How would you use Le Chatelier's principle to predict whether the solubility of #BaF_2# will increase, decrease, or remain the same on addition of each of the following substances?

#HCl#
#KF#
#NaNO_3#
#Ba(NO_3)_2#

Answer 1

We examine the solubility equilibrium:

#BaF_2(s) rightleftharpoons Ba^(2+) + 2F^-#

Addition of #HCl# would protonate #F^-#, and drive equilibrium to the right, i.e. bring more of the fluoride into solution.
Addition of soluble #KF# increases #F^-#, and equilibrium is driven to the left.

Adding sodium nitrate ought to have no impact.

And, clearly, addition of soluble barium nitrate should drive equilibrium to the left (by increasing #[Ba^(2+)]#), and barium fluoride should precipitate.
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Answer 2

Adding a substance to a solution can affect the solubility of BaF₂ by shifting the equilibrium according to Le Chatelier's principle.

  1. Addition of a common ion: If a soluble salt containing the Ba²⁺ ion or the F⁻ ion is added, the solubility of BaF₂ will decrease due to the common ion effect.
  2. Addition of a complexing agent: If a complexing agent forms a complex with either the Ba²⁺ ion or the F⁻ ion, it will decrease the concentration of these ions in solution, thus increasing the solubility of BaF₂.
  3. Addition of an acid: If an acid is added, it will shift the equilibrium to the left, decreasing the solubility of BaF₂.
  4. Addition of a base: If a base is added, it will shift the equilibrium to the right, increasing the solubility of BaF₂.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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