Analytical Chemistry Lecture 4 PDF

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Al-Farahidi University

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complexometric titrations analytical chemistry chemical formulas lecture notes

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These are lecture notes on complexometric titrations suitable for an undergraduate analytical chemistry course at Al-Farahidi University. The notes cover topics on complex formation, coordination numbers, chelation, and EDTA, featuring chemical structures and formulas.

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Complexometric Titration The formation of Complexes Metals ions, especially transition metals, act as Lewis acids, because they accept electrons from Lewis bases When metal cations combine with Lewis bases, the resulting species is called a complex ion or coordination complex...

Complexometric Titration The formation of Complexes Metals ions, especially transition metals, act as Lewis acids, because they accept electrons from Lewis bases When metal cations combine with Lewis bases, the resulting species is called a complex ion or coordination complex Cu Cu(NH3)4+2 Cu(NH2CH2COO)2 CuCl4-2 Coordination Number The number of covalent bonds that a cation tends to form with electron donors is called coordination number. Common coordination numbers are 2, 4 and 6 The geometries of the ligands about the central atom are as shown A titration based on the formation of a coordination complex is known as a complexometric titration. Complex formation titrations are used to titrate cations via complex formation reagents. Complexometric titrations are particularly useful for the determination of a mixture of different metal ions in solution. A ligand is a neutral molecule or ion having alone pair that can be used to form a bond to a metal ion. The bonds are either ordinary covalent bonds in which the metal and the ligand contribute one electron each, or co-ordinate bonds in which both electrons are contributed by the ligand. Chelation Chelate : It is a complex formed between the ligand containing two or more donor groups and metal to form ring structure. (heterocyclic rings or chelate rings). Chelating agents: organic molecules containing two or more donor groups which combine with metal to form complex having ring structure. Chelates are usually insoluble in water but soluble in organic solvent. The solubility of metal chelates in water depends upon: the presence of hydrophilic groups such as COOH, SO3H, NH2 and OH, when both acidic and basic groups are present, the complex will be soluble over a wide range of pH. When hydrophilic groups are absent, the solubilities of both the chelating agent and the metal chelate will be low, but they will be soluble in organic solvents Sequestering agent : Ligands which form water soluble chelates (e.g. EDTA), they are used to liberate or solubilize metal ions. The agents which form water insoluble chelates are used to remove the metal ions from solution by precipitation. Types of complexing agents (( Classification of ligands according to the no. of sites of attachment to the metal ion )) Unidentate (Monodentate) Ligand or "Simple Ligand" The ligand attached to metal at one site e.g. H2O , NH3 , CN - , Cl - , I - , Br - , (i.e. forming one coordinate bond, or capable of donating one unshared pair of electrons) Bidentate Ligand The ligand attached to metal at two sites. NH2 NH2 H 2N H2C H2C CH2 2 + Cu2+ Cu H2C H2C CH2 NH2 NH2 H 2N Ethylene diamine Tridentate Ligand: The Ligand attached to metal at 3 sites Diethylene triamine Tetradentate Ligand: The Ligand attached to metal at 4 sites Triethylene tetramine Ethylenediaminetetraacetic Acid (EDTA) HOOC-H2C H H CH2-COOH N C C N HOOC-H2C CH2-COOH H H The EDTA molecule has six potential sites for bonding a metal ion: the four carboxyl groups and two amino groups. Acidic Properties of EDTA H H HOOC-H2C CH2-COOH N C C N H4Y HOOC-H2C CH2-COOH H H - OOC-H2C H H CH2-COOH + + H N C C N H - HOOC-H2C CH2-COO H H - H H OOC-H2C CH2-COOH + + H3Y- H N C C N H K1=1.02×10-2 - - OOC-H2C CH2-COO H H - OOC-H2C H H - CH2-COO + H N C C N H + H2Y-2 - OOC-H2C CH2-COO - K2=2.14×10-3 H H - H H - OOC-H2C CH2-COO + HY-3 N C C N H K3=6.92×10-7 - - OOC-H2C CH2-COO H H - OOC-H2C H H - CH2-COO N C C N Y-4 - - K4=5.5×10-11 OOC-H2C CH2-COO H H Reagent EDTA Disodium salt of EDTA is a water soluble chelating agent and is always preferred. It is non-hygroscopic and a very stable sequestering agent. 8-hydroxy quinoline a chelating agent that form an insoluble chelates with metal ion. EDTA has the widest general application because: 1. It has low price 2. The special structure, which has six ligands atoms 3. It forms strainless five-membered rings Factors influencing EDTA reactions A. The nature and the activity of metal ion: EDTA forms complexes with complexes with most cations in a 1:1 ratio, irrespective of the valency of the ion: M2+ + [H2X]2- [MX]2- + 2H+ M3+ + [H2X]2- [MX] - + 2H+ M4+ + [H2X]2- [MX] + 2H+ Factors influencing EDTA reactions B. Effect of pH: If the solubility product of the metal hydroxide is low, it may be precipitated if the hydroxyl ion concentration is increased too much. On the other hand, at lower pH values when the concentration of Y4- is lower, the stability constant of the complexes will not be so high. Complexes of most divalent metals are stable in ammonical solution. Those of the alkaline earth metals, such as Cu, Pb and Ni, are stable down to pH 3 and hence can be titrated selectively in the presence of alkaline earth metals. Trivalent metal complexes are usually still more firmly bound and stable in strongly acid solutions; for example, Co(III)-EDTA complex is stable in conc. HCl. Although most complexes are stable over a fair range of pH, solutions are usually bufferedat a pH at which the complex is stable and at which the colour change of the indicator is most distinct. Factors influencing EDTA reactions C. Effect of presence of interfering ions: There is always a change in the absorption spectrum when complexes are formed and this forms the basis of many colorimetric assays. D. Effect of organic solvents on complex stability: [𝑀𝑋] M + X MX 𝐾= 𝑀 [𝑋] High temperature causes a slight increasing in ionisation of the complex and lowering in stability constant (K). Presence of ethanol increases (K), due to suppression of ionisation. Presence of electrolytes having no ion in common with complex decreases (K). Factors affecting stability of complex [A]- Effect of central metal ion : (1)- Ionic size (metal radius): Smaller an ion (small radius of metal), greater its electrical field, more stable complex (2)- Ionic charge (metal charge): Metal of higher charge give more stable complexes. e.g. Ferricyanide [hexacyanoferrate III] is more stable than Ferrocyanide [hexocyanoferrate II]. (3)- Electronegativity : The higher acidity (electronegativity) of metal (Mn+), the higher stability of complex. (4)- Metal which has incomplete outer shell (has high acidity) have more tendency to accept electrons, more stable complex. e.g. Ca2+ , Ni2+ , Zn2+ , Mn2+ , Cu2+ [B]- Effect of Ligand: - Basic character: The higher the basicity (strong base is good electron donor), the higher the ability of ligand to form complex. e.g. ligand contain electron donating atom. e.g. N > O > S > I- > Br- > Cl- > F- - The extent of chelation: Multidentate ligands form more stable complexes than monodentate. - Steric effect: Large, bulky ligand form less stable complexes than smaller ones due to steric effect. e.g. ethylene diamine complexes are more stable than those of the corresponding tetramethyl ethylene diamine. Methods of end point detection Indicators Indicator is a dye which is capable of acting as a chelating agent to give a dye-metal complex. The latter is different in colour from the dye itself and also has a low stability constant than the chelate-metal complex. The colour of the solution, therefore, remains that of the dye complex until the end point, when an equivalent amount of sodium EDTA has been added. As soon as there is the slightest excess of EDTA, the metal-dye complex decomposes to produce free dye; this is accomplished by a change in colour. The concept of pM indicators If K is the stability constant, then, K= 𝑀𝑋 /[𝑀][𝑋] 𝑀 = 𝑀𝑋 / 𝑋 𝐾 log 𝑀𝑋 Or log [M]= − 𝑙𝑜𝑔𝐾 𝑋 log 𝑋 𝑝𝑀 = − 𝑝𝐾 if ( [X]=[MX] ) 𝑀𝑋 then 𝑝𝑀 = −𝑝𝐾 Or 𝑝𝑀 = 𝑝𝐾’ (𝑝𝐾’ is dissociation constant) This means that, in a solution containing equal activities of metal complex and free chelating agent, the concentration of metal ions will remain roughly constant and will be buffered in the same way as hydrogen ions in a pH buffer. In general, For chelating agents of the amino acid type (e.g., EDTA and ammonia triacetic acid), it may be said that when [X] = [MX], pM increases with pH until about pH 10, when it attains a constant value. This pH is, therefore, usually chosen for carrying out titrations of metals with chelating agents in buffered solutions. Metal indicators must comply with the following requirements: Metal-indicator complex must be less stable than the metal-EDTA complex. Binding between metal and indicator must not be too weak. It has to avoid EDTA replacing at the beginning of the titration. In general, the metal-indicator complex should be 10 to 100 times less stable than the metal-titrant complex. Colour of the indicator and the metal complexed indicator must be sufficiently different. Indicator for EDTA Titrations Ertichrome Black T SO3 - O2N H2O+H2In- HIn-2+H3O+ K1=5×10-7 red blue OH N H2O+HIn-2 -3 In +H3O + K2=2.8×10-12 N blue orange OH -2 -2 MIn-+HY-3 HIn +MY red blue Compounds changing colour when binding to metal ion. Kf for Metal-In- < Kf for Metal-EDTA. Before Titration: Mg2+ + In- MgIn (colourless) (blue) (red) During Titration: Before the end point Mg2+ + EDTA Mg-EDTA (free Mg2+ ions) (Solution red due to MgIn complex) At the end point: MgIn + EDTA MgEDTA + In- (red) (colourless) (colourless) (Blue) Indicators used in complexometric titrations EDTA Titration Techniques Direct Titration Many metals can be determined by direct titrations with EDTA. Weak metal complexes such as Ca2+ and Mg2+ should be titrated in basic solution using EBT, Calmagite, or Arsenazo I as the indicator. Direct determination of Cu2+ with EDTA The complex of Cu2+ with EDTA is more stable than its complex with murexide ind. Cu2+ + H3Ind.2-  CuH2Ind.- + H+ CuH2Ind.- + H2Y2-  CuY2- + H3Ind.2- + H+ yellow violet Direct determination of Zn2+ with EDTA - The complex of Zn2+ with EDTA is more stable than its complex with EBT ind. Zn2+ + H Ind.2-  Zn Ind.- + H+ Zn Ind.- + H2Y2-  ZnY2- + H Ind.2- + H+ wine red Blue EDTA Titration Techniques Back Titration (indirect) It can be performed for the determintion of several metal ions can not be titrated directly but form stable EDTA complexes. The procedure, a known amount of EDTA is added to the analyte sample solution and the excess is back titrated with a standard solution of “weak” metal ion, Mg2+. The weak metal ion will not displace the analyte from its EDTA complex. · It is used in the following cases: Insoluble substances e.g. BaSO4 , Ca(C2O4)2 , PbSO4 , Mg3(PO4)2 … etc. Usually soluble in hot EDTA. The reaction between Mn+ & EDTA is slow (incomplete) e.g. Fe3+ , Al3+ , Cr3+ , Th4 , … etc. The Mn+ is pptd. at the pH suitable for titration e.g. Al(OH)3. Determination of Aluminium salts: Sample of Al3+ is heated with known excess. of st. EDTA at pH 7-8. The soln. is then adjusted to pH=10 using ammonia buffer. The residual EDTA is titrated against st. Zn2+ using EBT indicator. The colour change from blue to wine red. pH 7-8 Al3+ + H2Y2-  AlY- + 2 H+ Boil pH 10 Zn2+ + H2Y2-  ZnY2- + 2 H+ Zn2+ + H Ind.2-  Zn-Ind.- + H+ Blue wine red EDTA Titration Techniques Displacement Titration The technique only works when the unknown metal has tighter binding to EDTA than the Zn2+ or Mg2+. Metal ions with no satisfactory indicator. MgY2- or ZnY2- complex is added to the solution of unknown metal ion composition. · The unknown metal displaces the Mg2+ or Zn2+, which is then back titrated. Mn+ + MgYn-2 MYn-4 + Mg2+ Kf’ for MYn-2 > Kf’ for MgYn-2 Titration of Mixtures EDTA is not a selective reagent (it chelates with most metal ions) Selectivity of EDTA can be increased by one of the following procedures: Control of pH of the medium Adjustment of oxidation number of metal ion Masking and demasking agent Control of pH of the medium First group: Trivalent & tetravalent cations e.g. (Bi3+ , Fe3+ , Th4+) and Hg2+ titrated (form stable complex) at pH 1-3 using conc. HNO3. Second group: Divalent metals e.g. (Co2+ , Ni2+ , Cu2+ , Zn2+ , pb2+ and Cd2+) titrated (form stable complex) at pH 4-6 using acetate buffer. Third group: Alkaline earth metal e.g. (Ba2+ , Sr2+ , Ca2+) and Mg2+ titrated (form stable complex) at pH=10 using ammonia buffer or 8% NaOH. From the mentioned above, we can titrate Mn+ of the first group at pH 1-3 without interference of the second and third groups or at pH 4-6 we can titrate Mn+ of the second group without interference of the third group. e.g. Mixture of Bi3+ & pb2+: First titrating Bi3+ at pH = 2 using xylenol orange as ind., then increased pH to 5 by adding hexamine and titrating pb2+. Adjustment of oxidation number of metal ion - This solves the interference between Mn+ of the same group of pH. Examples: Ascorbic acid (vit. C) is reducing agent used in: Removal of interference of Fe3+ in first group (pH 1-3)  reduced to Fe2+ Removal of interference of Hg2+ in first group (pH 1-3)  reduced to Hgo (pptd.). Removal of interference of Cu2+ in second group (pH 4-6)  reduced to cuprous (Cu1+). alkaline Oxidation of Cr3+  to CrO42+ H2O2 Fe2+ , Hgo, Cuprous , CrO42- do not react with EDTA Masking and demasking agent Masking agents: Protects some component of analyte from reacting with EDTA. These reagents form complexes with interfering ions which are more stable than complexes formed with ind. & EDTA. Examples of masking agent: KCN: It is used as masking agent for Ag+ , Cu2+ , Cd2+ , Co2+ , Ni2+ , Zn2+ , … etc. M+ + 2 CN -  [M(CN)2] - M+ + 4 CN -  N[M(CN)4]2- Triethanolamine: It is used as masking agent for Fe3+ , Al3+ and Sn2+ CH2CH2OH N CH2CH2OH CH2CH2OH Fluoride (e.g. NH4F): It is used as masking agent for Fe3+ and Al3+ to give [FeF6]3- and [AlF6]3- Iodide (KI): It is used as masking agent for Hg2+ to give tetraiodo complex (HgI4) Demasking agent : Releasing masking agent from analyte. Example: Example of using masking and demasking agents in complexometry is the analysis of 3 metals, Cu, Cd and Ca. the following method of analysis is followed Step 1: All metals are titrated Ca Ca-EDTA Cd + EDTA Cd-EDTA Cu Cu-EDTA Step 2: Only Ca titrated [Cu, Cd] + cyanide ion [Cu-cyanide]complex [Cd-cyanide]complex EDTA Ca + cyanide ion no reaction Ca-EDTA Step 3: Cd and Ca are titrated [Cd-cyanide]complex + HCHO Cd2+ (free) demasking agent [Cu-cyanide]complex + HCHO no reaction Cd Cd-EDTA + EDTA Cu Cu-EDTA Oxidation with H2O2 releases Cu2+ from [Cu+-Thiourea] complex.

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