Acid-Base Chemistry Arrhenius acid: Substance that dissolves in water and provides H+ ions Arrhenius base: Substance that dissolves in water and provides OH- ions Examples: HCl H+ and Cl- Acid NaOH Na+ + OH- Base Bronsted Acid: Substance that donates proton to another substance Bronsted base: Substance that accepts proton from another substance Example: HCl + H2O H3O+ + ClHCl acts as acid; H2O acts as base In the Reverse Reaction, H3O+ acts as an acid; Cl- acts as a base Note: (H3O+ = hydronium ion = H+ = proton) •A monoprotic acid contains one acidic proton. HCl •A diprotic acid contains two acidic protons. H2SO4 •A triprotic acid contains three acidic protons. H3PO4 •A Brønsted–Lowry acid may be neutral or it may carry a net positive or negative charge. HCl, H3O+, HSO4− Conjugate acid: Species formed after base accepts a proton Conjugate base: Species remaining after an acid donates its proton Conjugate acid-base pair: an acid and base on opposite sides of the equation that correspond to each other Examples: HNO3 + H2O acid base H3O+ + NO3acid Conjugate pairs: HNO3 and NO3H2O and H3O+ base Example: HS- + H2O H3O+ + S2Conjugate pairs: HS- and S2H2O and H3O+ Practice: HClO4 + H2O H3O+ + ClO4What are the conjugate pairs? HClO4 and ClO4H2O and H3O+ gain of H+ H Br acid + H2O base Br− base + H3O+ acid loss of H+ •HBr and Br− are a conjugate acid–base pair. •H2O and H3O+ are a conjugate acid–base pair. Note: The net charge must be the same on both sides of the equation. Water can act as both an acid and a base (amphiprotic)! HClO4 + H2O H3O+ + ClO4 (base) NH3 + H2O OH- + NH4+ (acid) Strengths of Acids and Bases Strong acids/bases: dissociate completely when dissolved in solution Weak acids/bases: dissociate only partially when dissolved in solution Examples: Strong Acid: HCl H+ + Cl- (100% dissociation) Strong Base: NaOH Na+ + OH (100% dissociation) Weak Acid: CH3COOH H+ + CH3COO- (1.3% dissociation) Weak Base: NH3 + H+ NH4+ Table 9.1 Naming Acids Binary Acids: hydo + root of anion + ic + “acid” ex. HCl hydrochloric acid, HBr hydrobromic acid HI Hydroiodic acid Polyatomic-based Acids: root of polyatomic ion + ic + “acid” ex. H2SO4 sulfuric acid, H3PO4 phosphoric acid H2CO3 carbonic acid HNO3 nitric acid The Self-Ionization of Water H2O + H2O H3O+ + OHPure water: [H3O+]=[OH- = 10-7 M (at 250C) Neutral Solution: Any solution in which the concentrations of H3O+ and OH- ions are equal (10-7 M) Acidic Solution: Solutions having a greater concentration of H3O+ than OH- ions ([H3O+] greater than 10-7 M) Example: A solution with [H3O+] = 10-5 M Basic Solution: solution having a greater concentration of OH- than H3O+ions ([H3O+] less than 10-7 M) Example: A solution with [H3O+] = 10-12 M The pH Scale pH is a measure of acidity Scale ranges from 0-14 pH = 7 Neutral pH < 7 Acidic pH > 7 Basic pH represents the concentration of H+ ions in solution Pure water: 1 x 10-7 moles H+ per liter and1 x 10-7 moles OH- per liter Solutions with equal concentrations of and ions are called Neutral Solutions with more than 1 x 10-7 moles H+ per liter are Acidic Solutions with less than 1 x 10-7 moles H+ per liter are Basic Note: [H+] x [OH-] = 10-14 (always!) pH Scale Summary pH scale refers to amount of H+ ions in solution pH 7 is neutral, less than 7 is acidic, greater than 7 is basic Lower pH = more acidic = more H+ ions Higher pH = more basic = less H+ ions Each pH unit represents a 10-fold change in H+ ion concentration! pH 4 has 10 times more H+ ions than pH 5 pH 9 has 10 times fewer H+ ions than pH 8 Mathematical equation for pH: pH is the negative log of the H3O+ concentration pH = -log [H3O+] pH = -log [H3O+] Any number can be expressed as 10 raised to some exponent: y = 10x Examples: 100 = 10 2 1000 = 103 0.10 = 10 -1 The log is that exponent! 100 = 10 2; Log of 100 =2 1000 = 103; Log of 1000 = 3 0.10 = 10 –1; Log of 0.10 = -1 We can also take the log of non-whole numbers, but we use our calculators for this. Example: Find the log of 2.4 x 10-3 Enter 2.4 x 10-3into calculator Press the “log” key 0.0024 “log” = -2.62 Therefore, 10-2.62 = 2.4 x 10-3 Calculating pH from [H3O+] pH = -log [H3O+] Enter [H3O+] into calculator Press the “log” key Change the sign Example: [H3O+] = 1.0 x 10-7 M pH = -log [H3O+] pH = -log [1 x 10-7] = 7 Example: [H3O+] = 1 x 10-11M pH = -log [H3O+] pH = -log [1 x 10-11] = 11 Example: [H3O+] = 1 x 10-3 M pH = -log [H3O+] pH = -log [1 x 10-3] = 3 Example: [H3O+] = 4.2 x 10-5 pH = -log [H3O+] Enter [H3O+] into calculator (4.2 x 10-5) Press the “log” key (-4.3767507) Change the sign (4.3767507) pH = 4.3767507 = 4.4 Example: [H3O+] = 8.1 x 10-9 pH = -log [H3O+] Enter [H3O+] into calculator (8.1 x 10-9) Press the “log” key (-8.091515) Change the sign (8.091515) pH = 8.091515 = 8.1 Reactions Between Acids and Bases Neutralization: reaction between an acid and a base; always produces salt and water Example: Write a balanced equation for the reaction of hydrochloric acid with sodium hydroxide. HCl(aq) + NaOH(aq) H—OH(l) + NaCl(aq) Example: Write a balanced equation for the reaction of hydrochloric acid with magnesium hydroxide. 2 HCl + Mg(OH)2 2 H2O + MgCl 2 Titration Titration: a technique used to determine the concentration of an acid or base in a solution •If we want to know the concentration of an acid solution, a base of known concentration is added slowly until the acid is neutralized. •When the acid is neutralized: # of moles of acid = # of moles of base •This is called the end point of the titration. Acid-Base Titration • Titration is a laboratory procedure Base used to determine the molarity of an (NaOH) acid. • In a titration, a base such as NaOH is added to a specific volume of an acid. Acid solution • A few drops of an indicator is added to the acid in the flask. • The indicator changes color when the base (NaOH) has neutralized the acid. • At the end point, the indicator has a permanent color. • The volume of the base used to reach the end point is measured. • The molarity of the acid is calculated using the neutralization equation for the reaction. Determining an unknown molarity from titration data requires three operations: mole–mole conversion factor Moles of base M (mol/L) conversion factor [1] Volume of base solution [2] Moles of acid [3] Molarity of acid solution M (mol/L) conversion factor HOW TO Determine the Molarity of an Acid Solution from Titration Example: What is the molarity of an HCl solution if 22.5 mL of a 0.100 M NaOH solution are needed to titrate a 25.0 mL sample of the acid? volume of base (NaOH) 22.5 mL conc. of base (NaOH) 0.100 M volume of acid (HCl) 25.0 mL conc. of acid (HCl) ? Step [1] Determine the number of moles of base used to neutralize the acid. M (mol/L) conversion factor Volume of base solution 22.5 mL NaOH x 1L x 1000 mL mL–L conversion factor 0.100 mol NaOH 1L = 0.00225 mol NaOH Step [2] Determine the number of moles of acid that react from the balanced chemical equation. HCl(aq) + NaOH(aq) 0.00225 mol NaOH x H2O(l) + NaCl(aq) 1 mol HCl 1 mol NaOH mole–mole conversion factor = 0.00225 mol HCl Step [3] M = Determine the molarity of the acid from the number of moles and the known volume. mol L = 0.00225 mol HCl 25.0 mL solution x 1000 mL 1L mL–L conversion factor = 0.0900 M HCl Answer Buffers Buffer: a solution whose pH changes very little when acid or base is added. Most buffers are solutions composed of roughly equal amounts of •a weak acid •the salt of its conjugate base The buffer resists change in pH because •added base, −OH, reacts with the weak acid •added acid, H3O+, reacts with the conjugate base Buffers contain 2 compounds: Compound with the ability to react with H+ ions Compound with the ability to react with OH- ions Example: HCO3- + H+ H2CO3 If acids (H+) are added, react with HCO3H2CO3 + OH- HCO3- + H2O If OH- ions are added, react with H2CO3 H2CO3 is unstable: H2CO3 H2O + CO2 More Examples of a Buffer If an acid is added to the following buffer equilibrium, Adding more product… CH3COOH + H2O H3O+ + CH3COO− conjugate base weak acid …drives the reaction to the left. then the excess acid reacts with the conjugate base, so the overall pH does not change much. If a base is added to the following buffer equilibrium, Adding more reactant… CH3COOH + −OH H2O + CH3COO− conjugate base weak acid …drives the reaction to the right. then the excess base reacts with the weak acid, so the overall pH does not change much.