:

Mathematically, the relationship between the molarity of a solution and volume is given by the formula:

[tex]MV = k\\\\M_1V_1 = M_2V_2[/tex]

Where:

  • M is the molarity of a solution.
  • V is the volume of a solution.

Making [tex]M_2[/tex] the subject of formula, we have:

[tex]M_2 = \frac{M_1V_1}{V_2}[/tex]

Substituting the given parameters into the formula, we have;

[tex]M_2 = \frac{0.660 \times 50.0}{450.0} \\\\M_2 = \frac{33}{450.0}[/tex]

Final molarity = 0.073 M

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