High School

What volume (mL) of a concentrated solution of sodium hydroxide (6.00 M) must be diluted to make a desired solution of sodium hydroxide?

A. 99.9
B. 0.104
C. 287
D. 0.0100
E. 3600

Answer :

The volume of this concentrated solution that needs to be diluted is X mL. The desired final molarity of the solution is 0.0100 M.

The parameters state that the concentration of a sodium hydroxide (NaOH) solution is 6.00 M, and the volume of this concentrated solution that needs to be diluted is X mL.

The desired final molarity of the solution is 0.0100 M.

Using the formula for molarity, which is M = moles of solute / volume of solution (in liters),

we can derive the equation M₁V₁ = M₂V₂. Here, M₁ represents the initial molarity and V₁ is the initial volume, while M₂ represents the final molarity and V₂ is the final volume.

Substituting the given values, we have M₁ = 6.00 M, M₂ = 0.0100 M, V₂ = 1.00 L, and we need to find V₁.

V₁ = (M₂ * V₂) / (M₁ * V₁)

V₁ = (0.0100 M * 1.00 L) / (6.00 M * V₁)

Simplifying the equation, we find V₁ = 0.00167 L or 1.67 mL.

In order to obtain a sodium hydroxide solution with a concentration of 0.0100 M,

The volume of the concentrated 6.00 M solution that needs to be diluted is 1.67 mL.

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