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Including activity coefficient, find [Hg22+]in saturated Hg2Br2in localid="1654854633986" 0.00100MKBr .

Short Answer

Expert verified

The concentration of Hg22+in saturated Hg2Br2in 0.00100MKBr is7×10-17M

Step by step solution

01

Step 1:Finding the activity coefficient of aqueous solution (Hg22+) and (Br-).

In the given problem, we need to find the activity coefficient along with concentration of Hg22+in saturated in Hg2Br2in0.00100MKBr.

The solubility of is not quite expressed. So we will assume that,

μ=0.001M=cBr-

From the Table 8-1, we can know that the values are,

μHg2+=0.867μBr-=0.964

02

Finding the concentration of (Hg22+) using equilibrium constant equation.

Now, we will use equilibrium constant equation,

Ksp=5.6×10-23Ksp=cHg22+μHg2+×c2Br-5.6×10-23=cHg22+×0.867×0.0012×0.9642cHg22+=7×10-17M

Thus, the concentration ofHg22+in saturatedHg2Br2in localid="1654855580714" 0.00100MKBris7×10-17M

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Ammonia Equilibrium treated by solver. We now use the solve spreadsheet introduced in Figure 8 - 9 for TIN3 solubility to find the concentration of species in 0.01 M ammonia solution, neglecting activity coefficient. In the systematic treatment of equilibrium of NH3hydrolysis, we have four unknowns (NH3,[NH4+],H+,OH-) and two equilibrium (8-13) , (8-14). Therefore we will estimate the concentration of 4unknowns - 2equilibirum = 2species, for which I choose localid="1663566766281" NH+andOH-. Setup the spreadsheet shown below, in which the estimate localid="1663566820791" pNH4+=3.pOH-= 3 appears in B6andB7 . (Estimates comes from the Kbequilibrium 8-17 with [NH4+]=[OH-]=Kb[NH3]≈10-4.755[0.01]⇒pNH4+=pOH-≈3. Estimate donot have to be very good for Solver to work. The formula in cell C8 is [NH3]=[NH4+].

[OH-]/Kb and the formula in the cell C9 is [H+]=Kw/[OH-]. The mass balance b1appears in cell F6 and the charge balance b2 appears in cell F7 . Cell F8 has the sum b12+b22. As described for TIN3on page 176, open the solver window and set the Solver Option. Then use the Solver to set the target cell F8 Equal to Min by changing cells B6 : B7 . What are the concentrations of the species? What fraction of ammonia (=NH4+/NH4++NH3) is hydrolyzed. Your answer should agree with those from Goal Seek in Figure 8-8

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