Topic 17: Transition Metals and their Chemistry A2

Syllabus
2017
Topic
Level
A2

Learning objectives

17.1Transition metals are d-block elements that form one or more stable ions with incompletely-filled d-orbitalsKnow that transition metals are d-block elements that form one or more stable ions with incompletely-filled d-orbitals17.2Deduce the electronic configurations of atoms and ions of the d-block elements of Period 4 (Sc-Zn) given their atomic numberBe able to deduce the electronic configurations of atoms and ions of the d-block elements of Period 4 (Sc-Zn) given their atomic number and charge (if any)17.3Why transition metals show variable oxidation numberUnderstand why transition metals show variable oxidation number17.4What is meant by the term ‘ligand’Know what is meant by the term ‘ligand’17.5Dative (coordinate) covalent bonding is involved in the formation of complex ionsUnderstand that dative (coordinate) covalent bonding is involved in the formation of complex ions17.6A complex ion is a central metal ion surrounded by ligandsKnow that a complex ion is a central metal ion surrounded by ligands17.7Aqueous solutions of transition metal ions are usually colouredKnow that aqueous solutions of transition metal ions are usually coloured17.8The colour of aqueous ions, and other complex ions, is a consequence of the splitting of the energy levels of the d-orbitalsUnderstand that the colour of aqueous ions, and other complex ions, is a consequence of the splitting of the energy levels of the d-orbitals by ligands17.9Why there is a lack of colour in some aqueous ions and other complex ionsUnderstand why there is a lack of colour in some aqueous ions and other complex ions17.10The meaning of the term ‘coordination number’Understand the meaning of the term ‘coordination number’17.11Colour changes in transition metal ions may arise as a result of changes in: i oxidation number of the ion ii ligand iiiUnderstand that colour changes in transition metal ions may arise as a result of changes in: i oxidation number of the ion ii ligand iii coordination number of the complex17.12H2O, OH- and NH3 act as monodentate ligandsUnderstand that H2O, OH- and NH3 act as monodentate ligands17.13Why complexes with six-fold coordination have an octahedral shape, such as those formed by metal ions with H2O, OH- and NH3Understand why complexes with six-fold coordination have an octahedral shape, such as those formed by metal ions with H2O, OH- and NH3 as ligands17.14Transition metal ions may form tetrahedral complexes with relatively large ions such as Cl-Know that transition metal ions may form tetrahedral complexes with relatively large ions such as Cl-17.15Square planar complexes are also formed by transition metal ions and that cis-platin is an example of such a complex whichKnow that square planar complexes are also formed by transition metal ions and that cis-platin is an example of such a complex which is used in cancer treatment where it is supplied as a single isomer and not in a mixture with the trans form17.16The terms ‘bidentate’ and ‘hexadentate’ in relation to ligandsUnderstand the terms ‘bidentate’ and ‘hexadentate’ in relation to ligands, and be able to identify examples such as NH2CH2CH2NH2 and EDTA4-17.17Haemoglobin is an iron(II) complex containing a polydentate ligand and that ligand exchange occurs when an oxygen moleculeKnow that haemoglobin is an iron(II) complex containing a polydentate ligand and that ligand exchange occurs when an oxygen molecule bound to haemoglobin is replaced by a carbon monoxide molecule The structure of the haem group will not be assessed.17.18The colours of the oxidation states of vanadium (+5, +4, +3 and +2) in its compoundsKnow the colours of the oxidation states of vanadium (+5, +4, +3 and +2) in its compounds17.19Redox reactions for the interconversion of the oxidation states of vanadium (+5, +4, +3 and +2), in terms of the relevant EoUnderstand redox reactions for the interconversion of the oxidation states of vanadium (+5, +4, +3 and +2), in terms of the relevant Eo values17.20Understand, in terms of the relevant E values, that the dichromate(VI) ion, Cr2O2- i can be reduced to Cr3+ and Cr2+ ionsUnderstand, in terms of the relevant E values, that the dichromate(VI) ion, Cr2O2- i can be reduced to Cr3+ and Cr2+ ions using zinc in acidic conditions ii can be produced by the oxidation of Cr3+ ions using hydrogen peroxide in alkaline conditions (followed by acidification)17.21Dichromate(VI) ions can be converted into chromate(VI) ions through the equilibrium Cr2O7^2− + H2O ⇌ 2CrO4^2− + 2H+Know that dichromate(VI) ions can be converted into chromate(VI) ions through the equilibrium Cr2O7^2− + H2O ⇌ 2CrO4^2− + 2H+.17.22Record observations and write suitable equations for the reactions of Cr3+(aq), Mn2+(aq), Fe2+(aq), Fe3+(aq), Co2+(aq)Be able to record observations and write suitable equations for the reactions of Cr3+(aq), Mn2+(aq), Fe2+(aq), Fe3+(aq), Co2+(aq), Ni2+(aq), Cu2+(aq) and Zn2+(aq) with aqueous sodium hydroxide and aqueous ammonia, including in excess17.23Write ionic equations to show the meaning of amphoteric behaviour, deprotonation and ligand exchange in the reactionsBe able to write ionic equations to show the meaning of amphoteric behaviour, deprotonation and ligand exchange in the reactions in 17.2217.24Ligand exchange, and an accompanying colour change, occurs in the formation of: i [Cu(NH3)4(H2O)2]2+ from [Cu(H2O)6]2+ viaUnderstand that ligand exchange, and an accompanying colour change, occurs in the formation of: i [Cu(NH3)4(H2O)2]2+ from [Cu(H2O)6]2+ via Cu(OH)2(H2O)4 ii [CuCl4]2- from [Cu(H2O)6]2+ iii [CoCl4]2- from [Co(H2O)6]2+17.25Understand, in terms of the positive increase in ∆Ssystem, that the substitution of a monodentate ligand by a bidentate orUnderstand, in terms of the positive increase in ∆Ssystem, that the substitution of a monodentate ligand by a bidentate or hexadentate ligand leads to a more stable complex ion17.26Transition metals and their compounds can act as heterogeneous and homogeneous catalystsKnow that transition metals and their compounds can act as heterogeneous and homogeneous catalysts17.27A heterogeneous catalyst is in a different phase from the reactants and that the reaction occurs at the surface ofKnow that a heterogeneous catalyst is in a different phase from the reactants and that the reaction occurs at the surface of the catalyst17.28Understand, in terms of oxidation number, how V2O5 acts as a catalyst in the contact processUnderstand, in terms of oxidation number, how V2O5 acts as a catalyst in the contact process17.29How a catalytic converter decreases carbon monoxide and nitrogen monoxide emissions from internal combustion engines by: iUnderstand how a catalytic converter decreases carbon monoxide and nitrogen monoxide emissions from internal combustion engines by: i adsorption of CO and NO molecules onto the surface of the catalyst, resulting in the weakening of bonds and chemical reaction ii desorption of CO2 and N2 product molecules from the surface of the catalyst17.30A homogeneous catalyst is in the same phase as the reactants and appreciate that the catalysed reaction will proceed viaKnow that a homogeneous catalyst is in the same phase as the reactants and appreciate that the catalysed reaction will proceed via an intermediate species17.31The role of Fe2+ ions in catalysing the reaction between I− and S2O8^2− ionsUnderstand the role of Fe2+ ions in catalysing the reaction between I− and S2O8^2− ions.17.32The role of Mn2+ ions in autocatalysing the reaction between MnO4− and C2O4^2− ionsKnow the role of Mn2+ ions in autocatalysing the reaction between MnO4− and C2O4^2− ions.17.33CORE PRACTICAL 14 The preparation of a transition metal complexCORE PRACTICAL 14 The preparation of a transition metal complex.

A transition metal forms an ion with an incomplete d subshell

A transition metal is a d-block element that forms at least one stable ion with an incompletely filled d subshell. The definition tests the electronic configuration of stable ions, not merely the position of the neutral atom in the periodic table.

Element Relevant stable ion Transition metal?
Sc Sc3+ is 3d0 no
Fe Fe2+ is 3d6 and Fe3+ is 3d5 yes
Zn Zn2+ is 3d10 no

A d-block element is not automatically a transition metal. A full d10 or empty d0 ion does not meet the incomplete-d-subshell condition.

Build Period 4 d-block electron configurations in the right order

For a neutral Period 4 d-block atom, place electrons after [Ar] into 4s and 3d, remembering the accepted Cr and Cu arrangements. For a positive ion, remove electrons from 4s before 3d even though 4s filled first.

Species Configuration
V [Ar] 3d3 4s2
V3+ [Ar] 3d2
Cr [Ar] 3d5 4s1
Fe2+ [Ar] 3d6
Cu [Ar] 3d10 4s1
Cu2+ [Ar] 3d9

Count the electrons implied by atomic number minus positive charge. For example, Fe2+ must contain 24 electrons: 18 in [Ar] and six in 3d.

Do not remove 3d electrons before 4s when forming ions. Do not force Cr or Cu into the simple 3d^(n-2)4s2 pattern.

Similar 3d and 4s energies allow variable oxidation numbers

In transition metals, the 3d and 4s electrons are close enough in energy that different numbers of them can be removed or used in bonding. This produces several stable oxidation numbers rather than one fixed ionic charge.

Vanadium is [Ar] 3d3 4s2. It has five electrons beyond [Ar], so oxidation states from +2 through +5 are accessible; +5 corresponds to removal or bonding involvement of all five 3d and 4s electrons.

The relative stability of particular states also depends on electronic arrangement: Mn2+ has a stable half-filled 3d5 subshell, while Fe3+ is 3d5.

Variable oxidation number is not explained by 4s electrons alone. Both 3d and 4s electrons can participate because their energies are similar.

A ligand donates a lone pair to a metal ion

A ligand is an ion or molecule that donates a lone pair of electrons to a central metal ion to form a coordinate bond.

Ligand Donor atom/lone pair
H2O oxygen
NH3 nitrogen
OH- oxygen
Cl- chlorine
CO carbon

To decide whether a species can act as a ligand, locate an available lone pair and a donor atom able to approach the metal. Ethane has no suitable lone pair, whereas an amine does.

A negative charge is not required: H2O, NH3 and CO are neutral ligands. The essential feature is lone-pair donation.

Coordinate bonds form when ligands supply both bonding electrons

A dative, or coordinate, covalent bond forms when both electrons in the shared pair come from the ligand. The ligand lone pair is donated into an available orbital on the metal ion.

Show the bond initially with an arrow from the ligand donor atom toward the metal ion: donor → metal. Once formed, it is a covalent bond; the arrow records the source of the electron pair.

A ligand with several suitable donor atoms can make several coordinate bonds to the same metal. The donor atoms, not unrelated lone pairs elsewhere in the ligand, determine its denticity.

Do not draw the arrow from the metal to the ligand: the ligand supplies the electron pair.

A complex ion contains a metal centre and coordinated ligands

A complex ion is a charged species with a central metal ion surrounded by ligands joined through coordinate bonds.

\text{complex charge}=\text{metal oxidation number}+\sum\text{ligand charges}

In [Fe(H2O)5SCN]2+, five water ligands contribute zero charge and SCN- contributes -1, so iron is +3. Square brackets enclose the whole coordination entity and the overall charge is written outside.

Do not confuse metal oxidation number, ligand count and overall complex charge: they are related but not identical quantities.

Many aqueous transition-metal ions are coloured

Aqueous transition-metal ions commonly exist as aqua complexes and are often coloured. Examples include green [Cr(H2O)6]3+, pale green Fe2+, green Ni2+ and blue Cu2+ complexes.

Colour can support identification or show that oxidation state or ligand environment has changed, but observations should be linked to a named or formula species rather than colour alone.

Usually coloured is not universally coloured. Complexes with no possible d–d transition, including many d0 and d10 ions, may be colourless.

Ligands split d-orbital energies so visible light can be absorbed

When ligands approach a transition-metal ion, their interactions split the five d orbitals into groups with different energies. An electron can absorb a photon whose energy matches this gap and move from a lower to a higher d level.

\Delta E=h\nu=\frac{hc}{\lambda}

The absorbed wavelength is removed from the incident visible light. The colour seen is produced by the wavelengths transmitted or reflected, so it is complementary to the light absorbed.

Do not say that the complex has colour simply because d orbitals exist. The orbitals must be split, a suitable d electron transition must be possible, and the energy gap must correspond to visible light.

d0 and d10 complexes lack d–d transitions

d arrangement Why no d–d absorption? Example
d0 no d electron can be promoted Ti4+
d10 all d orbitals are filled, leaving no available higher d state Cu+ or Zn2+

Cu2+ is 3d9, so a d electron can be promoted between split levels and its aqua complex is coloured. Cu+ is 3d10, so that transition is unavailable and its comparable complexes are colourless.

Do not explain every colourless ion by saying the d orbitals are unsplit or the absorbed frequency is outside the visible range when the decisive evidence is d0 or d10 occupancy.

Coordination number counts metal–donor bonds

The coordination number is the number of coordinate bonds from ligand donor atoms to the central metal ion.

Complex Ligands present Coordination number
[Cu(H2O)6]2+ six monodentate H2O 6
[CuCl4]2- four monodentate Cl- 4
[M(en)3]n+ three bidentate en 6
[MEDTA]n- one hexadentate EDTA4- 6

Coordination number is not simply the number of ligand particles. One polydentate ligand can contribute several donor atoms and several coordinate bonds.

Oxidation state, ligand and coordination number can each change colour

Change Why the observed colour may change
metal oxidation number changes d-electron occupancy and metal–ligand interaction
ligand identity changes the size of the d-orbital energy splitting
coordination number/shape changes the ligand arrangement and splitting pattern

A colour change is evidence that the electronic environment changed, but identify the chemistry from reagents and equations. Air oxidises pale-green Fe2+ to brown Fe3+; chloride can replace water and change both colour and shape without changing metal oxidation number.

A colour change does not by itself prove redox. Ligand exchange and coordination changes can alter colour while the metal oxidation number remains constant.

H2O, OH- and NH3 are monodentate ligands

Ligand Donor atom Bonds to one metal
H2O O 1
OH- O 1
NH3 N 1

Monodentate means that one ligand particle attaches through one donor atom and forms one coordinate bond to a metal ion. Water uses one oxygen lone pair; ammonia uses one nitrogen lone pair.

Water has two lone pairs, but in this syllabus context it coordinates through one donor atom and counts as monodentate, not bidentate.

Six donor atoms arrange octahedrally around a metal

A coordination number of six commonly gives an octahedral complex: six donor atoms point toward the central metal along three perpendicular axes. Adjacent ligand–metal–ligand angles are 90°, and opposite positions are 180°.

Small monodentate ligands such as H2O, OH- and NH3 can pack six donor atoms around the centre, as in [Cu(H2O)6]2+ or [Co(NH3)6]2+. Each metal–ligand link is coordinate covalent.

In a 3D drawing, show four bonds in one plane plus one bond projecting forward and one backward, with all six donor atoms connected to the metal.

Octahedral refers to six coordination positions, not eight ligands or an eight-coordinate complex.

Large chloride ligands favour four-coordinate tetrahedral complexes

Chloride ions are larger than water or ammonia ligands. Around some transition-metal ions, only four chloride donor atoms can fit without excessive crowding, so the coordination number falls from six to four and a tetrahedral complex forms.

[CuCl4]2- and [CoCl4]2- are four-coordinate tetrahedral complexes. Their ideal bond angles are about 109.5°, unlike the 90° adjacent angles of an octahedral aqua complex.

A coordination number of four does not always imply tetrahedral geometry: some transition-metal complexes are square planar. Ligand size and the metal ion both matter.

Cis-platin is the active square-planar isomer

Cis-platin, [Pt(NH3)2Cl2], is a square-planar platinum(II) complex: the four donor atoms lie in one plane with adjacent angles of 90°. In the cis isomer the two chloride ligands occupy adjacent positions; in the trans isomer they are opposite.

Cis-platin is used in cancer treatment and must be supplied as the single cis isomer. Replacement of its two nearby chloride ligands enables binding at two sites on DNA, disrupting replication; the trans arrangement cannot make the same effective two-point link.

Cis and trans forms have the same formula but different spatial arrangements and biological effects. A mixture is not equivalent to pure cis-platin.

Denticity is the number of donor atoms one ligand uses

Denticity Bonds from one ligand Example
bidentate 2 NH2CH2CH2NH2 (en), through both N atoms
hexadentate 6 EDTA4-, through six donor atoms

Identify separate donor atoms with available lone pairs that can reach the same metal centre. A bidentate ligand makes a chelate ring with two coordinate bonds; EDTA4- can wrap around a metal and occupy six coordination sites.

Count donor atoms used to bind one metal, not the total lone pairs, atoms or formal charges in the ligand.

Carbon monoxide displaces oxygen from haemoglobin

Haemoglobin contains an Fe2+ complex held by a polydentate ligand. An additional coordination site can bind O2 reversibly so oxygen can be transported in the blood.

Carbon monoxide acts as a ligand and binds more strongly to the Fe2+ centre than oxygen. It replaces bound O2 by ligand exchange, occupying the site and reducing haemoglobin's ability to carry oxygen.

The assessable explanation is ligand exchange at Fe2+ and stronger CO binding. The detailed structure of the haem group is explicitly outside the syllabus boundary.

Vanadium oxidation states have a diagnostic colour sequence

Vanadium oxidation state Common acidic aqueous species Colour
+5 VOX2X+\ce{VO2+} yellow
+4 VOX2+\ce{VO^{2+}} blue
+3 VX3+\ce{V^{3+}} green
+2 VX2+\ce{V^{2+}} purple/violet

Stepwise reduction therefore gives yellow → blue → green → purple. Link every observation to an oxidation state or species; an intermediate mixture of yellow and blue can also appear green without being pure V3+.

Colour is supporting evidence, not a substitute for oxidation-state reasoning. The same apparent colour can arise from a mixture or another ion.

E° values predict how far a reducing agent converts vanadium

Reduction step in acid E° for vanadium couple Observed colour change
V(V) → V(IV) VOX2X+ / VOX2+\ce{VO2+ / VO^{2+}} yellow → blue
V(IV) → V(III) VOX2+ / VX3+\ce{VO^{2+} / V^{3+}} blue → green
V(III) → V(II) VX3+ / VX2+\ce{V^{3+} / V^{2+}} green → purple

For each step, calculate E°cell = E°(vanadium reduction) - E°(reducing-agent reduction couple). A positive result predicts that step is feasible; repeat independently for the next oxidation state.

Iron metal with E°(Fe2+/Fe) = -0.44 V can reduce V3+ to V2+ because -0.26 - (-0.44) = +0.18 V. Tin with E°(Sn2+/Sn) = -0.14 V cannot: -0.26 - (-0.14) = -0.12 V.

Do not infer the final state from one favourable first step. Test every successive reduction with the relevant E° pair.

Chromium interconversions depend on reagent and conditions

Route Conditions and role Main chromium change
dichromate(VI) + Zn acidic; Zn is reducing agent Cr(VI) → green Cr3+, then Cr2+ with sufficient Zn
Cr3+ + H2O2 alkaline; H2O2 is oxidising agent Cr(III) → yellow CrO4^2-
chromate then acidified H+ shifts chromate/dichromate equilibrium yellow CrO4^2- → orange Cr2O7^2-

\ce{2Cr^{3+} + 3H2O2 + 10OH^- -> 2CrO4^{2-} + 8H2O}

Use the relevant reduction potentials to show that Zn gives positive Ecell values for the stated reductions. Conditions matter: peroxide oxidises Cr3+ to chromate in alkaline solution, and acidification then forms dichromate.

Hydrogen peroxide is acting as an oxidising agent in the Cr3+ route, not as a catalyst or reducing agent.

pH shifts the chromate–dichromate equilibrium

\ce{Cr2O7^{2-} + H2O <=> 2CrO4^{2-} + 2H+}

Change Shift Dominant colour/species
add OH- / make alkaline right, because H+ is removed yellow chromate(VI)
add acid / increase H+ left orange dichromate(VI)

This interconversion is an acid–base equilibrium, not redox: chromium remains in oxidation state +6 on both sides.

Use hydroxide and ammonia reactions to identify metal ions

Ion Few drops NaOH or NH3 Excess NaOH Excess NH3
Cr3+ grey-green Cr(OH)3 ppt dissolves, dark-green hydroxo complex no further change
Mn2+ off-white/buff Mn(OH)2 ppt, browns in air no further change no further change
Fe2+ green Fe(OH)2 ppt, browns in air no further change no further change
Fe3+ brown Fe(OH)3 ppt no further change no further change
Co2+ blue Co(OH)2 ppt no further change dissolves to yellow-brown ammine solution, darkens in air
Ni2+ green Ni(OH)2 ppt no further change dissolves to pale-blue ammine solution
Cu2+ pale-blue Cu(OH)2 ppt no further change dissolves to deep-blue [Cu(NH3)4(H2O)2]2+
Zn2+ white Zn(OH)2 ppt dissolves to colourless zincate dissolves to colourless ammine complex

\ce{[M(H2O)6]^{n+} + nOH^- -> M(H2O)_{6-n}(OH)_n + nH2O}

Record the initial solution, precipitate colour, whether it changes on standing, and whether it dissolves in excess. Write an equation for the actual process rather than reporting colour alone.

NH3 first acts as a base and may form a hydroxide precipitate; in excess it acts as a ligand only for the complexes that redissolve.

Distinguish deprotonation, amphoterism and ligand exchange

Process What changes Representative equation
deprotonation coordinated H2O loses H+; hydroxide precipitate forms [M(H2O)6]2+ + 2OH- → [M(H2O)4(OH)2] + 2H2O
amphoteric reaction hydroxide precipitate reacts with excess OH- and dissolves Zn(OH)2 + 2OH- → [Zn(OH)4]2-
ligand exchange one ligand replaces another around the metal [Cu(H2O)6]2+ + 4NH3 ⇌ [Cu(NH3)4(H2O)2]2+ + 4H2O

Cr(OH)3 is also amphoteric and dissolves in excess OH- to form a green hydroxo complex. Amphoteric means reacting with both acid and base; it is not merely 'soluble in excess'.

Precipitation by NH3 is deprotonation because NH3 removes H+ from coordinated water; it is not automatically ligand exchange.

Ligand exchange changes copper and cobalt colours and shapes

Starting aqua complex Reagent/product Observation and shape
[Cu(H2O)6]2+ limited NH3 gives [Cu(H2O)4(OH)2] pale-blue precipitate
same Cu complex/precipitate excess NH3 gives [Cu(NH3)4(H2O)2]2+ deep-blue octahedral solution
[Cu(H2O)6]2+ concentrated Cl- gives [CuCl4]2- yellow/green tetrahedral solution
[Co(H2O)6]2+ concentrated Cl- gives [CoCl4]2- pink octahedral → blue tetrahedral

Replacing ligands changes the d-orbital splitting and therefore colour. Replacing six small water ligands by four larger chloride ions also lowers coordination number from six to four and changes shape.

The metal remains +2 in these ligand exchanges. A colour change and shape change do not imply redox.

Chelate formation is favoured by increased system entropy

Replacing several monodentate ligands by one bidentate or hexadentate ligand often releases several small ligand molecules into solution. The number of independently moving particles increases, so ΔSsystem is positive and the chelated complex is thermodynamically more stable.

\ce{[M(H2O)6]^{2+} + EDTA^{4-} <=> [MEDTA]^{2-} + 6H2O}

The left side has two solute species, while the right contains one complex plus six liberated water molecules. For another equation, count the particles shown rather than assuming that all polydentate ligands give the same numerical change.

The stability explanation required here is the positive increase in ΔSsystem, not simply 'more coordinate bonds': the coordination number can remain six.

Transition metals catalyse in heterogeneous and homogeneous routes

Feature Heterogeneous Homogeneous
phase catalyst differs from reactants catalyst and reactants share a phase
key mechanism adsorption and reaction at a surface soluble intermediate forms and catalyst is regenerated
example Fe in Haber process; Ni in alkene hydrogenation; Pt converter Fe2+/Fe3+ in I-/S2O8^2- reaction

Both provide an alternative pathway with lower activation energy and are regenerated overall. Transition metals are suited to catalytic redox cycles because they can change oxidation state, while metal surfaces can adsorb reactants.

Classify by relative phase during the reaction, not by whether the catalyst is a metal or compound.

Heterogeneous catalysis occurs at an exposed surface

A heterogeneous catalyst is in a different phase from the reactants, and reaction occurs at active sites on its surface.

Stage Surface event
1 adsorption reactant particles attach to active sites
2 activation/reaction bonds weaken or particles are correctly oriented, lowering activation energy
3 desorption products leave, freeing sites for another cycle

Finely divided catalyst exposes more active sites, so more reactant particles can be adsorbed at once and the reaction rate can increase.

Adsorption is binding at the surface, not absorption into the bulk. Products must desorb or the sites remain blocked.

V2O5 transfers oxygen in the Contact Process

Vanadium(V) oxide catalyses SO2 oxidation through two redox steps. SO2 first reduces vanadium from +5 to +4 while becoming SO3; oxygen then oxidises vanadium(IV) back to +5, regenerating V2O5.

\ce{V2O5 + SO2 -> V2O4 + SO3}

\ce{V2O4 + 1/2O2 -> V2O5}

Adding the two steps cancels V2O5/V2O4 and gives SO2 + 1/2 O2 → SO3. The catalyst participates but has no net consumption.

Do not call V2O5 unchanged throughout: it is temporarily reduced and then regenerated.

A catalytic converter couples CO oxidation with NO reduction

Stage What happens on the catalyst surface
adsorption CO and NO attach to active sites
activation adsorbed bonds weaken and particles are held close enough to react
reaction CO is oxidised to CO2 while NO is reduced to N2
desorption CO2 and N2 leave and expose the sites again

\ce{2CO + 2NO -> 2CO2 + N2}

The catalyst lowers activation energy but does not change the reaction stoichiometry or equilibrium position. Surface poisoning can reduce activity by blocking sites.

A homogeneous catalyst forms and consumes an intermediate

A homogeneous catalyst is in the same phase as the reactants. It reacts in one elementary step to form an intermediate and is regenerated in a later step.

Add all mechanism steps and cancel species that appear on both sides. A catalyst appears as a reactant early and a product later; an intermediate appears as a product early and a reactant later.

The sequence replaces a slow direct reaction with faster steps having lower activation barriers. Because the catalyst is regenerated, it is absent from the overall equation.

Do not label every cancelled species a catalyst: direction matters. A species formed before it is consumed is an intermediate.

Fe2+/Fe3+ provides a two-step redox route

The direct reaction between I- and S2O8^2- is slow because both ions are negative and repel. Fe2+/Fe3+ ions provide two favourable electron-transfer encounters.

\ce{2Fe^{2+} + S2O8^{2-} -> 2Fe^{3+} + 2SO4^{2-}}

\ce{2Fe^{3+} + 2I^- -> 2Fe^{2+} + I2}

Adding the steps gives S2O8^2- + 2I- → 2SO4^2- + I2. Fe2+ is consumed then regenerated; Fe3+ is the intermediate oxidation state.

The catalyst does not change the overall redox equation. Both catalytic steps must be feasible and faster than the direct route.

Mn2+ product autocatalyses the permanganate–oxalate reaction

In acidic permanganate–ethanedioate reaction, Mn2+ is both a product and a catalyst. Little Mn2+ is present initially, so the reaction is slow; as Mn2+ accumulates the catalytic route speeds up. Later the rate falls as reactants are depleted.

\ce{MnO4^- + 8H+ + 4Mn^{2+} -> 5Mn^{3+} + 4H2O}

\ce{2Mn^{3+} + C2O4^{2-} -> 2Mn^{2+} + 2CO2}

Mn3+ is the intermediate and Mn2+ is regenerated. Combining suitable multiples gives the uncatalysed overall stoichiometry while exposing the faster pathway.

The eventual slowing is not catalyst exhaustion: Mn2+ remains, but MnO4- and C2O4^2- concentrations fall.

Prepare and isolate a transition-metal complex

Stage Purpose
measure reagents and form the complex under specified conditions control stoichiometry, oxidation state and ligand exchange
cool or add a suitable anti-solvent reduce product solubility and crystallise it
vacuum-filter separate crystals rapidly
wash with a small amount of cold solvent remove soluble impurities with minimal product loss
dry to constant mass remove solvent before yield or purity assessment

Write the balanced ligand-substitution or complex-formation equation with correct brackets and overall charges. For a substitution step, show displaced ligands or counter-ions explicitly rather than treating the complex as an uncharged formula.

Calculate percentage yield from the limiting reagent. Discuss losses during transfer, incomplete crystallisation and product remaining dissolved; observations such as colour support formation but do not alone prove purity.

The official objective specifies the practical skill but not one universal complex or recipe. Follow the supplied method and hazard controls rather than inventing interchangeable reagents.