A 10.0 mL 10.0 mL aliquot is removed from the described stock solution and diluted to a total volume of 100.0 mL. 100.0 mL. Calculate the molarity of the dilute solution.

Respuesta :

The given question is incomplete. The complete question is:

A 10.0 mL aliquot is removed from the described stock solution with molarity of 5M and diluted to a total volume of 100.0 mL. Calculate the molarity of the dilute solution.

Answer: 0.5 M

Explanation:

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1[/tex] = molarity of stock solution = 5 M

[tex]V_1[/tex] = volume of stock solution = 10.0 ml ml

[tex]M_2[/tex] = molarity of dilute solution = ?

[tex]V_2[/tex]= volume of  dilute solution = 100.0 ml

Putting in the values we get:  

[tex]5M\times 10.0=M_2\times 100.0[/tex]

[tex]M_2=0.5M[/tex]

Thus the molarity of the dilute solution is 0.5 M

The molarity of the dilute solution is 0.5 M.

The given parameters;

  • initial volume of the liquid, V₁ = 10 mL
  • volume of the diluted solution, V₂ = 100 mL
  • Concentration of the initial stock, C = 5 M

The molarity of the dilute solution is calculated as follows;

[tex]C_{stock} = D.F \times c_{dilute}[/tex]

where;

D.F is dilute factor

The dilute factor of the given solution is calculated as follows;

[tex]D.F = \frac{V_{dilute}}{V_{concentrate}} \\\\D.F = \frac{100}{10} \\\\D.F = 10[/tex]

[tex]C_{stock} = D.F \times c_{dilute}[/tex]

[tex]5 = D.F \times c_{dilute}\\\\c_{dilute} = \frac{5}{DF} \\\\c_{dilute} = \frac{5}{10} \\\\c_{dilute} = 0.5 \ M[/tex]

Thus, the molarity of the dilute solution is 0.5 M.

"Your question is incomplete, it seems to be missing the following information":

A 10.0 mL of a liquid is removed from the described stock solution with molarity of 5M and diluted to a total volume of 100.0 mL. Calculate the molarity of the dilute solution.

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