Acids and Bases Chapter 15 Some Properties of Acids Produce H+ (as H3O+) ions in water (the hydronium ion is a hydrogen ion attached to a water molecule) Taste sour Corrode metals Electrolytes React with bases to form a salt and water pH is less than 7 Turns blue litmus paper to red “Blue to Red A-CID” Some Properties of Bases Produce OH- ions in water Taste bitter, chalky Are electrolytes Feel soapy, slippery React with acids to form salts and water pH greater than 7 Turns red litmus paper to blue “Basic Blue” Acid Nomenclature Review Anion Ending No Oxygen Acid Name -ide hydro-(stem)-ic acid -ate (stem)-ic acid -ite (stem)-ous acid w/Oxygen An easy way to remember which goes with which… “In the cafeteria, you ATE something ICky” Acid/Base definitions Definition 1: Arrhenius Arrhenius acid is a substance that produces H+ (H3O+) in water Arrhenius base is a substance that produces OH- in water 4.3 Acid/Base Definitions • Definition #2: Brønsted – Lowry Acids – proton donor Bases – proton acceptor A “proton” is really just a hydrogen atom that has lost it’s electron! A Brønsted-Lowry acid is a proton donor A Brønsted-Lowry base is a proton acceptor base acid conjugate acid conjugate base ACID-BASE THEORIES The Brønsted definition means NH3 is a BASE in water — and water is itself an ACID NH3 + H 2O Base Acid NH4+ + OH Acid Base Conjugate Pairs Learning Check! Label the acid, base, conjugate acid, and conjugate base in each reaction: HCl + OH- Cl- + H2O Acid Base Conj. Base Conj. Acid H2O + H2SO4 HSO4- + H3O+ Base Acid Conj. Base Conj. Acid Acids & Base Definitions Definition #3 – Lewis Lewis acid - a substance that accepts an electron pair Lewis base - a substance that donates an electron pair Lewis Acids & Bases Formation of hydronium ion is also an excellent example. H + ACID •• •• O—H H BASE •• H O—H H •Electron pair of the new O-H bond originates on the Lewis base. Lewis Acid/Base Reaction The pH scale is a way of expressing the strength of acids and bases. Instead of using very small numbers, we just use the NEGATIVE power of 10 on the Molarity of the H+ (or OH-) ion. Under 7 = acid 7 = neutral Over 7 = base Calculating the pH pH = - log [H+] (Remember that the [ ] mean Molarity) Example: If [H+] = 1 X 10-10 pH = - log 1 X 10-10 pH = - (- 10) pH = 10 Example: If [H+] = 1.8 X 10-5 pH = - log 1.8 X 10-5 pH = - (- 4.74) pH = 4.74 Try These! Find the pH of these: 1) A 0.15 M solution of Hydrochloric acid pH = - log [H+] pH = - log 0.15 pH = - (- 0.82) pH = 0.82 2) A 3.00 X 10-7 M solution of Nitric acid pH = - log 3 X 10-7 pH = - (- 6.52) pH = 6.52 pH calculations – Solving for H+ If the pH of Coke is 3.12, [H+] = ??? Because pH = - log [H+] then - pH = log [H+] Take antilog (10x) of both sides and get 10-pH = [H+] [H+] = 10-3.12 = 7.6 x 10-4 M *** to find antilog on your calculator, look for “Shift” or “2nd function” and then the log button More About Water H2O can function as both an ACID and a BASE. In pure water there can be AUTOIONIZATION Equilibrium constant for water = Kw Kw = [H3O+] [OH-] = 1.00 x 10-14 at 25 oC More About Water Autoionization OH- H3O+ Kw = [H3O+] [OH-] = 1.00 x 10-14 at 25 oC In a neutral solution [H3O+] = [OH-] and so [H3O+] = [OH-] = 1.00 x 10-7 M pOH • Since acids and bases are opposites, pH and pOH are opposites! • pOH does not really exist, but it is useful for changing bases to pH. • pOH looks at the perspective of a base pOH = - log [OH-] Since pH and pOH are on opposite ends, pH + pOH = 14 pH [H+] [OH-] pOH + [H3O ], [OH ] and pH What is the pH of the 0.0010 M NaOH solution? [OH-] = 0.0010 (or 1.0 X 10-3 M) pOH = - log 0.0010 pOH = 3 pH = 14 – 3 = 11 OR Kw = [H3O+] [OH-] [H3O+] = 1.0 x 10-11 M pH = - log (1.0 x 10-11) = 11.00 What is the pH of a 2 x 10-3 M HNO3 solution? HNO3 is a strong acid – 100% dissociation. Start 0.002 M HNO3 (aq) + H2O (l) End 0.0 M 0.0 M 0.0 M H3O+ (aq) + NO3- (aq) 0.002 M 0.002 M pH = -log [H+] = -log [H3O+] = -log(0.002) = 2.7 What is the pH of a 1.8 x 10-2 M Ba(OH)2 solution? Ba(OH)2 is a strong base – 100% dissociation. Start 0.018 M Ba(OH)2 (s) End 0.0 M 0.0 M 0.0 M Ba2+ (aq) + 2OH- (aq) 0.018 M 0.036 M pH = 14.00 – pOH = 14.00 + log(0.036) = 12.56 15.4 Strong and Weak Acids/Bases The strength of an acid (or base) is determined by the amount of IONIZATION. HNO3, HCl, HBr, HI, H2SO4 and HClO4 are the strong acids. Strong and Weak Acids/Bases • Generally divide acids and bases into STRONG or WEAK ones. STRONG ACID: HNO3 (aq) + H2O (l) H3O+ (aq) + NO3- (aq) HNO3 is about 100% dissociated in water. Strong and Weak Acids/Bases • Weak acids are much less than 100% ionized in water. *One of the best known is acetic acid = CH3CO2H Strong and Weak Acids/Bases • Strong Base: 100% dissociated in water. NaOH (aq) Na+ (aq) + OH- (aq) Other common strong bases include KOH and Ca(OH)2. CaO (lime) + H2O --> Ca(OH)2 (slaked lime) Strong bases are the group I hydroxides CaO Calcium, strontium, and barium hydroxides are strong, but only soluble in water to 0.01 M Strong and Weak Acids/Bases • Weak base: less than 100% ionized in water One of the best known weak bases is ammonia NH3 (aq) + H2O (l) ↔ NH4+ (aq) + OH- (aq) Weak Bases Equilibria Involving Weak Acids and Bases Consider acetic acid, HC2H3O2 (HOAc) HC2H3O2 + H2O ↔ H3O+ Acid + C2H3O2 Conj. base [H3O+ ][OAc - ] -5 Ka 1.8 x 10 [HOAc] (K is designated Ka for ACID) K gives the ratio of ions (split up) to molecules (don’t split up) Ionization Constants for Acids/Bases Acids Conjugate Bases Increase strength Increase strength Equilibrium Constants for Weak Acids Weak acid has Ka < 1 Leads to small [H3O+] and a pH of 2 - 7 Equilibria Involving A Weak Acid You have 1.00 M HOAc. Calc. the equilibrium concs. of HOAc, H3O+, OAc-, and the pH. Step 1. Define equilibrium concs. in ICE table. [HOAc] [H3O+] [OAc-] initial 1.00 0 0 change -x +x +x equilib 1.00-x x x Equilibria Involving A Weak Acid You have 1.00 M HOAc. Calc. the equilibrium concs. of HOAc, H3O+, OAc-, and the pH. Step 2. Write Ka expression + 2 [H O ][OAc ] x 3 Ka 1.8 x 10-5 = [HOAc] 1.00 - x This is a quadratic. Solve using quadratic formula. or you can make an approximation if x is very small! (Rule of thumb: 10-5 or smaller is ok) Equilibria Involving A Weak Acid You have 1.00 M HOAc. Calc. the equilibrium concs. of HOAc, H3O+, OAc-, and the pH. Step 3. Solve Ka expression + 2 [H O ][OAc ] x 3 Ka 1.8 x 10-5 = [HOAc] 1.00 - x First assume x is very small because Ka is so small. Ka 1.8 x 10-5 = x2 1.00 Now we can more easily solve this approximate expression. Equilibria Involving A Weak Acid You have 1.00 M HOAc. Calc. the equilibrium concs. of HOAc, H3O+, OAc-, and the pH. Step 3. Solve Ka approximate expression Ka 1.8 x 10-5 = x2 1.00 x = [H3O+] = [OAc-] = 4.2 x 10-3 M pH = - log [H3O+] = -log (4.2 x 10-3) = 2.37 Equilibria Involving A Weak Acid Calculate the pH of a 0.0010 M solution of formic acid, HCO2H. HCO2H + H2O ↔ HCO2- + H3O+ Ka = 1.8 x 10-4 Approximate solution [H3O+] = 4.2 x 10-4 M, pH = 3.37 Exact Solution [H3O+] = [HCO2-] = 3.4 x 10-4 M [HCO2H] = 0.0010 - 3.4 x 10-4 = 0.0007 M pH = 3.47 Equilibrium Constants for Weak Bases Weak base has Kb < 1 Leads to small [OH-] and a pH of 12 - 7 Relation of Ka, Kb, [H3O+] and pH Equilibria Involving A Weak Base You have 0.010 M NH3. Calc. the pH. NH3 + H2O ↔ NH4+ + OHKb = 1.8 x 10-5 Step 1. Define equilibrium concs. in ICE table [NH3] [NH4+] [OH-] initial 0.010 0 0 change -x +x +x equilib 0.010 - x x x Equilibria Involving A Weak Base You have 0.010 M NH3. Calc. the pH. NH3 + H2O NH4+ + OHKb = 1.8 x 10-5 Step 2. Solve the equilibrium expression [NH 4+ ][OH- ] x2 -5 Kb 1.8 x 10 = = [NH3 ] 0.010 - x Assume x is small, so x = [OH-] = [NH4+] = 4.2 x 10-4 M and [NH3] = 0.010 - 4.2 x 10-4 ≈ 0.010 M The approximation is valid ! Equilibria Involving A Weak Base You have 0.010 M NH3. Calc. the pH. NH3 + H2O NH4+ + OHKb = 1.8 x 10-5 Step 3. Calculate pH [OH-] = 4.2 x 10-4 M so pOH = - log [OH-] = 3.37 Because pH + pOH = 14, pH = 10.63 Types of Acid/Base Reactions: Summary Weak Bases are weak electrolytes F- (aq) + H2O (l) NO2- (aq) + H2O (l) OH- (aq) + HF (aq) OH- (aq) + HNO2 (aq) Conjugate acid-base pairs: • The conjugate base of a strong acid has no measurable strength. • H3O+ is the strongest acid that can exist in aqueous solution. • The OH- ion is the strongest base that can exist in aqueous solution. 15.4 15.4 Strong Acid Weak Acid 15.4 Ionized acid concentration at equilibrium percent ionization = x 100% Initial concentration of acid For a monoprotic acid HA Percent ionization = [H+] [HA]0 x 100% [HA]0 = initial concentration 15.5 Ionization Constants of Conjugate Acid-Base Pairs HA (aq) A- (aq) + H2O (l) H2O (l) H+ (aq) + A- (aq) OH- (aq) + HA (aq) H+ (aq) + OH- (aq) Ka Kb Kw KaKb = Kw Weak Acid and Its Conjugate Base Kw Ka = Kb Kw Kb = Ka 15.7 Molecular Structure and Acid Strength H X H+ + X- The stronger the bond The weaker the acid • Bond strength • Polarity HF << HCl < HBr < HI 15.9 Molecular Structure and Acid Strength Z dO d+ H Z O- + H+ The O-H bond will be more polar and easier to break if: • Z is very electronegative or • Z is in a high oxidation state 15.9 Molecular Structure and Acid Strength 1. Oxoacids having different central atoms (Z) that are from the same group and that have the same oxidation number. •• •• •• •• •• •• Acid strength increases with increasing electronegativity of Z •• •• O O •• •• •• •• H O Cl O H O Br O •• •• • • •• •• • • Cl is more electronegative than Br HClO3 > HBrO3 15.9 Molecular Structure and Acid Strength 2. Oxoacids having the same central atom (Z) but different numbers of attached groups. Acid strength increases as the oxidation number of Z increases. HClO4 > HClO3 > HClO2 > HClO 15.9 Acid-Base Properties of Salts Neutral Solutions: Salts containing an alkali metal or alkaline earth metal ion (except Be2+) and the conjugate base of a strong acid (e.g. Cl-, Br-, and NO3-). NaCl (s) H2O Na+ (aq) + Cl- (aq) Basic Solutions: Salts derived from a strong base and a weak acid. NaCH3COO (s) H 2O CH3COO- (aq) + H2O (l) Na+ (aq) + CH3COO- (aq) CH3COOH (aq) + OH- (aq) 15.10 Acid-Base Properties of Salts Acid Solutions: Salts derived from a strong acid and a weak base. NH4Cl (s) NH4+ (aq) H2O NH4+ (aq) + Cl- (aq) NH3 (aq) + H+ (aq) Salts with small, highly charged metal cations (e.g. Al3+, Cr3+, and Be2+) and the conjugate base of a strong acid. Al(H2O)3+ 6 (aq) Al(OH)(H2O)52+(aq) + H+ (aq) 15.10 Acid-Base Properties of Salts Solutions in which both the cation and the anion hydrolyze: • Kb for the anion > Ka for the cation, solution will be basic • Kb for the anion < Ka for the cation, solution will be acidic • Kb for the anion Ka for the cation, solution will be neutral 15.10