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The solubility of silver phosphate, Ag₃PO₄, at 25°C is [tex]1.55 \times 10^{-5}[/tex] mol/L. Determine the concentration of the [tex]\text{Ag}^+[/tex] ion in a saturated solution.

A. [tex]3.72 \times 10^{-15}[/tex] M
B. [tex]1.94 \times 10^5[/tex] M
C. [tex]4.65 \times 10^{-5}[/tex] M
D. [tex]1.55 \times 10^{-5}[/tex] M
E. [tex]5.17 \times 10^{-6}[/tex] M

Answer :

The concentration of Ag+ ions in a saturated solution of Ag3PO4 at 25 degrees Celsius is 4.65 x 10−5 M, which is calculated by multiplying the solubility of Ag3PO4 (1.55 x 10−5 mol/L) by 3. Therefore, the correct answer is c. 4.65 x 10−5 M.

The student has asked a question about the concentration of Ag+ ions in a saturated solution of silver phosphate (Ag3PO4) at 25 degrees Celsius.

The solubility of Ag3PO4 at 25 degree C is 1.55 x 10−5 mol/L. When Ag3PO4 dissolves, it dissociates into three Ag+ ions and one PO43− ion. Hence, for every mole of Ag3PO4 dissolved, 3 moles of Ag+ ions are produced. This means that the concentration of Ag+ ions is 3 times the molar solubility of Ag3PO4.

Thus, the concentration of Ag+ in a saturated solution can be calculated as:

Concentration of Ag+ = 3 x (1.55 x 10−5 mol/L)

Concentration of Ag+ = 4.65 x 10−5 M

Therefore, the correct answer is c. 4.65 x 10−5 M.

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