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Chapter 8: Q6P (page 183)

Interpolate in Table 8-1 to find the activity coefficient of H+when μ=0.030M

Short Answer

Expert verified

The activity coefficient of H+whenμ=0.030M would be0.887M

Step by step solution

01

Definition of an Activity Coefficient of an ion.

An activity coefficient is a factor used to account for deviations from ideal behavior in a solution.

Here we will interpolate in Table 8-1 in order to find the activity coefficient of H+whenrole="math" localid="1654774428963" μ=0.030M

02

Interpreting the activity coefficient of H+when μ=0.030 M

From the table 8-1 we can see the ionic strength is halfway between the values of 0.01M and 0.05M

M=120.914+0.860M=0.887M

Therefore, the activity coefficient would be0.887M

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Most popular questions from this chapter

Find [H+] and the pH of0.05MI2NO3.

State the meaning of the charge and mass balance equations.

What would be the charge balance if you add MgCl2 to the solution and it dissociates intoMg++2Cl-?

Sodium acetate hydrolysis treated by Solver with activity coefficients.

(a) Following the NH3 example in Section 8-5, write the equilibria and charge and mass balances needed to find the composition of 0.01 M sodium acetate (Na+A-). Include activity coefficients where appropriate. The two reactions are hydrolysis (pKb = 9.244) and ionization of H2O.

(b) Including activity coefficients, set up a spreadsheet analogous to Figure 8-12 to find the concentrations of all species. Assign an initial value of ionic strength = 0.01. After the rest of the spreadsheet is set up, change the ionic strength from the numerical value 0.01 to the correct formula for ionic strength. This two-step process of beginning with a numerical value and then going to a formula is necessary because of circular references between ionic strength and concentrations that depend on ionic strength. There are four unknowns and two equilibria, so use Solver to find 4 - 2 = 2 concentrations (pC values). Solver does not find both pC values at the same time well in this problem. Execute one pass to find both pC values by varying pA and pOH to minimizeΣbi2 . Then vary only pA to minimizeΣbi2 . Then vary only pOH to minimize Σbi2. Continue alternating to solve for one value at a time as long as Σbi2 continues to decrease. Find [A-], [OH-], [HA], and [H+]. Find the ionic strength, pH =-log([H+] γ+) and the fraction of hydrolysis = [HA]/F.

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