Chapter 3 Acids and Bases A substance can be classified as an acid or a base depending on certain properties. There are several theories to define and classify acids and bases that includes: 1. Arrhenius Acid-base theory 2. Bronsted-Lowry Acid Base theory 3. Lewis Acid Base theory 4. Solvent System Acid Base Every theory of acid and base shows some advantages and some limitations to overcome; the drawback of each theory. 1. Arrhenius Acids and Bases An Arrhenius acid is a substance that dissociates to give hydrogen ions (H+ ) when dissolved in water. HCl (g) + H2O H+(ag) + Cl-(ag) An Arrhenius base is a substance that dissociates in to hydroxyl ions (OH- ) when dissolved in water NaOH + H2O Na+(ag) + OH-(ag) Some typical Arrhenius acids are HCI, HNO3, and HCN, and some typical bases are NaOH, KOH, and Ba(OH)2. 2 Limitation of the Arrhenius theory a) Acidic property of salts such as AlCl3 is ignored b) The theory defined an acid or a base in terms of hydrogen or hydroxyl compounds only. It does not explain many substances that are bases with out having hydroxyl (OH-) group Example. Weak base ammonia (NH3) c) The theory does not include non-aqueous solvents. Acid-base reactions could take place in non-aqueous media (ammonia, sulfur trioxide) 3 2. Bronsted-Lowry Acids –Bases Theory In the Bronsted-Lowry definition: Acid is a proton(hydrogen ion) donor where as base is a proton (hydrogen ion ) acceptor A Bronsted-Lowry acid base reaction results in the transfer of a proton from an acid to a base 4 Examples 5 Acid-Conjugate base and Base-conjugate acid pairs According to Lowry and Brønsted, when acid reacts with a base, there are two conjugate acid base pairs i.e., for every acid there exists a base which is produced when the acid loses its proton and for every base there exists an acid which is produced when the base accepts proton. An acid is one proton (hydrogen ion, H+) than its conjugate base and a base is one proton less than its conjugate acid. H2SO4 and HSO4- are acid-base conjugate pair; and NH4+ and NH3 are acid- base conjugate pairs. The strong acid , the weak its conjugate base and vice verse 6 Molecules or ions that can lose as well as accept proton are called amphoteric substances. Example: Water This concept can explain the acidic/basic nature of a substance in aqueous (H2O) as well as in other protonic solvents like liq. NH3, liq. HF. Limitations This concept cannot explain the acidic character of non-protonic acids (which cannot give a proton).BF3, AlCl3, etc. This concept cannot explain a number of acid – base reaction which take place in the absence of the solvent or without proton transfer. 7 Lux-Flood concept According to Lux-Flood concept, the base is an oxide donor and the acid is an oxide acceptor. Lux-Flood definition is useful for limited systems such as high temperature reaction involving molten oxides and anhydrous reaction 8 3. Solvent System Acid Base concept According to this concept, the solvents usually undergo self ionization (auto-ionization) and give rise to cations and anions which are called solvent cations and solvent anions, respectively. According to this concept : Acid is defined as a substance which, either by direct dissociation or by reaction with the solvent gives the cation characteristic of that solvent Base is defined as a substance, which either by direct dissociation or by reaction with the solvent gives the anion characteristic of that solvent. 9 For example, the characteristic cation and anion of H2O are H3O+ and OH– respectively: H2O(l)+H2O(l)→H3O+(aq)+OH−(aq) Thus, all the compounds which produce H3O+ ions in H2O will act as acids and all the compounds which produce OH– ions in H2O will act as bases. 2NH3(l) ⇌NH4+ + NH2− 2H2SO4(l) ⇌H3SO4+ + HSO4− The solvent system definition also allows for autoionizations which involve the transfer of an ion other than hydrogen. For example 2BrF3(l) ⇌BrF2+ + BrF4− 10 HCl is an acid in water since it increases the concentration of H3O+ when it dissociates: HCl(aq) + H2O(l) → H3O+(aq) + Cl−(aq) HCl also acts as an acid in liquid ammonia since it gives NH4+ ion on dissociation. HClacid + NH3(l)→NH4+ + Cl− Antimony pentaflouride acts as an acid in liquid BrF3 since it abstracts a flouride to give BrF2+. SbF5 acid +BrF3(l) ⇌ SbF-6 +BrF+2 11 In contrast the flouride ion of potassium flouride acts as a base since it adds to BrF3 to gives BrF4−. KF base + BrF3(l) ⇌ K+ + BrF−4 Acid is any substance that increases the concentration of the solvent cations normally produced by solvent autoionization. base is any substance that increases the concentration of the solvent anions normally produced by solvent autoionization The definition of acids and bases can be used for both protonic (e.g. H2O, NH3 etc.) as well as non-protonic solvents The definition is applicable for aqueous (H2O) as well as nonaqueous solvents (NH3, HF, H2SO4 etc). 12 • Limitations Acid base reaction taking place in the absence of a solvent can’t be explained, i.e., acid-base reaction takes place only in presence of solvent. The concept can’t account for the acid-base reaction occurring in nonionizing solvents like C6H6, CHCl3 etc. 13 4. Lewis Acids and Bases Theory According to this theory: Acid is an electron pair acceptor and Base is electron pair donor. This concept includes the reactions in which no protons are involved and the reactions which take place in absence of solvent Lewis acids are substances which are electron-deficient (or low electron density) known as electrophiles. Contain vacant orbitals Lewis bases are substances which are electron-rich (or high electron density) - known as nucleophiles. Contain lone pair of electrons Several categories of substances can be considered as Lewis acids: positive ions; having less than a full octet in the valence shell, expandable valence shells. 14 a) Cations : cations are regarded as lewis acids. The strength of these cations in general, increase with decrease in ionic radius and increase in the positive charge carried by the cation Examples H+, Mn2+, Al3+, Fe2+ are Lewis acids. (b) Electron Deficient Compounds All molecules which have a central atom with an incomplete octet act as lewis acids. For example – BF3, AlCl3 etc. 15 (c) Molecules with Central Atom Containing Vacant dorbitals : All molecules which have central atom with vacant d-orbitals, can extend their valence. For e.g. SiF4, SnCl4, SbF5, Several categories of substances can be considered Lewis bases: a) Neutral molecules with lone pair of electrons and double bonds :NH3, H2O, ROH (b) All anions like F−, OH−, CN−, etc . 16 The Hard-Soft Acid-Base Principle (HSAB) In coordination chemistry, metal ions and ligands have been seen to have preferential affinity for particular ligands and metal ions respectively. Depending upon this tendency Pearson classified metal ions and ligands into hard and soft acids and bases. He divided chemical elements into groups according to acidbase (electron pair acceptor –donor) properties of their atoms or common ions. a) Hard Acids : These are the metal ions which are small in size, have high positive charge. These metal ions include H+ ,cations from groups 1, 2 and light transition and inner transition metals. d-orbitals are either vacant or non-existent 17 (c) Soft Acids: These are the metal ions which are large in size and usually of low charge These are mostly heavy metal ions generally associated with low (or even zero) positive oxidation state. a) Hard Bases: these are the anions or neutral molecules which are having high electronegativity and relatively small size . Example: O2- , CO32(d) Soft Bases :These are the anions or neutral molecules , donor atom of easily oxidized , low electronegativity . E.g ( 18 19 Principle of Hard and Soft Acids and Bases According to this principle, hard acids prefer to combine with hard bases and soft acids prefer to combine with soft bases to form stable products. Hard –soft acid base or soft – hard acid base combinations yield comparatively less stable product The guiding principle regarding the interaction of electron pair donors and acceptors is that the most favorable interactions occur when the acid and base have similar electronic character 20 Some Applications of HSAB Principle: to explain the relative stability of complexes. For example , AgI2- is stable, AgF2- but does not exist. Why? Soft acid-soft base interaction yields stable complex. used to predict the existence of certain metal ores. Example, hard acids like Mg2+, Ca2+ and Al3+ exist as oxides or carbonates, because oxides and carbonates are hard bases. Where as soft acids like Ag+, Cu+ and Hg2+ exist as sulphides, because sulphide is a soft base. used to predict the feasibility of reaction between two compounds. Example, Hg(OH)2 dissolves readily in acidic aqueous solution, but HgS does not. Hg(OH)2 is a product of soft acid-hard base combination, so it is unstable and dissociates readily. Whereas HgS is a product of soft acid-soft base combination. Hence it is stable & does not dissociate easily. 21 Relative strengths of acids and bases Higher the values of Ka and Kb, stronger the acid or base Acid strength is the tendency of an acid to donate a proton. The more readily a compound donates a proton, the stronger an acid it is. Acidity is measured by an equilibrium constant. When a Brønsted-Lowry acid H—A is dissolved in water, an acidbase reaction occurs, and an equilibrium constant can be written for the reaction 22 Because the concentration of the solvent H2O is essentially constant, the equation can be rearranged and a new equilibrium constant, called the acidity constant, Ka, can be defined It is generally more convenient when describing acid strength to use “pKa” values than Ka values. The larger the Ka value the stronger the acid. The larger Pka value the weaker the acid! 23 Selected values 24 Relative Strengths Of Binary Acids H –X Electronegativity and size of element effect The greater the tendency for the transfer of a proton from HX to H2O, the more the forward reaction is favored and the stronger the acid In a periodic group: The strength of binary acids increase from top to bottom in a group of the periodic table. Anion radius is directly proportional to acid strength. The larger the resultant anion’s radius, the stronger is the acid negative charge is stabilized when it is spread over a larger volume. 25 Bond dissociation energy: the weaker the bond, the stronger the acid. Bond dissociation energy 569 > 431 > 368 > 297 (kJ/mol) HF HCl HBr HI Acid strength Ka 6.6x10-4 < ~106 < ~108 < ~109 Anion radius: the larger the anion’s radius, the stronger the acid. Anion radius (ppm) 136 < 181 < 195 < 216 (kJ/mol) HF HCl HBr HI Acid strength Ka 6.6x10-4 < ~106 < ~108 < ~109 Size determines acidity down a column. The larger the size of X the stronger acid 26 In a period: Across a row of the periodic table, the acidity of H—X increases as the electronegativity of X increases The larger the electronegativity difference between H and X, the more easily the proton is removed and the stronger is the acid. The strengths of binary acids increase from left to right across a period of the periodic table. Acid strength CH4 < NH3 < H2O < HF Electronegativity : It is the relative tendency of an atom in a molecule to attract a shared pair of electrons towards itself 27 Representative Trends in Strengths of Binary Acids 28 Strengths of Oxoacids As the electronegativity of the central atom (E) increases the acid strength increases. Electronegativity Acid strength Ka 2.5 < 2.8 < HOI HOBr 2.3x10-11 < 2.5x10-9 < 3.0 HOCl 2.9x10-8 HClO4 > HClO3 > HClO2 > HOCl In HClO4, the presence of maximum number of electronegative oxygen atoms increases its acidity. The other reason for the highest acidity of HClO4 is that the negative charge after removing hydrogen can distribute over four oxygen atoms. 29 O Strengths of Carboxylic Acids R C O H Carboxylic acids all have the -COOH group in common; therefore, differences in acid strength must come from differences in the R group attached to the carboxyl group. In general, the more that electronegative atoms are attached in the R group, the stronger the acid. I-CH2CH2COOH Cl-CH2CH2COOH CH3-CHClCOOH CH3CCl2COOH Ka 8.3x10-5 < 1.0x10-4 < 1.4x10-3 < 8.7x10-3 30 Inductive effect (I-effect) The strength of acids and bases can be explained by inductive effect. the inductive effect in a molecule is a local change in the electron density due to electron-withdrawing or electron-donating groups elsewhere in the molecule In case of electronegative groups, due to –I effect, availability of electrons on the central atom decreased and thus, basicity of a base decreased. Electron donor groups (+I effect) like methyl (-CH3) group, increase electron density on central atom, thus, increase its basicity PF3 is weaker base than PH3. Base strength order NHMe2 > NH2Me > NH3. 31