Respuesta :

Answer:

[tex]V=0.48L[/tex]

Explanation:

Hello,

In this case, the rest of statement is missing, therefore, it was found to be:

We add 100 ml of 0.01 M Na₂SO₄-solution to 100 ml of 0.02 M CaCl₂-solution. A precipitate of CaSO₄ is formed. What is the (minimal) volume of 0.01 M Na₂SO₄-solution that needs to be added to the mix for the CaSO₄ precipitate to be just dissolved completely? Consider CaSO₄ solubility constant to be 2.5x10⁻⁵

In this case, Ca⁺², SO₄⁻² and H₂O are out interest substance, thus, if we introduce [tex]V[/tex] as the additional volume of Na₂SO₄-solution, we've got:

[tex]V_T= V+0.2L[/tex]

[tex]n_{SO_4^{-2}}=(V+0.1 L)(0.01 \frac{mol}{L})[/tex]

[tex]n_{Ca^{+2}}=(0.1 L)(0.02\frac{mol}{L} )[/tex]

Hence, we have:

[tex]Ksp=[Ca^{+2}][SO_4^{-2}]=\frac{n_{Ca^{+2}}*n_{SO_4^{-2}}}{V_T} =2.5x10^{-5}[/tex]

Replacing the previous values:

[tex]2.5x10^{-5}=\frac{(0.1L)(0.02\frac{mol}{L} )}{V+0.2L} \frac{(V+0.1L)(0.01\frac{mol}{L} )}{V+0.2L}[/tex]

Solving for [tex]V[/tex], we obtain:

[tex]V=0.48L[/tex]

Best regards.

The volume needed for Sodium sulfate solution is 0.48 Litres. When sodium sulfate reacts with copper chloride, copper sulfate is formed.

Reaction between sodium sulfate and copper chloride:

When sodium sulfate reacts with copper chloride, copper sulfate is formed. This reaction is known as double decomposition reaction and a precipitate of Copper sulfate makes it precipitaion reaction too.

When we add 100 ml of 0.01 M Na₂SO₄-solution to 100 ml of 0.02 M CaCl₂-solution.

A precipitate of CaSO₄ is formed.

Consider CaSO₄ solubility constant to be 2.5x10⁻⁵

In this case, Ca⁺², SO₄⁻² and H₂O are the following cations and species involved, Thus, if we introduce  as the additional volume of Na₂SO₄-solution, we've got:

Total Volume = V+0.2 L

n for Sulfate ion = V+0.1 L*0.01 mol/L

n for Calcium ion = 0.1L*0.02 mol/L

The solubility product will be: [tex]2.5*10^{-5}\\\\[/tex]

On solving:

We will get, V=0.48 L

Find more information about Solubility product here:

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