Here's how to calculate the volume of concentrated sodium hydroxide solution needed:

Understanding the Concepts

* Molarity (M): Represents the concentration of a solution, expressed as moles of solute per liter of solution.

* Dilution: The process of reducing the concentration of a solution by adding more solvent.

* The Dilution Equation: M₁V₁ = M₂V₂

* M₁ = Molarity of the concentrated solution

* V₁ = Volume of the concentrated solution

* M₂ = Molarity of the diluted solution

* V₂ = Volume of the diluted solution

Calculations

1. Identify the known values:

* M₁ = 6.00 M (concentration of concentrated NaOH)

* M₂ = 0.880 M (desired concentration of diluted NaOH)

* V₂ = 200.0 mL (final volume of the diluted solution)

2. Plug the values into the dilution equation:

* (6.00 M) * V₁ = (0.880 M) * (200.0 mL)

3. Solve for V₁ (the volume of concentrated NaOH):

* V₁ = [(0.880 M) * (200.0 mL)] / (6.00 M)

* V₁ = 29.3 mL

Answer:

You need to dilute 29.3 mL of the 6.00 M sodium hydroxide solution to make 200.0 mL of a 0.880 M solution.