Question

In: Chemistry

Multistep problem that I'm confused on the entire thing: A) The addition of 5E-3 total moles...

Multistep problem that I'm confused on the entire thing:

A) The addition of 5E-3 total moles of Zn2+ to a 1.0L solution of NaCN gives a solution of the complex ion [Zn(CN)4-2](Kf=4.2E19). What is the concentration of uncomplexed Zn2+ ions if the concentration of cyanide ions in the final solution is 0.5M?

B) ZnCO3 is sparaingly soluble salt with a Ksp=1.0E-7. The addition of CN- (aq) to ZnCO3(s) yields the complex ion [Zn(Cn)42-] (aq) with the Kf mentioned before in Part A. Write the reaction.

C) What will be the Keq for this overall reaction?

D) What is the solubility of ZnCO3 (s) in a solution of NaCN (aq) where the equilibrium concentration of cyanide in the solution is 0.2 M? Use the calculated Keq from Part C.

Solutions

Expert Solution

Kf is formation of complex

Ksp is dissolution constant.

A) Zn2+ + 4NaCN --------> [Zn(CN)4]2-

concentration of Zn2+ = 5 x 10^-3 moles / 1L = 5 x 10^-3

     Zn2+      +      4NaCN --------> [Zn(CN)4]2-
5 x 10^-3        4(5 x 10^-3)                 0

-x                          0.5                     5 x 10^-3

Feed the values,

Kf = 4.2 x 10^-3 = 5 x 10^-3 / [x](0.5)^4

[x] = 1.9 x 10^-21

Zn2+ uncomplexed in solution = 5 x 10^-3 - 1.9 x 10^-21 = 5 x 10^-3 M

B) The chemical equation would be,

ZnCO3(s) + 4CN-(aq) -------------> [Zn(CN)4]2-(aq) + CO32-(aq)

C) Keq = Kf x Ksp

            = 4.2 x 10^19 x 1 x 10^-7

            = 4.2 x 10^12

D) Keq. = [Zn(CN)4]2-/[Zn(CO3)][CN-]^4

4.2 x 10^12 = 5 x 10^-3/(ZnCO3)(0.2)^4

[Zn(CO3)] = 7.44 x 10^-20 is the solubility of ZnCO3(s)


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