2.7 Acids and Bases: The Brønsted-Lowry Definition Two frequently used definitions of acidity • The Brønsted-Lowry definition Lewis definition Brønsted-Lowry acid • A substance that donates a hydrogen ion (proton; H+) to a base Brønsted-Lowry base • A substance that accepts a hydrogen ion (proton; H+) from an acid • Acids and Bases: The Brønsted-Lowry Definition Conjugate acid • The product that results from protonation of a Brønsted-Lowry base Conjugate base • The anion that results from deprotonation of a Brønsted-Lowry acid In a general sense Acids and Bases: The Brønsted-Lowry Definition Water can act either as an acid or as a base 2.8 Acid and Base Strength Acids differ in their ability to donate H+ • The exact strength of a given acid, HA, in water solution is described using the equilibrium constant Keq for the acid-dissociation equilibrium A- + H3O+ HA + H2O Keq = H3O+ AHA H2O Acid and Base Strength The concentration of water, [H 2O], remains nearly constant at 55.5 M at 25 C • Can rewrite equilibrium expression using new quantity called the acidity constant Ka Acidity constant Ka • A measure of acid strength in water • For any weak acid HA, the acidity constant is given by the expression Ka HA + H2O Ka = Keq H2O = A- + H3O+ H3O+ AHA Acid and Base Strength HA + H2O A- + H3O+ • Equilibria for stronger acids favor the products (to the right) and thus have larger acidity constants • Equilibria for weaker acids favor the reactants (to the left) and thus have smaller acidity constants Acid strengths are normally expressed using pKa values pKa • The negative common logarithm of the Ka pKa = -log Ka • Stronger acids (larger Ka) have smaller pKa • Weaker acids (smaller Ka) have larger pKa Acid and Base Strength Acid and Base Strength Self ionization of water H2O + H2O ⇄ OH- + H3O+ (acid) (solvent) Ka [H3 O ][A ] [H3 O ][OH ] [HA] [H2 O] [H3O+][OH-] = [1.0 x 10-7][1.0 x 10-7] = Kw = ion product constant for water • Kw = 1.00 x 10-14 • [H2O] = 55.4 M at 25.0 C [ Kw ] [1.0 10-14 ] 1.81 10-14 [H2 O] 55.4 pKa 15.74 Ka Acid and Base Strength • Strong acid (BrØnsted-Lowry) • One that loses H+ easily • Conjugate base holds on to the H+ weakly (weak base) • Strong acid has weak conjugate base • Weak acid (BrØnsted-Lowry) • One that loses H+ with difficulty • Conjugate base holds on to the H+ strongly (strong base) • Weak acid has strong conjugate base 2.9 Predicting Acid-Base Reactions from pKa Values • An acid will donate a proton to the conjugate base of a weaker acid • The conjugate base of a weaker acid will remove the proton from a stronger acid Predicting Acid-Base Reactions from pKa Values • Product of conjugate acid must be weaker and less reactive than the starting acid • Product of conjugate base must be weaker and less reactive than the starting base Worked Example 2.4 Predicting Acid Strengths from pKa Values Water has pKa = 15.74, and acetylene has pKa = 25. Which is the stronger acid? Does hydroxide ion react with acetylene? Worked Example 2.5 Calculating Ka from pKa According to the data in Table 2.3, acetic acid has pKa = 4.76. What is its Ka? 2.10 Organic Acids and Organic Bases Most biological reactions involve organic acids and organic bases Organic acid • • Positively polarized hydrogen atom Two main kinds of organic acids 1. Contains a hydrogen atom bonded to an oxygen atom (O-H) 2. Contains a hydrogen atom bonded to a carbon atom next to a C=O double bond (O=C-C-H) Organic Acids and Organic Bases Conjugate base • Anion stabilized by having its negative charge on a highly electronegative atom • Anion stabilized by resonance Methanol Acetic Acid Acetone Organic Acids and Organic Bases • Conjugate bases from methanol, acetic acid, and acetone • The electronegative oxygen atoms stabilize the negative charge in all three Organic Acids and Organic Bases Carboxylic acids • Contain the –CO2H grouping • Occur abundantly in all living organisms • Involved in almost all metabolic pathways • At cellular pH of 7.3 carboxylic acids are usually dissociated and exist as their carboxylate anions, –CO 2 Organic Acids and Organic Bases Organic bases • Characterized by the presence of an atom with a lone pair of electrons that can bond to H+ • Nitrogen-containing compounds are common organic bases and are involved in almost all metabolic pathways • Oxygen-containing compounds can act both as acids and as bases 2.11 Acids and Bases: The Lewis Definition The Lewis definition is broader than the Brønsted-Lowry definition Lewis acid – an electrophile • A substance with a vacant low energy orbital that can accept an electron pair from a base • All electrophiles are Lewis acids Lewis base – a nucleophile • • A substance that donates an electron lone pair to an acid All nucleophiles are Lewis bases Acids and Bases: The Lewis Definition Lewis Acids and the Curved Arrow Formalism • To accept an electron pair a Lewis acid must have either: • A vacant, low-energy orbital • A polar bond to hydrogen so that it can donate H+ • Various metal cations, such as Mg2+, are Lewis acids because they accept a pair of electrons when they form a bond to a base Acids and Bases: The Lewis Definition • Compounds of group 3A elements, such as BF 3 and AlCl3 are Lewis acids • Have unfilled valence orbitals and can accept electron pairs from Lewis bases • Many transition metals, such as TiCl4, FeCl3, ZnCl2, and SnCl4 are Lewis acids Acids and Bases: The Lewis Definition Curved arrow formalism • • • Indicates the direction of electron flow from the base to the acid Always means that a pair of electrons moves from the atom at the tail of the arrow to the atom at the head of the arrow For the reaction of boron trifluoride, a Lewis acid, with dimethyl ether, a Lewis base. All movement of electrons from the Lewis base to the Lewis acid is indicated by a curved arrow Acids and Bases: The Lewis Definition Further examples of Lewis acids Acids and Bases: The Lewis Definition Lewis bases • A compound with a pair of nonbonding electrons that it can use in bonding to a Lewis acid • Definition of Lewis base similar to Brønsted-Lowry definition • H2O acts as a Lewis base • Has two nonbonding electrons on oxygen Acids and Bases: The Lewis Definition • Most oxygen- and nitrogen- containing organic compounds are Lewis bases • They have lone pair electrons Acids and Bases: The Lewis Definition • Some compounds can act as both acids and bases • Some compounds have more than one atom with a lone pair of electrons • • • Reaction normally occurs only once in such instances The more stable of the two possible protonation products is formed Occurs with carboxylic acids, esters, and amides Worked Example 2.6 Using Curves Arrows to Show Electron Flow Using curved arrows, show how acetaldehyde, CH3CHO, can act as a Lewis base.