Final answer:
To prepare a 250 mL 0.20 M sulfuric acid solution, you would need approximately 4.27 mL of 11.7 M H₂SO₄.
Step-by-step explanation:
How to Calculate the Volume of Concentrated Solution Needed for Dilution
To find the volume of 11.7 M H₂SO₄ needed to dilute to a 0.20 M solution in a 250 cm³ (which is equivalent to 250 mL) volumetric flask, we can use the dilution equation:
M₁V₁ = M₂V₂
Where:
- M₁ is the molarity of the concentrated solution,
- V₁ is the volume of the concentrated solution,
- M₂ is the molarity of the diluted solution, and
- V₂ is the volume of the diluted solution.
We are given:
- M₁ = 11.7 M
- M₂ = 0.20 M
- V₂ = 250 mL
To find V₁, we rearrange the equation as follows:
V₁ = (M₂V₂) / M₁
Then we plug in our values:
V₁ = (0.20 M * 250 mL) / 11.7 M
Now, we calculate:
V₁ = 250 mL * 0.20 / 11.7
V₁ ≈ 4.27 mL
Therefore, you would need approximately 4.27 mL of 11.7 M H₂SO₄ to prepare a 250 mL 0.20 M sulfuric acid solution.