Respuesta :
Answer:
105.5 mL
Explanation:
To solve this problem we can use the following equation:
- C₁V₁=C₂V₂
Where:
- C₁ = 0.504 M
- V₁ = ?
- C₂ = 0.244 M
- V₂ = 218 mL
We input the data:
- 0.504 M * V₁ = 0.244 M * 218 mL
And solve for V₁:
- V₁ = 105.5 mL
The volume of 0.504 M barium nitrate solution is needed to prepare the solution is 52.77 mL
We'll begin by calculating the molarity of the diluted barium nitrate solution. This can be obtained as follow:
Ba(NO₃)₂(aq) —> Ba²⁺(aq) + 2NO₃¯(aq)
From the balanced equation above,
2 mole of NO₃¯ is present in 1 mole of Ba(NO₃)₂
Therefore,
0.244 M NO₃¯ will be present in = 0.244 / 2 = 0.122 M Ba(NO₃)₂
Finally, we shall determine the volume of 0.504 M barium nitrate needed to prepare the solution
Molarity of stock solution (M₁) = 0.504 M
Volume of diluted solution (V₂) = 218 mL
Molarity of diluted solution (M₂) = 0.122 M
Volume of stock solution needed (V₁) =?
M₁V₁ = M₂V₂
0.504 × V₁ = 0.122 × 218
0.504 × V₁ = 26.596
Divide both side by 0.504
V₁ = 26.596 / 0.504
V₁ = 52.77 mL
Therefore, the volume of 0.504 M barium nitrate needed to prepare the solution is 52.77 mL
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