Consider a solution containing 0.181 M lead ions and 0.365
Miron(II) ions. The Ksp for lead sulfide is 3.4 x 10^ -28 and
thatfor iron(II) sulfide is 3.7 x 10^ -19. Calculate the
[H3O+]required to reduce the concentration of lead ions to 1.0 x
10^-6 Musing H2S.

Respuesta :

Answer:

[tex][H_3O^+]=6.8*10^{-22}[/tex]

Explanation:

For a solution with [tex][Pb^{+2}]=1*10^{-6}[/tex] :

[tex]Kps=[Pb^{+2}]*[S^{-2}]=3.4*10^{-28}[/tex]

[tex]1*10^{-6}*[S^{-2}]=3.4*10^{-28}[/tex]

[tex][S^{-2}]=3.4*10^{-22}[/tex]

For the iron ions:

[tex]Kps=[0.365]*[S^{-2}]=3.7*10^{-19}[/tex]

[tex][S^{-2}]=1.01*10^{-18}[/tex]

Given that the [tex][S^{-2}][/tex] concentration required to start precipitating iron is higher than the final concentration for the Pb precipitation (when the desired concentration is reached), the iron will not precipitate.

The concentration of [tex]H_3O^+[/tex]

[tex]H_2S + 2 H_2O \longrightarrow 2 H_3O^+ + S^{-2}[/tex]

[tex][H_3O^+]=2*[S^{-2}]=6.8*10^{-22}[/tex]