Answer :
The volume of water needed to make the solution is 473.76 mL
We'll begin by calculating the volume of the diluted solution.
- Molarity of stock solution (M₁) = 15.5 M
- Volume of stock solution needed (V₁) = 5.41 mL
- Molarity of diluted solution (M₂) = 0.175 M
- Volume of diluted solution (V₂) =?
M₁V₁ = M₂V₂
15.5 × 5.41 = 0.175 × V₂
83.855 = 0.175 × V₂
Divide both side by 0.175
V₂ = 83.855 / 0.175
V₂ = 479.17 mL
Finally, we shall determine the volume of water needed.
- Volume of stock solution needed (V₁) = 5.41 mL
- Volume of diluted solution (V₂) = 479.17 mL
- Volume of water =?
Volume of water = V₂ – V₁
Volume of water = 479.17 – 5.41
Volume of water = 473.76 mL
Therefore, the volume of the water needed is 473.76 mL
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