Classification of Reagents in Chemistry I: Acids and Bases



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University of Califnia, Davis F use with UC Davis Chem 8 and 118 Series Classification of Reagents in Chemistry I: Acids and Bases There are 3 definitions of acids and bases. All three are used in both general and ganic chemistry depending on the context. Acids and bases will undergo neutralization type reactions when mixed. The exact process of the neutralization depends on the type of acids/bases used. Arrhenius Acids and Bases: Arrheniusʼ definition of acids and bases is the most restrictive definition. But it does include all of the classic strong acids/strong bases we see in general chemistry, and most of the common acids and bases that function in water. Arrhenius Acids donate H + (hydrogen ion) in water and have H in their fmula. Arrhenius Bases donate OH - (hydroxide ion) in water and have OH in their fmula Neutralization mixing an acid and a base produces a salt and water. The net ionic equation f all Arrhenius neutralizations is fmation of H 2 O. HA (aq) + BOH (aq) BA (aq) + H 2 O (l) H + (aq) + OH - (aq) H 2 O (l) Strong vs. Weak Arrhenius acids and bases are often referred to as ʻstrongʼ ʻweakʼ. This refers to the amount of separation into ions in the aqueous solution. A ʻstrongʼ acid base is a strong electrolyte and fully dissociates into ions in aqueous solution. A ʻweakʼ acid base is a weak electrolyte and only partially dissociates into ions in aqueous solution. Common Strong Acids: HCl (aq), HBr (aq), HI (aq), HNO 3 (aq), HClO 4 (aq), H 2 SO 4 (aq) * Common Weak Acids: CH 3 COOH (aq), RCOOH (aq), HF (aq), HNO 2 (aq) H 3 PO 4 (aq), H 2 S (aq), HCN (aq) 1

University of Califnia, Davis F use with UC Davis Chem 8 and 118 Series Common Strong Bases: NaOH (aq), KOH (aq), LiOH (aq), RbOH (aq), CsOH (aq), Na 2 O (aq), K 2 O (aq) Common Weak Bases: Ba(OH) 2 (aq), Ca(OH) 2 (aq), Sr(OH) 2 (aq), NH 4 OH (aq) ** * H 2 SO 4 is a polyprotic acid, the first loss of H + is a strong acid (full dissociation in water), the second is a weak acid (only partial dissociation in water). ** NH 4 OH (aq) as such does not truly exist. The convention f writing NH 4 OH is a holdover from the iginal Arrhenius definition that requires the OH - in the fmula. In aqueous solution the weak base NH 3 (aq) is in equilibrium with NH 4 + (aq) and OH - (aq), and NH 4 OH (aq) as a species does not exist. Modern texts often simply write NH 3 (aq), but it is still traditionally considered as an Arrhenius base. Bronsted-Lowry Acids and Bases: Bronsted and Lowryʼs definition of acids and bases becomes me permissive by removing water as the solvent somewhat increasing what can be considered an acid and by greatly expanding what can be considered a base. This is the most commonly used definition of acids and bases in typical general and ganic chemistry classes. Bronsted-Lowry Acids donate H + (hydrogen ion) Bronsted-Lowry Bases accept H + (hydrogen ion) (Bases have some st of lone pair and can be neutral anions.) Neutralization Mixing an acid and a base produces a conjugate acid and a conjugate base. A conjugate pair differs by H+ the conjugate acid has an extra H + that the conjugate base lacks. Water is still often used as a solvent, but itʼs no longer the only possible solvent f an acid base reaction, and neutralization reactions can take place in any solvent even in gas phase. HA + B A - + HB + HA + B - A - + HB HA + + B A + HB + HA + + B - A + HB 2

University of Califnia, Davis F use with UC Davis Chem 8 and 118 Series Strong vs. Weak Bronsted-Lowry acids and bases are referred to as ʻstrongerʼ ʻweakerʼ rather than the absolutes of ʻstrongʼ and ʻweakʼ. We now have a continuous scale of strengths (pk aʼs) rather than a single differentiation point. Common Acids: HCl, H 2 SO 4, H 3 PO 4, HF, H 2 CrO 4, RCOOH, H 2 S, RNH 3 +, HCN, H 2 O, ROH, NH 3, R-NH 2 Common Bases: R-Li, NaNH 2, KH, RONa, NaOH, KCN, NaHCO 3, RCOONa, KHSO 4 NaCl Lewis Acids and Bases: Lewis Acids and bases become me permissive by no longer requiring there to be a hydrogen ion (H + ) transferred. Anything similar to H + is permitted to act as an acid, thus greatly expanding the definition of an acid. Anything that was a Bronsted-Lowry base is now still a Lewis base simply no longer required to accept only H +. Lewis Acids Accept a lone pair of electrons into an empty bital. (Acids are generally cations trigonal planer 6e - species). Lewis Bases Donate a lone pair of electrons into an empty bital. (Bases have some st of lone pair and can be neutral anions.) Neutralization Mixing an acid and a base produces a new covalent bond between the acid and the base. We fm an adduct. Neutralization reactions can take place in solution in gas phase and the solvent may may not be water. A + B A-B A + + B - A-B A + + B A-B + A + B - A-B - Strong vs. Weak The strength of Lewis acids and bases does not generally come up often in basic general ganic chemistry. Comparisons can be done by looking at the enthalpy of fmation of the adduct. A me exothermic reaction implies stronger acids/bases. 3

University of Califnia, Davis F use with UC Davis Chem 8 and 118 Series Common Acids: H +, Zn 2+, Fe 3+, CH 3 +, BH 3, BF 3, AlCl 3, FeBr 3. Common Bases: R-Li, NaNH 2, KH, RONa, NaOH, KCN, NaHCO 3, RCOONa, KHSO 4 NaCl Note: H + is considered a Lewis acid, but by strict definition HCl would not be! HCl simply produces the active H +. Note: The definition of what can be classified as a Lewis acid can be quite complicated, as few Lewis acids exist in pure fm outside of a gas phase. Modern understanding of Lewis acids and bases requires a discussion in molecular bital they that is beyond the scope of this course. E.g. BH 3 really exists as B 2 H 6 with bridging H between the two B atoms! 4

University of Califnia, Davis F use with UC Davis Chem 8 and 118 Series Classification of Reagents in Chemistry II: Dealing with pk a pk a and K a Generally acid strengths f Bronsted-Lowry (and Arrhenius) acids are written as K a (acid dissociation constant) pk a values and base strengths f Bronsted-Lowry (and Arrhenius) bases are written as K b (base dissociation constant) pk b values. Stronger acids have large K a and small pk a and stronger bases have large K b and small pk b. Most K a and K b are measured as the amount of dissociation in aqueous solution (itʼs still convenient) and the K a and K b of very strong very weak acids bases are extrapolated from dissociation measured in different solvents. Because there are many ders of magnitude to K a and K b generally the log (pk a /pk b ) scale is used. Dissociation Eqʼn Aqueous Dissociation Eqʼn Log Eqʼn K a = [H + ][A - ] / [HA] (K a = [H 3 O + ][A - ] / [HA][H 2 O]) pk a =-log(k a ) K b = [HB + ] / [H + ][B] (K b = [OH - ][HB + ] / [B][H 2 O]) pk b =-log(k b ) K a vs. K b There is a relationship between K a and K b in a conjugate pair, the stronger the acid the weaker the conjugate base and vice versa. A stronger acid wants to lose an H + so its conjugate base is weaker, the conjugate base is not eager to get the H + back (it just wked hard to lose it!). A weaker acid wasnʼt willing to lose H + in the first place so itʼs conjugate base will be willing to regain H + and its conjugate base will be stronger. The relationship between K a and K b can be seen by looking at K w (auto-ionization of water). K a x K b = ([H 3 O + ][A - ] / [HA][H 2 O]) x ([OH - ][HB + ] / [B][H 2 O]) If HA = HB + and A = = B as in a conjugate pair this equation can be simplified K a x K b = ([H 3 O + ]/[H 2 O]) x ([OH - ]/[H 2 O]) = [H 3 O + ][OH - ]/[H 2 O] 2 = K w (K w = 1.0x10-14 at 298 K) So regardless of which conjugate pair weʼre looking at: K a x K b = K w = 1.0x10 14 And thus as K a increases (stronger acid) K b decreases (weaker base). Most of the time in general and ganic chemistry we wk with the pk a value and extrapolate the pk b value only if necessary. 5

University of Califnia, Davis F use with UC Davis Chem 8 and 118 Series Strong vs. Weak. The terms strong and weak acids bases are often used with Arrhenius acids and bases. Where a strong acid base has nearly 100% dissociation into free ions in water and a weak acid base has only partial dissociation into free ions and the maj ption of the acid base stays molecular in solid fm if ionic. Strong acids will have a pk a < 0 and a K a > 1, while strong bases will have a pk b < 0 (pk a > 14) and a K b > 1. This is not to be confused with the similar terms stronger and weaker acids and bases that are used to compare the relative pk a pk b of Bronsted-Lowry acids and bases. An acid ( base) may be ʻstrongerʼ than another while both are still weak acids ( bases). E.g. HF (pk a = 3.2) is a stronger acid than HCN (pk a = 9.3), but both are weak acids with pk a > 0. One common source of confusion f ganic chemistry students is the new prevalence of strong bases. Bronsted-Lowry allows many me options f bases, quite a few of which are strong bases, but all strong bases do not have the same strength so sometimes a strong base is still not strong enough. E.g. Hydroxide ion (OH -, pk a of H 2 O = 15.7) is a strong base as is amide ion (NH 2 -, pk a of NH 3 = 36), however hydroxide ion is not a strong enough base to deprotonate ammonia to fm amide ion. 6