What is the solubility for PbS including hydrolysis of ions (assume pH of the solution tobe equal to 7).

What is the solubility for PbS including hydrolysis of ions (assume pH of the solution tobe equal to 7).

Given that Ksp(PbS)=7x10^-29
Kb (Pb(OH))+=1.5x10^-8
Ka1 H2S=1.1x10^-1
Ka2 HS- = 10^-14

I got the concept but I just cant solve the equations.
They are

y^2/(x-y) = 6.7 x 10^-7
(z-a)(z+a)/(x-z)=1
a(a+z)/(z-a)=9.1 x 10^-8
(x-y)(x-z)= 7 x 10^-29

Please help!!

2 Answers

1
Euclid ·

i m unable to grasp wat u hav done....

multiply the two dissociation constants of the H2S and u can get the concentration of S2- using other given data...

1
swordfish ·

We cannot multiply them as the amount of reactants dissociated in 2 steps may be different.
I will tell you what I have done.

Let the solubility of PbS be x moles/litre.
so Initially, Pb2+ and S2- formed will be x (they will change on further reaction)
x mole of Pb2+ gives y mole of Pb(OH)+ and H3O+
x mole of S2- gives z mole of HS- and OH-
z mole of HS- gives a mole of H2S

Since HS- and OH- is present in both equlibriums, HS- present is z-a and OH- is z+a

At equilibrium,
following are the concentrations LEFT.
PB2+ = x-y Pb(OH)+ and H3O+ = y
S2- = x-z HS-=z-a and OH- =z+a
HS-= z-a H2S=a and OH-=z+a

I hope you got it. Please tell me how to solve the equations.

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