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Consider the following equilibrium: Fe(OH)3(s) D Fe3+(aq) + 3OH–(aq) with Ksp = 1.6 x 10-39. The...

Consider the following equilibrium: Fe(OH)3(s) D Fe3+(aq) + 3OH–(aq) with Ksp = 1.6 x 10-39. The activity coefficients for Fe3+(aq) and 3OH–(aq) are 0.445 and 0.900 in a solution with an ionic strength of 0.01M. The pH of the solution was 11.

a. Calculate [OH–] in the solution.

b. Use the activity coefficients in order to calculate [Fe3+] in the solution.

Solutions

Expert Solution

Ionic strength:

Ionic strength is described as the estimation of solution’s entire ionic concentration. Ionic strength was introduced for the first time when ionic compound’s activity coefficients were being studied.

__Given Data:__

*The of   is

*The activity coefficient of is 0.445

*The activity coefficient of is 0.900

*The ionic strength is 0.01 M

*The pH of the solution is 11

__Explanation to part a:__

The formula written below is used for calculating

Substitute the given values in the equation above in order to evaluate the  

The calculation for is shown below

Therefore, the concentration of in the solution is

__Explanation to part b:__

The dissolution of   is shown below.

The solubility product expression for is written in the following manner.

In the above equation (I) and are the activity coefficients.

The known values are substituted in the equation (I) above in order to evaluate ion concentration

Therefore, the concentration of in the solution is

queen_honey_blossom answered 1 year ago
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