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Why do activity coefficients not appear in the charge andmass balance equations?

Short Answer

Expert verified

Activity coefficients do not appear in the mass and charge balance of equations because charge and mass are proportional to molarity, not activity coefficients.

Step by step solution

01

Definition of activity coefficients

The activity coefficient \(\gamma \)measures the deviation of behavior from ideality,rapidly decreases as ionic strength increases.

02

Role of Activity coefficients in charge and mass balance equations

Charge and mass are proportional to molarity, not activity.

And also, activity co-efficient does not have any role in charge and mass transfer balance equations.

The only one step in which activity coefficients appear is in, writing the equilibrium constant expression for each chemical reaction.

Therefore, Since the charge and mass of the atoms are conserved in the reaction,

activity coefficients do not appear in the mass and charge balance of equations.

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Most popular questions from this chapter

Find [Hg22+] in equilibrium with 0.010MKCl saturated withHg2Cl2.

Find the activity coefficient of H+in a solution containing 0.010MHCIplus 0.040MKCIO4 . What is the pH of the solution?

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 minimizebi2 . Then vary only pA to minimizebi2 . Then vary only pOH to minimize bi2. Continue alternating to solve for one value at a time as long as bi2 continues to decrease. Find [A-], [OH-], [HA], and [H+]. Find the ionic strength, pH =-log([H+] +) and the fraction of hydrolysis = [HA]/F.

(a) Ion Pairing . As in problem 8-30, find the concentration, ionic strength, and ion pair fraction in 0.025FMgSO4

(b) Two possibly important reactions that we did not consider are acid hydrolysis of Mg+Mg2++H2OMgOH++H+and base hydrolysis of SO2-4. Write these two reactions and find their equilibrium constants in Appendices I and G. With the assumed pH near 7.20 and neglecting activity coefficient, show that both reactions are negligible.

Find the activity coefficient of each ion at the indicated ionic strength:

(a)SO42-(=0.01M)(b)Sc3+(=0.005M)(c)Ec3+(=0.1M)(d)(CH3CH2)3NH+(=0.05M)

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