Honors Chemistry Name: _____________________________________ Date: __________________ Mods: _________ The Common-Ion Effect and Buffered Solutions 17.1 The Common-Ion Effect: The extent of ionization of a weak electrolyte is ___________________ by adding to the solution a _______________ electrolyte that has an ion in common with the weak electrolyte. Consider adding sodium acetate ( _______________) to a solution of acetic acid (______________). ► Acetic acid is a weak acid which means it is a ___________ electrolyte. ► Sodium acetate is a soluble ionic compound according to our solubility rules which means it is a ______________ electrolyte that dissociates ___________________ in aqueous solution as seen below: NaC2H3O2 (aq) Na+ (aq) + C2H3O2- (aq) In contrast, HC2H3O2 ionizes as follows: HC2H3O2 (aq) H+ (aq) + C2H3O2- (aq) According to ______ ____________________ principle, the addition of C2H3O2-, from NaC2H3O2, causes this equilibrium to shift to the __________, thereby __________________ the equilibrium concentration of H+ (aq) and __________________ the pH. 1) Example Problem: Calculating the pH When a Common Ion Is Involved What is the pH of a solution made by adding 0.30 M acetic acid (HC2H3O2) and 0.25 M sodium acetate (NaC2H3O2)? Ka for HC2H3O2 = 1.8 x 10-5 I C E *In Ch. 16, we calculated that a 0.30 M solution of HC2H3O2 has a pH of 2.64, corresponding to [H+] = 2.3 x 10-3 M. Thus, the addition of NaC2H3O2 has substantially decreased [H+] and raised the pH. Now You Try! Calculate the pH of a solution containing 0.085 M nitrous acid (HNO2; Ka = 4.5 x 10-4) and 0.10 M potassium nitrite (KNO2). I C E 2) Example Problem: Calculating Ion Concentrations When a Common Ion Is Involved Calculate the fluoride ion concentration and pH of a solution that is 0.20 M in HF and 0.10 M in HCl. Ka for HF = 6.8 x 10-4 I C E Now You Try! Calculate the formate ion concentration and pH of a solution that is 0.050 M in formic acid (HCHO2; Ka = 1.8 x 10-4) and 0.10 M in HNO3. I C E The ionization of a weak base is also ________________ by the addition of a common ion. For example, the addition of NH4+ (as from the strong electrolyte, NH4Cl) causes the base-dissociation equilibrium of NH3 to shift to the __________, _______________ the equilibrium concentration of OH- and _______________ the pH as seen below: NH3 (aq) + H2O (l) NH4+ (aq) + OH- (aq) 17.2 Buffered Solutions: Buffers are solutions of a _____________ conjugate acid-base pair. They are particularly resistant to changes in _______, even when strong acid or base is added. ► This is due to the fact that buffers have a _______________ component which can neutralize H+ (from added acid) AND an _______________ component which can neutralize OH- (from added base) To make a buffer: Add a ______________ acid or base with a _____________ of that acid or base (recall that salts are ______________ compounds!) ► HC2H3O2- C2H3O2- buffer: ► weak acid- conj. base buffer ► add NaC2H3O2 (salt) to a solution of HC2H3O2 (weak acid) ► NH3 - NH4+ buffer: ► Weak base – conj. acid buffer ► add NH4Cl (salt) to a solution of NH3 (weak base) Addition of an Acid or Base to a Buffer: If a small amount of base is added to a buffer of HF and F-, for example, the HF component of the buffer will react with the added OH- , _____________________ [HF] and _____________________ [F-] in the buffer. If a small amount of acid is added, the F- component of the buffer reacts with the added H+, _____________________ [F-] and _____________________ [HF] in the buffer. To Summarize: ► Adding a base (OH-) to a buffer increases the concentration of conjugate base in a buffer (very small __________________ in pH) ► Adding an acid (H+) to a buffer increases the concentration of the weak acid (very small ___________________ in pH) Buffer Calculations: Give the formula for the Henderson-Hasselbalch (H-H) equation: ► When [base] = [acid], ___________ = ___________ 1) Example Problem: Using the Henderson-Hasselbalch equation to find pH What is the pH of a buffer that is 0.12 M in lactic acid, HC3H5O3, and 0.10 M in sodium lactate? Ka for lactic acid is 1.4 x 10-4. Now You Try! Calculate the pH of a buffer composed of 0.10 M benzoic acid and 0.20 M sodium benzoate. Ka for benzoic acid is 6.3 x 10-5. 2) Example Problem: Using the Henderson-Hasselbalch equation to find a concentration Calculate the concentration of lactic acid that must be present in a 0.014 M solution of sodium lactate (NaC3H5O3) to produce a pH of 3.96. Ka for lactic acid is 1.4 x 10-4. Important Characteristics of Buffers: 1) Buffer capacity - the amount of acid or base the buffer can __________________ before the pH begins to change to an ___________________ degree 2) pH Range – the range of pH values over which the buffer acts ____________________ ► It is best to choose an acid with a pKa close to the desired pH. Homework Practice Problems: Directions: Use ICE table to solve the following common-ion solution problems. 1. Calculate the pH of a solution that is 0.085 M propionic acid (HC3H5O2; Ka = 1.3 x 10-5) and 0.060 M potassium propionate (KC3H5O2). I C E 2. Calculate the pH of a solution that is 0.260 M formic acid (HCHO2; Ka = 1.8 x 10-4) and 0.160 M sodium formate (NaCHO2). I C E Directions: Use the H-H equation to solve the following problems: 3. Calculate the pH of a buffer that is 0.12 M in butanoic acid (HC4H7O2; Ka = 1.5 x 10-5) and 0.11 M in lithium butyrate (LiC4H7O2). 4. Calculate the Ka of a buffer that is 0.25 M in nitrous acid (HNO2) and 0.31 M in potassium nitrite (KNO2) if the pH is 3.44. 5. Calculate the concentration of sodium cyanate (NaCNO) that must be present in a 0.70 M solution of cyanic acid (HCNO; Ka = 3.5 x 10-4) to produce a pH of 4.20. 6. Calculate the concentration of chlorous acid (HClO2; Ka = 1.1 x 10-2) that must be present in a 0.005 M solution of sodium chlorite (NaClO2) to produce a pH of 2.45.