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Analytical Chemistry. Neutral Titration. Introduction.
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Analytical Chemistry Neutral Titration
Introduction • Neutral titrations are considered the most volumetric analysis titrations practiced since they feature high accuracy and precision along side being quick and easy to practice. Hence, it has been used to estimate a number of organic and inorganic substances that feature acidic or basic qualities. • These titrations produce water and salt. The salt might be of a neutral effect. Therefore, the eq. point is situated in a neutral medium. It also might be of an acidic effect as a result of a weak base titration such as titrating ammonia with NH4Cl which forms ammonium, that contains an acid which leaves the eq. point in the acidic portion. The eq. point can also be situated in an alkaline medium like, the titration of a weak acid such as acetic acid with sodium hydroxide, then sodium acetates are formed which provide acetates of a base effect.
1. Titrating a strong acid with a strong base and vice versa • Titrating a strong acid with a strong base: Fore.g. titrating HCl with sodium hydroxide. Such titration characterizes by the enormous changes in the pH units around the eq. point. HCl + NaOH NaCl + H2O H+ + OH- H2O this reaction is almost complete: Keq = [H2O] = 1 = 1 x 10-14 Kw 1 x 10-14
12 10 8 6 4 2 0 0.1 M 0.01 M 0.001 M Ph.Ph pH BcP 0.001 M MO 0.01 M 0.1 M NaOH (ml) A. Titrating a strong acid with a strong base:
0.1 M 12 10 8 6 4 2 0 0.001 M pH 0.001 M 0.1 M HCl (ml) B. Titrating a strong base with a strong acid:
2. Titrating a weak acid with a strong base and vice versa: • Titrating a weak acid with a strong base: Here, we obtain eq. point when the weak acid HA converts to NaA where the anion A- works as a base: A- + H2O OH- + HA Therefore, the eq. point will take place in the basic portion. For e.g. titrating 100 ml of the acid HA with the concentration of 0.1 molar and the contuent dissociation Ka = 10-5, with sodium hydroxide concentration 0.1 molar. • pH before addition • Before eq. point • At eq. point • After eq. point
A. Titrating a weak acid with a strong base • pH before addition: We can determine the hydrogen ion concentration of the weak acid solution as following: [H+] = Ka Ca = 10-5 x 0.1 = 10-3 M pH = 3.00 • Before eq. point: This means that we are coming across a solution that contains a weak acid and its conjugate, so this solution is a buffer solution. If the amount of the added base was 10 ml that means that the produced salt: [NaA] = 10 x 0.1 = 9 x 10-3 M 100 + 10 and the remaining acid concentration: [HA] = 100 x 0.1 – 10 x 0.1 = 0.08M 100 + 10 [H+] = Ka x Ca Cs = 10 -5 x 0.8 = 8.9 x 10-5M 9 x 10-3 pH = 4.05
A. Titrating a weak acid with a strong base After adding 50 ml of the base, half the acid would be equivalent, and therefore the acid concentration would be equal to the produced salt concentration: [NaA] = 50 x 0.1 = 5 = 0.03 M 100 +50 150 [HA] = 100 x 0.1 – 50 x 0.1 = 5 = 0.03 M 100 + 50 150 [H+] = Ka = 10-5 pH = 5.00 which means: pH = pKa This means that the hydrogen ion concentration equals the acid contuent dissociation and that is when it is equal to the acid by 50% or what is called midpoint.
A. Titrating a weak acid with a strong base • At eq. point: The acid has transformed 100% to it’s salt NaA. Hence, the medium will be basic (because the salt is produced from the reaction between a weak acid and a strong base). [NaA] = 100 x 0.1 = 0.05 M 100 + 100 [OH-] = kw Cs = 10-14 x 0.05 = 7.1 x 10-6 M ka 10-5 pOH = 5.2 pH = 14 – 5.2 = 8.8
12 10 8 6 4 2 0 Ka = 10-9 Ka = 10-7 pH Ka = 10-5 Ka = 10-3 20 40 60 80 100 120 140 160 180 200 The titration percentage (%) The curves of titrating weak acids with sodium hydroxide solution A. Titrating a weak acid with a strong base • After eq. point: The medium will be a strong base and will calculate the pH within it by the knowledge of the added sodium hydroxide concentration, and will neglect the effect of the basic salt because of its weak contribution ( its constant dissociation to OH- equals 10-9) The following picture shows the change in pH with the titration progress. Observe how much pH changes at eq. point and its relation to the strength of the titrated acid.
Example 1 • Titrating NaOH with CH3COOH NaOH + CH3COOH CH3COONa + H2O • Before titration: weak acid solution pH = -log Ka Ca • Before eq. point: A solution containing (CH3COONa + CH3COOH) and it is a buffer solution pH = pKa + log Cs Ca Cs = mlNaOH MNaOH (R= 1) mlNaOH mlCH3COOH Ca = mlCH3COOH MCH3COOH - mlNaOH MNaOH mlNaOH + mlCH3COOH • At eq. point: A solution that contains (NaOH + CH3COONa) neglects the effect of the salt which is a weak base and is calculated as a NaOH solution: pOH = -log mlNaOH MNaOH - mlCH3COOH MCH3COOH mlNaOH mlCH3COOH
B. Titrating a weak base with a strong acid • This is the inverse curve of titrating a weak acid with a strong base. In this curve, the eq. point is in the acidic portion because the salt BHX is formed. It gives the kation BH+ which is of an acidic quality. BH+ + H2O B + H3O+ hence, the solution will obtain an acidic feature at eq. point. • The following picture shows such curves. It also shows the effect of the weak base constant dissociation value at the clarity of the end point (considering the number of pH units that change meanwhile) where the equilibrium constant of the reaction equals: keq = kb kw • To achieve the value 10-6 required in the equilibrium constant, kb must not be less than 10-8. Accordingly, weak bases with dissociated constants less than 10-8 can not be titrated.
Kb = 10-3 12 10 8 6 4 2 0 Kb = 10-5 Ph.Ph. Kb = 10-7 BcP pH Kb = 10-9 MO 20 40 60 80 100 120 140 160 180 200 The titration percentage (%) The curves of titrating weak bases with hydrochloric acid solutions B. Titrating a weak base with a strong acid
Example 2 • Titrating NH3 with HCl: HCl + NH3 NH4Cl (R = 1) the titration curve derivation is similar to the previous titration curve. • Before titration: weak base solution: pOH = -log kb Cb • Before eq. point: The solution (NH3 + NH4Cl) which is a buffer solution: pOH = pkb + log Cs Cb Cs = mlHCl MHCl mlNH3 + mlHCl Cb = mlNH3 MNH3 - mlHCl MHCl mlNH3 + mlHCl
Example 2 • At eq. point: Salt solution NH4Cl (weak acid) pH = - log kw Cs kb Cs = mlHCl MHCl = mlNH3 MNH3 mlHCl + mlNH3 mlNH3 + mlHCl • After eq. point: Solution (HCl + NH4Cl) is calculated based on the fact that it is a strong acid solution and neglects the effect of the salt NH4Cl. pH=-log mlHCl MHCl - mlNH3 MNH3 mlHCl + mlNH3
Example 2 • As we referred to before, when titrating a weak base with a strong acid, the pOH at mid-titration (at the titration of 50% of the base) is equal to pkb of the titrated base: kb = [OH-] [NH+4] [NH3] pkb = pOH • In conclusion, we realize the great importance of the titration curves which give us an idea about the reaction. It also helps in choosing the best evidence to recognize the end point.
The importance of evidence used in equilibrium titrations: Methyl orange evidence Color: basic yellow and acidic red Phenolphthalein Color: basic pink and the acidic medium is colorless