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ACID-BASE EQUILIBRIUM
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Arrhenius Theory Acids – are solutes that produce hydrogen ions H + in aqueous solutions ex. HCl (aq) H + (aq) + Cl - (aq) Bases – are solutes that produce hydroxide ions, OH - in aqueous solutions ex. NaOH (s) Na + (aq) + OH - (aq) Bronsted-Lowry Theory A Bronsted-Lowry acid is a proton donor A Bronsted-Lowry base is a proton acceptor WHAT IS AN ACID AND A BASE?
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Arrhenius Acids HBr (aq) H + (aq) + Br - (aq) H 2 SO 4(aq) H + (aq) + HSO 4 - (aq) HClO 4(aq) H + (aq) + ClO 4 - (aq) Arrhenius Bases LiOH (aq) Li + (aq) + OH - (aq) KOH (aq) K + (aq) + OH - (aq) Ba(OH) 2(aq) Ba 2+ (aq) + 2OH - (aq)
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The Salt problem: The theory failed to account for the basic properties of compounds that do not contain the hydroxide ion, such as ammonia (NH 3(aq) ) NH 3(g) + H 2 O (l) NH 4 + (aq) + OH - (aq) The Solvent Problem The theory failed to account for a solvent’s key role in acid-base properties -for example, the aqueous solution of hydrogen chloride (hydrochloric acid) conducts electricity, while hydrogen chloride in an organic solvent does not [therefore, latter solution does not contain ions]. - The solvent plays a key role in acid-base properties. PROBLEMS WITH ARRHENIUS THEORY
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\ Acid (H + donor) HCl (g) + H 2 O (l) H 3 O + (aq) + Cl - (aq) Base (H + acceptor) BRONSTED-LOWRY THEORY
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H + donor (acid) H + acceptor (base)
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H + donor (acid) H + acceptor (base)
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** A substance can be classified as a Bronsted-Lowry acid or base only for a specific reaction Protons may be gained in a reaction with one substance, but lost in a reaction with another H 2 O (l) + H 2 O (l) H 3 O + (aq) + OH − (aq) Water is amphoteric, meaning it can act as both an acid and a base. one molecule of water acts as an acid, donating a H+ ion and forming the conjugate base, OH -, and a second molecule of water acts as a base, accepting the H + ion and forming the conjugate acid, H3O +. AMPHOTERIC H + acceptor (base) H + donor (acid)
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According to the Bronsted-Lowry concept, acid-base reactions involve the transfer of a proton Usually reversible and result in an acid-base equilibrium Every base has a corresponding acid (conjugate acid) and every acid has a corresponding base (conjugate base) Two molecules or ions that are related by the transfer of a proton are called a conjugate acid-base pair. Conjugate acid-base pairs differ in formula by one hydrogen ion H 2 SO 4 – HSO 4 - H 2 O – OH - CONJUGATE ACID-BASE PAIRS
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COMMON CONJUGATE ACID-BASE PAIRS
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The stronger the acid, the weaker its conjugate base, and conversely, the weaker an acid, the stronger its conjugate base. Acid-base reactions – competition for protons between two bases Acetic acid equilibrium – between acetate and water CH 3 COOH (aq) + H 2 O (l) ↔ CH 3 COO - (aq) + H 3 O + (aq) Ability of acetate ion to hold on to its proton (H + ion) is much higher than the ability of H 2 O to pull the proton away Percent ionization Is low Equilibrium lies far left – acetic acid is a weak acid (acetate ion is a strong base!) A COMPETITION FOR PROTONS
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Autoionization is when water molecules ionize one another. The transfer of a proton (H + ) from one molecule of water to the other, producing a hydronimum ion (H 3 O + ) H 2 O (l) + H 2 O (l) H 3 O + (aq) + OH − (aq) Simplified into… H 2 O (l) H + (aq) + OH − (aq) AUTOIONIZATION OF WATER
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[H + (aq) ] = [OH - (aq) ] = pH 7 [H + (aq) ] > [OH - (aq) ] = low pH [H + (aq) ] < [OH - (aq) ] = high pH RECALL FROM GR. 11… NEUTRAL ACIDIC BASIC
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HClO 4(aq), HI (aq), HBr (aq), HCl (aq), HNO 3(aq), H 2 SO 4(aq), etc.. % ionization for strong acids > 99% [We assume 100% dissociation in calculations] STRONG ACIDS
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1. A 0.15 mol/L solution of hydrochloric acid at SATP. Calculate the concentration of the hydroxide ions using K w = [H + (aq) ][OH - (aq) ]. HCl (aq) H + (aq) + Cl - (aq) Hydrochloric acid is a strong acid – assume 100% ionization [*tiny contribution made by autoionization of water can be ignored] 1: 1: 1 mole ratio If [HCl (aq) ] = 0.15 mol/L then.. [H + ] = 0.15 mol/L @ SATP; K w = [H + (aq) ][OH - (aq) ] K w = 1.0 x 10 -14 [OH - (aq) ] = K w / [H + (aq) ] = 1.0 x 10 -14 / 0.15 mol/L = 6.7 x 10 -14 mol/L The concentration of hydroxide ions is 6.7 x 10 -14 mol/L.
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2. Calculate the hydroxide ion concentration in a 0.25 mol/L HBr (aq) solution. HBr (aq) H + (aq) + Br - (aq) Hydrobromic acid is a strong acid – assume 100% ionization [*tiny contribution made by autoionization of water can be ignored] 1: 1: 1 mole ratio If [HBr (aq) ] = 0.25 mol/L then.. [H + ] = 0.25 mol/L @ SATP; K w = [H + (aq) ][OH - (aq) ] K w = 1.0 x 10 -14 [OH - (aq) ] = K w / [H + (aq) ] = 1.0 x 10 -14 / 0.25 mol/L = 4.0 x 10 -14 mol/L The concentration of hydroxide ions is 4.0 x 10 -14 mol/L.
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LiOH (aq), NaOH (aq), KOH (aq_, RbOH (aq), CsOH (aq), etc.. Dissociate completely in water to release hydroxide ions All group 1 hydroxides are strong bases When dissolved in water, these bases produce 1 mole of hydroxide ion for every mole of metal hydroxide NaOH (aq) Na + (aq) + OH - (aq) STRONG BASES
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3. Determine the hydrogen ion and hydroxide ion concentration in 500.0mL of an aqueous solution, containing 2.6 g of dissolved sodium hydroxide. NaOH (aq) Na + (aq) + OH - (aq) m of NaOH (a) solute = 2.6g v of NaOH (aq) solution = 500.0 mL n = m/M = 2.6g / (40 g/mol) = 0.065 mol c = n/v = 0.065 mol / 0.5L = 0.13 mol/L 1 mol NaOH (aq) : 1 mol Na + (aq) : 1 mol OH - (aq) @ SATP; K w = [H + (aq) ][OH - (aq) ] K w = 1.0 x 10 -14 [H + (aq) ] = K w / [OH - (aq) ] = 1.0 x 10 -14 / 0.13 mol/L = 7.7 x 10 -14 mol/L The concentration of hydrogen ions is 7.7 x 10 -14 mol/L and the concentration of hydroxide ions is 0.13mol/L.
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pH: A way to express the ACIDITY/BASICITY of an aqueous solution the amount of hydronium ion H 3 O + in solution pH > 7 basic [H + (aq) ] < [OH - (aq) ] pH = 7 neutral [H + (aq) ] = [OH - (aq) ] pH [OH - (aq) ] pH = -log[H 3 O + ] [H 3 O + ] = 10 -pH 1. ) If [H 3 O + ] = 1.0 x 10 -7 mol/L, then pH is… pH = -log[H 3 O + ] = -log(1.0 x 10 -7 mol/L) = 7.0 [H + ] & PH
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2. Given the pH = 10.33, calculate the [H + (aq) ]. [H 3 O + ] = 10 -pH = 10 -10.33 = 4.7 x 10 -11 mol/L
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pOH = -log[OH - ] [OH - ] = 10 -pOH pH + pOH = 14 Can simplify pH calculation – if either pH/pOH is known, the other can be found! [OH - ] & POH
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Calculate the pH, pOH and [OH - (aq) ] of a 0.042mol/L HNO 3(aq) solution. HNO 3(aq) NO 3 - (aq) + H + (aq) 1:1:1 mole ratio [HNO 3(aq) ]= [H + (aq) ] = 0.042 mol/L pH = -log [H + ] = -log(0.042 mol/L) = 1.40 pH + pOH =14 pOH = 14 – pH = 14 – 1.40 = 12.60 [OH - ] = 10 -pOH = 10 -12.60 = 2.5 x 10 -13 mol/L The pH of the solution is 1.40; the pOH is 12.60; and the [OH - ] = 2.5 x 10 -13 mol/L.
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A solution was made by dissolving 0.627 g Ba(OH) 2 in 100.0 mL final volume. If Ba(OH) 2 is fully broken up into its ions, what is the pOH and the pH of this solution? G: 0.627 g of Ba(OH) 2 dissolved in 100.0 mL (final volume) M of Ba(OH) 2 = 171.63 g/mol R: pOH = ? pH = ? A: n = m / M, c = n/ v pOH = -log[OH - ], pH + pOH = 14 m = 6.27g/L x 0.1L = 0.627 g n = m / M = 0.627g / (171.63 g/ mol) = 0.00365 mol Ba(OH) 2 Ba 2+ + 2OH - Mole ratio 1 Ba(OH) 2 : 2OH - n of OH - = 2 x 0.00365 = 0.00731 mol [OH - ] = 0.00731mol/0.1L = 0.0731M pOH =-log [OH - ] = - log(0.0731) = 1.14 pH+pOH = 14 pH = 12.9 P: The solution has a final pOH of 1.14 and a final pH of 12.9.
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Pg. 532 #1, 2 Pg. 537 #4-6 Pg. 549 #17-19 HOMEWORK
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