Systematic treatment of equilibrium

Question

Assignment:

Solve the following problems using the systematic approach to equilibrium problems.

Q1. Determine the concentration of Ag⁺, CN^-, and HCN in a saturated solution of AgCN where the pH is fixed at 5.90.

Q2. Determine the concentration of NH₄⁺, NH₃, CH₃COOH (acetic acid), and CH₃COO^- (acetate ion) if 0.0050 moles of ammonium acetate (NH4⁺ -OOCCH₃) is dissolved in 1.00 L of water and the pH is fixed at 5.90.

Q3. Calculate the pH of 5.0 x 10^-8 M HCl. You will need to use the systematic treatment of equilibrium, and there are no simplifying assumptions you can make. Approximately what fraction of the total H⁺ in this solution is due to the autoprotolysis of water?

Q4. Write chemical reactions for the following:
a. Ka for 3-nitrobenzoic acid
b. Kb for 3-nitrobenzoate
c. Kb for benzylamine
d. Ka for benzylammonium ion

Q5. Calculate the pH and fraction of dissociation for a 0.10 M solution of formic acid.

Q6. Calculate the pH and fraction of association for a 0.10 M solution of sodium formate.

Q7. Calculate the pH and fraction of dissociation for a 0.050 M solution of ethanolamine (2-amino ethanol).

Provide complete and step by step solution for the question and show calculations and use formulas.