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Sodium sulfate is slowly added to a solution containing 0.0500 M Ca 2 + ( aq ) and 0.0300 M Ag + ( aq ) . What will be the concentration of Ca 2 + ( aq ) when Ag 2 SO 4 ( s ) begins to precipitate? Solubility-product constants, K sp , can be found in the chempendix.

Answers

Answer 1

Answer:

Answer : The concentration of $[Ca^(2+)]$ ion is, 0.00371 M

Explanation :

First we have to calculate the concentration of $[SO_4^(2-)]$ ion.

The solubility equilibrium reaction of $AgSO_4$ will be:

$Ag_2SO_4\rightleftharpoons 2Ag^(+)+SO_4^(2-)$

The expression for solubility constant for this reaction will be,

$K_(sp)=[Ag^(+)]^2[SO_4^(2-)]$

$K_(sp)=1.20* 10^(-5)$

$1.20* 10^(-5)=(0.0300)^2* [SO_4^(2-)]$

$[SO_4^(2-)]=0.0133M$

Now we have to calculate the concentration of $[Ca^(2+)]$ ion.

The solubility equilibrium reaction of $AgSO_4$ will be:

$CaSO_4\rightleftharpoons Ca^(2+)+SO_4^(2-)$

The expression for solubility constant for this reaction will be,

$K_(sp)=[Ca^(2+)][SO_4^(2-)]$

$K_(sp)=4.93* 10^(-5)$

$4.93* 10^(-5)=[Ca^(2+)]* (0.0133)$

$[Ca^(2+)]=0.00371M$

Thus, the concentration of $[Ca^(2+)]$ ion is, 0.00371 M

Answer 2

Answer:

Final answer:

The concentration of Ca 2+ (aq) will remain constant at 0.0500 M when Ag2SO4 (s) starts to precipitate. This occurs because the precipitation reaction only involves Ag+ (aq), causing its concentration to decrease, while the Ca 2+ (aq) remains unaffected.

Explanation:

To find the concentration of Ca 2+ (aq) when Ag2SO4 (s) begins to precipitate, we start by understanding the concept of the solubility product (Ksp). The Ksp provided in the question (1.6 × 10-¹0) refers to the equilibrium constant for a chemical reaction in which a solid ionic compound dissolves to yield a solution of ions. The precipitation of Ag2SO4 (s) begins when the calculated reaction quotient becomes greater than the solubility product, Ksp. Using this concept, we find that precipitation of Ag2SO4 (s) occurs when the Ag+ (aq) concentration is halved to 1.5 x 10-12 M due to the doubling of the volume when sodium sulfate is added. However, the concentration of Ca 2+ (aq) will remain at 0.0500 M as the Ca 2+ (aq) does not participate in the precipitation reaction.

Learn more about Solubility Product here:

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Hi,

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