At a certain temperature (probably not 25 ºC), the solubility of silver sulfate, Ag₂SO₄, is 0.011 mol/L. Calculate its solubility product constant for this temperature. SIG. FIG. (required because number is small) Solubility product constants are very temperature sensitive. They are generally reported at 25 ºC. Not necessarily using this temperature allows me some flexibility.

Respuesta :

Answer:

[tex]5.3\times 10^{-6}[/tex] its solubility product constant for this temperature.

Explanation:

[tex]Ag_SO_4\rightleftharpoons 2Ag^++SO_4^{2-}[/tex]

The solubility of silver sulfate = [tex][Ag_2SO_4]=0.011 mol/L[/tex]

1 mole of silver sulfate gives 2 moles of silver ions and 1 mole of sulfate ions.

[tex][Ag^+]=2\times [Ag_2SO_4]=2\times 0.011 mol/L = 0.022 mol/L[/tex]

[tex][SO_4^{2-}]=1\times [Ag_2SO_4]=1\times 0.011 mol/L = 0.011 mol/L[/tex]

[tex]Ag_SO_4\rightleftharpoons 2Ag^++SO_4^{2-}[/tex]

The expression if solubility product is given as:

[tex]K_{sp}=[Ag^+]^2[SO_4^{2-}][/tex]

[tex]=(0.022 mol/L)^2\times (0.011 mol/L)=5.3\times 10^{-6}[/tex]

[tex]5.3\times 10^{-6}[/tex] its solubility product constant for this temperature.