What volume (mL) of a concentrated solution of sodium hydroxide (2.00 M) must be diluted to 600.0 mL to make a 0.860 M solution of sodium hydroxide? Express your answer to the nearest tenth mL.
dilution problems can be solved with this.
M x mL = M x mL.
To find the volume of the concentrated solution that needs to be diluted, we can use the equation for dilution:
C₁V₁ = C₂V₂
Where:
C₁ = Concentration of the concentrated solution
V₁ = Volume of the concentrated solution
C₂ = Target concentration
V₂ = Final volume
In this case, we know the following:
C₁ = 2.00 M (concentration of the concentrated solution)
C₂ = 0.860 M (target concentration)
V₂ = 600.0 mL (final volume)
We need to find V₁ (volume of the concentrated solution).
Rearranging the equation, we get:
V₁ = (C₂ * V₂) / C₁
Plugging in the values, we have:
V₁ = (0.860 M * 600.0 mL) / 2.00 M
Calculating this gives us:
V₁ = (516.0 mL) / 2.00
V₁ = 258.0 mL
Therefore, to make a 0.860 M solution of sodium hydroxide, you need to dilute 258.0 mL of the concentrated solution to a final volume of 600.0 mL.