1. Understand Molarity

* Molarity (M) is a measure of concentration, representing moles of solute per liter of solution.

2. Set Up the Equation

We can use the following equation:

M₁V₁ = M₂V₂

where:

* M₁ = Molarity of the concentrated solution (6.0 M NaOH)

* V₁ = Volume of the concentrated solution (what we want to find)

* M₂ = Molarity of the diluted solution (0.10 M NaOH)

* V₂ = Volume of the diluted solution (1.0 L)

3. Solve for V₁

* Rearrange the equation to solve for V₁:

V₁ = (M₂V₂) / M₁

* Substitute the values:

V₁ = (0.10 M * 1.0 L) / 6.0 M

* Calculate:

V₁ = 0.017 L

4. Convert to Milliliters

* Since 1 liter (L) = 1000 milliliters (mL):

V₁ = 0.017 L * 1000 mL/L = 17 mL

Answer: You would need 17 milliliters of 6.0 M NaOH to prepare 1.0 liter of 0.10 M NaOH solution.