Find the activity (not the activity coefficient) of the (C3H7)4N+(tetra propylammonium) ion in a solution containing(C3H7)4N+Br-plus0.0050M(CH3)4N+CI-

Short Answer

Expert verified

The activity ofC3H74N+ ion is 0.0046.

Step by step solution

01

Define the formula for activity species.

Any species' activity value is calculated by multiplying its concentration by its activity coefficient.

For a species C, the activity is given by

Ac=[C]γc

where,

A - Activity

[c] - Concentration

- Activity coefficient.

02

Calculate the activity species.

Given

0.0050MC3H7N+Br-plus0.0050MCH34N+CI-

The ionic strength of this solution isμ=0.010M

The size of the ion isC3H74N+is 800pm

μ=0.010M,

Atγ=0.912 for an ion of charge1-+ withα=800pm

The activity ofrole="math" localid="1654762931695" C3H74N- by using activity coefficient and concentration values

AC3H74N+=C3H74N+γC3H74N-=0.00500.912=0.0046

The activity of C3H74N+ion is 0.0046.

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Most popular questions from this chapter

What is the ionic strength of 1mMCaCl2?

Which statements are true In the ionic strength range 0I0.1M,

activity coefficients decrease with

a) increasing ionic strength

b) increasing ionic charge

c) decreasing hydrated radius

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

By interpolation, find γforH+ when μ=0.06M.

Write the equilibrium expression for Ca2++2Cl-Cacl2(aq)with activity coefficients.

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