Question

In: Chemistry

Consider the effect of ionic strength, find the concentrations of Ag+, CN-, and HCN in a...

Consider the effect of ionic strength, find the concentrations of Ag+, CN-, and HCN in a saturated solution of AgCN whose pH is fixed at 9.00 (consider the effect of ionic strength and activities. use a method of successive approximations, until your answers from two iterations agree to within 5%).

Equilibria:

AgCN (s) <---> Ag+ + CN- Ksp= 2.2 x 10-16

CN- + H2O <---> HCN + OH- Kb= 1.6 x 10-5

Solutions

Expert Solution

AgCN(s) [Ag+(aq)][CN-(aq)]

The silver and cyanide ion concentration formed is considered as 'x'.applying solubility product,

Ksp=x2

2.2*10^-16 =x2

X=√2.2*10^-16

=1.48*10^-8 moldm-3

[Ag+]=[CN-]=1.48*10^-8moldm-3

Since pH =9,solution is basic so Kb be applied.

Kb=[HCN][OH-]/[CN-]

Concentration of water is a constant=1

From ph ,[OH-] can be found.

[H+][OH-]=10^14

[OH-]=1*10^5 moldm-3

(1.6*10^-5×1.48*10^-8)/1*10^-5=[HCN]

[HCN]=2.368*10^-8 moldm-3


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