
Equilibrium 2
Acids, Bases, pH, and Salts
Strong Acids and Bases
As a review from the first semester of general chemistry, the list of strong acids and bases are the most important as these are among the most common acids and bases. Know their formulas. Remember that the word "strong" means complete ionization.
Acid Base Definitions
Arrhenius
The first and most common definition especially in a biological sense is the Arrhenius system. This system is confined to aqueous solutions of acids and bases but since we live in a pretty watery world, this is a convenient and applicable system. Acids increase the concentration of H+ in aqueous solution. Remember that the hydrogen ion does not really exist alone and if there is water around (which there will be for Arrhenius acids and bases), it will be the hydronium ion, H3O+, that will be produced by Arrhenius acids. Bases increase the concentration of OH- ions in aqueous solutions.
Bronsted Lowry
Bronsted-Lowry Acids and Bases are characterized by the production of protons (H+)-acids or the acceptance of protons-bases. Again, focus on the "doing". Every equation below except one, involves one species donating a proton (acid) to another species which accepts that proton (base).
Identify the acid in the equation below and the base:
HCl + NH3 → NH4+ + Cl-
Unlike the Arrhenius definition, the Bronsted-Lowry definition does not involve water so this definition is a little more universal than the Arrhenius definition. However, as noted earlier, many Arrhenius acids and bases can be considered Bronsted-Lowry acids and bases as well. In particular, water itself can be both a proton donor (when combined with a stronger base) and it can be a proton acceptor (when combined with a stronger acid). Water is, therefore, amphoteric meaning it can be both an acid and a base.
Lewis
Lewis acids and bases are the most universal of all three definitions. A Lewis acid or base does not have to involve protons at all or even water. A Lewis acid accepts a pair of electrons and a Lewis base donates a pair of electrons. You need to be thinking Lewis dot structures to understand this one. Anything that could be a Brønsted–Lowry base is a Lewis base.
Lewis acids typically are electron-poor with empty orbitals ready for accepting those electron pairs. Think transition metals with empty d-orbitals and boron and H+. Lewis bases are "electron-rich" with lone pairs to donate to the Lewis acid (think nitrogen, the halogens, and even oxygen). In fact, this acid/base action creates a covalent bond which is called a coordinate covalent bond (or even a dative bond by some).
Bronsted Lowry and Arrhenius examples
Lewis Acid-Base example
Practice
1. (a) Give the conjugate base of the following Bronsted-Lowry acids: (i) HCOOH, (ii) HPO42-. (b) Give the conjugate acid of the following Bronsted-Lowry bases: (i) SO42-, (ii) CH3NH2.
2. (a) Write an equation for the reaction in which H2C6H7O5- (aq) acts as a base in H2O (l). (b) Write an equation for the reaction in which H2C6H7O5- (aq) acts as an acid in water. (c) Identify the conjugate acid-base pairs in both equations.
3. (a) A solution is labeled 0.035 M Sr(OH)2. What is the [OH-] for the solution? (b) Is the following statement true or false? Because Mg(OH)2 is not very soluble, it cannot be a strong base. Explain.
Conjugate Acids and Bases
HCl is an acid and water is a base on the reactant side. If this reaction were to reverse itself, the hydronium ion could give up that extra H+ and chloride could accept it. Therefore, we call hydronium the conjugate acid of the base, water, and chloride ion is the conjugate base of the acid, HCl. However, because the acid that generated this equation to begin with is so strong, the conjugates are too weak to reverse the reaction. This example can be seen above
For weak acids and bases, the conjugates produced are stronger than the weaker acids or bases that produced them. In most of these weak acids and bases, it is the reverse reaction that is more favored and, therefore, the rule of thumb of favoring the generation of a weaker side still holds. The fact that these weak acids and bases generate an equilibrium system says that the reverse reaction is feasible and, in fact, occurs at the same rate as the forward reaction. In acid/base land that means that the conjugates produced do indeed have formidable acid/base properties themselves. This example is pictured below.
Polyprotic Acids
Acid and Base Strength
Strong acids are completely dissociated in water.
Their conjugate bases are quite weak.
Weak acids only dissociate partially in water.
Their conjugate bases are weak bases.
Acid strength and Equilibria
In any acid–base reaction, the equilibrium will favor the reaction that moves the proton to the stronger base.
Acetate is a stronger base than H2O, so the equilibrium favors the left side (K < 1).
The greater the value of Ka, the stronger the acid.
Factors affecting acid strength
The more polar the H–X bond and/or the weaker the H–X bond, the more acidic the compound.
So acidity increases from left to right across a row and from top to bottom down a group.
In oxyacids, in which an –OH is bonded to another atom, Y, the more electronegative Y is, the more acidic the acid.
For a series of oxyacids, acidity increases with the number of oxygens.
Resonance in the conjugate bases of carboxylic acids stabilizes the base and makes the conjugate acid more acidic.
Cations with acidic protons (like NH4+) will lower the pH of a solution.
Most metal cations that are hydrated in solution also lower the pH of the solution.
Greater charge and smaller size make a cation more acidic.
Practice
1. (a) Which of the following is a stronger Bronsted-Lowry acid, HClO3 or HClO2? (b) Which is the stronger Bronsted-Lowry base, HS- or HSO4-? Explain your choices.
2. Explain the following observations: (a) HCl is a stronger acid than H2S; (b) H3PO4 is a stronger acid than H3AsO4; (c) HBrO3 is a stronger acid than HBrO2; (d) H2C2O4 is a stronger acid than HC2O4-; (e) benzoic acid (C6H5COOH) is stronger acid than phenol (C6H5OH).
3. Based on their compositions and structures and on conjugate acid-base relationships, select the stronger base in each of the following pairs: (a) NO3- or NO2-, (b) PO43- or AsO43-, (c) HCO3- or CO32-.
4. Identify the Lewis acid and Lewis base in each of the following reactions:
(a) HNO2 (aq) + OH- (aq) ↔ NO2- (aq) + H2O (l)
(b) FeBr3 (s) + Br- (aq) ↔ FeBr4- (aq)
(c) Zn2+ (aq) + 4NH3 (aq) ↔ Zn(NH3)42+ (aq)
(d) SO2 (g) + H2O (l) ↔ H2SO3 (aq)
5. Which member of each pair produces the more acidic aqueous solution: (a) ZnBr2 or CdCl2, (b) CuCl or Cu(NO3)2, (c) Ca(NO3)2 or NiBr2? Explain.
Autoionization of water
As we have seen, water is amphoteric.
In pure water, a few molecules act as bases and a few act as acids.
The equilibrium expression for this process is
Kc = [H3O+] [OH−]
This special equilibrium constant is referred to as the ion product constant for water, Kw.
At 25°C, Kw = 1.0 ⋅ 10−14
Video on Acid Base definitions and reactions. There is a worked out problem at the beginning that is not about acids and bases.
pH
In pure water, hydronium and hydroxide concentrations are equal and we call pure water neutral. When [H3O+] > [OH-] then the solution (now water is not pure ) is said to be acidic and when [H3O+] < [OH-], the solution is said to be basic. The concentration of [H3O+] or [OH-] in an acidic or basic solution will be determined by the stoichiometry of the acid or base. For example, if the concentration of HCl is 1 x 10-3 M, then the hydronium ion concentration in this solution will also be 1 x 10-3 M. If you need the hydroxide ion concentration for the same solution, use the Kw relationship: Kw = [H3O+][OH-] and the hydroxide concentration for this example is
1 x 10-14/ 1 x 10-3 = 1 x 10-11 M. See second chart below (memorize this one). It is important to realize, however, that this simple relationship between acid/base concentration and hydronium/hydroxide concentrations only works for STRONG ACIDS AND BASES. Because concentrations like 1 x 10-8 and so on are hard to write and conceptualize for many, a log of the Kw expression gives us an easier scale to use. The important thing to realize is that because the pH scale is logarithmic, every change in value of 1 on the pH scale really represents a change of 10 in concentration.
Practice
1. Calculate the pH of each of the following strong acid solutions: (a) 0.0167 M HNO3, (b) 0.225 g of HClO3 in 2.00 L of solution, (c) 15.00 mL of 1.00 M HCl diluted to 0.500 L, (d) a mixture formed by adding 50.0 mL of 0.020 M HCl to 125 mL of 0.010 M HI.
2. Calculate [OH-] and pH for each of the following strong base solutions: (a) 0.182 M KOH, (b) 3.165 g of KOH in 500.0 mL of solution, (c) 10.0 mL of 0.0105 M Ca(OH)2 diluted to 500.0 mL, (d) a solution formed by mixing 20.0 mL of 0.015 M Ba(OH)2 with 40.0 mL of 8.2 x 10-3 M NaOH.
3. Carbon dioxide in the atmosphere dissolves in raindrops to produce carbonic acid (H2CO3), causing the pH of clean, unpolluted rain to range from about 5.2 to 5.6. What are the ranges of [H+] and [OH-] in the raindrops?
Calculating Ka from pH.
The pH of a 0.10 M solution of formic acid, HCOOH, at 25°C is 2.38. Calculate Ka for formic acid at this temperature.
To calculate Ka, we need the equilibrium concentrations of all three things.
ICE table!! The pH will lead you to the equilibrium concentration of H3O+ AND the conjugate base. These concentrations are the "x" in the ICE table. This concentration is also the amount of the acid (or base) that dissociated.
Calculating percent ionization
Calculating pH from Ka (or Kb)
2. Using initial concentration of acid or base and Ka (or Kb), solve for x using equilibrium expression.
3. THE GOOD NEWS: You can almost always use the "approximation" that [HA] - x ~ [HA] due to the small values of Ka and Kb for most weak acids and bases.
4. If you are dealing with an acid, you are one step from pH once you have solved for x. For bases, it is two steps-see calculation table above.
Polyprotic acids have more than one Ka!
Polyprotic acids have more than one acidic proton.
If the difference between the Ka for the first dissociation and subsequent Ka values is 103 or more, the pH generally depends only on the first dissociation.
Practice
1. Phenylacetic acid (C6H5CH2COOH) is one of the substances that accumulates in the blood of people with phenylketonuria, an inherited disorder that can cause mental retardation and even death. A 0.085 M solution of C6H5CH2COOH has a pH of 2.68. Calculate the Ka for this acid.
2. A 0.100 M solution of bromoacetic acid (BrCH2COOH) is 13.2% ionized. Calculate [H+], [BrCH2COO-], [BrCH2COOH] and Ka for this acid.
3. Determine the pH of each of the following solutions (Ka and Kb values are given in Appendix D): (a) 0.095 M hypochlorous acid, (b) 0.0085 M hydrazine, (c) 0.165 M hydroxylamine.
4. Write the chemical equation and the Kb expression for the reaction of each of the following bases with water: (a) propylamine, C3H7NH2, (b) monohydrogen phosphate ion, HPO42-, (c) benzoate ion, C6H5CO2-.
5. Codeine (C18H21NO3) is a weak organic base. A 5.0 x 10-3 M solution of codeine has a pH of 9.95. Calculate the value of Kb for this substance. What is the pKb for this base?
Hydrolysis of Salts
Anions are bases.
As such, they can react with water in a hydrolysis reaction to form OH− and the conjugate acid.
Cations with acidic protons (like NH4+) will lower the pH of a solution.Most metal cations that are hydrated in solution also lower the pH of the solution.
Practice
1. Use the acid-dissociation constants in Table 16.3 to arrange these oxyanions from strongest to weakest base: SO42-, CO32-, SO32, and PO43-.
2. Predict whether aqueous solutions of the following substances are acidic, basic, or neutral: (a) AlCl3, (b) NaBr, (c) NaClO, (d) [CH3NH3]NO3, (e) Na2SO3.
3. An unknown salt is either KBr, NH4Cl, KCN, or K2CO3. If a 0.100 M solution of the salt is neutral, what is the identity of the salt.
4. Using data from Appendix D, calculate [OH-] and pH for each of the following solutions: (a) 0.105 M NaF, (b) 0.035 M Na2S.
Acid + Base reactions are also double replacement reactions
HCl (aq) + NaOH (aq) → NaCl(aq) + H2O
What can you do to help your understanding?
Dr. Melinda Oliver
Email: melinda.oliver@ung.edu
Location: Gainesville, GA, USA
Phone: (678)769-5429