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Чамберс К., Холлидей А.К. Современная неорганическая химия, 1975

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106 ACIDS AND BASES: OXIDATION AND REDUCTION

be more satisfactorily found by potential measurements of a cell incorporating the redox reaction.

Consider the estimation of iron(II) ions by cerium(IV) ions in aqueous solution:

Fe2 + (aq) + Ce4+ (aq) -> Ce3+ (aq) + Fe3+ (aq)

The electrode potential for the iron(II)-iron(III) system is given by

 

[Fe3+ (aq)j

and for the cerium(IV)-cerium(III) system by

^

RT [Ce4+ (aq)]

E2 = E2

+ _loge^JT^

Experimentally, the aqueous iron(II) is titrated with cerium(IV) in aqueous solution in a burette. The arrangement is shown in Figure 4.6; the platinum indicator electrode changes its potential (with reference to a calomel half-cell as standard) as the solution is

titrated. Figure 4.7 shows the graph of the cell e.m.f. against

added

cerium(IV). At the equivalence

point the amount of the

added

Ce4+ (aq) is equal to the original

amount

of Fe2 + (aq); hence the

amounts of Ce3 + (aq) and Fea + (aq) are

also equal. Under

these

conditions the potential of the electrode in the mixture is(£~f-f

Ef)/2 ;

this, the equivalence point, occurs at the point indicated.

 

Potentiometric methods can be used

for the study of a large

Ce 02) solution, in burette

Calomel standard r electrode

Fe(n)solution"

a

Platinum indicator

being titrated

electrode

 

Stirrer

itliii't'4.h. A p f h i r a l u s for pok'/Hiowi/fnV

ACIDS AND BASES: OXIDATION AND REDUCTION 107

150

100

070

0

50

100

150

 

Added

Ce ( I V ) a s %

Fe (ED

Figure 4.7. Potentiometric titration of Fe(II) with Ce(lV)

number of redox reactions; quantitatively they have several advantages over ordinary indicator methods.

Thus, for example, an analysis using coloured solutions can be carried out, where an indicator cannot be used. Moreover, it is not easy to find a redox indicator which will change colour at the right point. Potentiometric methods can fairly readily be made automatic.

TESTS FOR REDUCING AND OXIDISING AGENTS

The redox properties of all reagents are relative and a given reagent may be both a reducing and an oxidising agent depending upon the reaction in which it is involved. Thus, for example, sulphur dioxide in aqueous solution is an oxidising agent with respect to hydrogen sulphide, but a reducing agent with respect to acidified potassium dichromate(VI) solution. Similarly hydrogen peroxide in acidic solution is an oxidising agent relative to iron(II) ions but a reducing agent relative to manganate(VII) ions in aqueous solution. However, it is convenient to establish approximate 'reference points' for laboratory reagents, which can then be loosely classified as follows:

Reagents are reducing if they:

1.Decolorise a solution of potassium manganate(VII) acidified with dilute sulphuric acid.

2.Turn a solution of potassium dichromate(VI) acidified with dilute sulphuric acid from orange to green.

108 ACIDS AND BASES: OXIDATION AND REDUCTION

3. Change a solution of iron(III) in aqueous solution to iron(II).

Reagents are oxidising if they:

1.Liberate iodine from a potassium iodide solution acidified with dilute sulphuric acid.

2.Convert iron(II) to iron(III) in aqueous acid solution.

QUESTIONS

1.(a) The following are standard redox potentials in volts in 1 N acid solution for the reactions

Mn+ + xe~ -> M(n"x)+ (symbolised as Mfl+/M("~-x)+), where, for example, the process

Na+ + e~ -> Na (symbolised as Na+/Na) is defined as having a large negative potential:

Cr2+/Cr - 0.9 V, Mn2+/Mn - 1.2 V, Cr3+/Cr2+ -0.4V, Mn3+/Mn2+ + 1.5V,

Fe2 + /Fe -0.4V,

Fe3+/Fe2+ + 0.8V. Use these data to comment upon:

(i)the stability in acid solution of Fe3 + towards reducingagents as compared to that of either Cr3+ or Mn3+ ;

(ii)the ease with which metallic iron can be oxidised to iron(II) (ferrous) ions compared to the similar process for either metallic chromium or metallic manganese;

(iii)the result of treating a solution containing either chromium(II) (chromous) or manganese(II) (rnanganous) ions with a solution containing iron(III) (ferric) ions.

(b) The following equations represent four chemical reactions involving redox processes:

(i)3N2H4 + 2BrO3^ -> 3N2 + 2Br" + 6H2O,

(ii)5As2O3 + 4MnO4 + 12H+ -> 5As2O5 + 4Mn2+ -f 6H2O,

(iii)SO2 + I2 + 2H2O -^ H2SO4 + 2HI,

(iv)VOJ" + Fe2+ + 6H+ -> VO2+ -f Fe3+ + 3H2O

ACIDS AND BASES: OXIDATION AND REDUCTION 109

Identify the oxidising agent and the reducing agent in each reaction and write 'half-equations' showing the donation or acceptance of electrons by each of these eight reagents.

(C,S)

Discuss (a) the acidity and (b) the substitution reactions of metal hexa-aquo cations, [M(H2O)6]?I^ (where n — 2 or 3), giving two examples of each type of reaction. Discuss the effect upon the stabilities of the -f 2 and + 3 oxidation states of

(i)increasing the pH in iron chemistry, and

(ii)complex formation (with ligands other than water) in cobalt chemistry.

(JMB, A)

Liquid ammonia, which boils at 240 K, is an ionising solvent. Salts are less ionised in liquid ammonia than they are in water but, owing to the lower viscosity, the movement of ions through liquid ammonia is much more rapid for a given potential gradient. The ionisation of liquid ammonia

is very slight. The ionic product [NH^NH^T] = 10~28 mol2 dm"6 at the boiling point. Definitions of an acid and a base similar to those used for aqueous solvents can be used for solutes in liquid ammonia. This question is mainly about acid-base reactions in liquid ammonia as solvent.

(a)Write the formula of the solvated proton in the ammonia system.

(b)In the ammonia system state, what are the bases correspond ing to each of the following species in the watersystem?

(c)Write equations for the reactions in liquid ammonia of :

(i)sodium to give a base and hydrogen,

(ii)the neutralisation reaction corresponding to :

HCl(aq) -f NaOH(aq) -* NaCl(aq) + H2O(1)

(d)What would the concentration be of NH^T (in mol dm"3) in a solution of liquid ammonia containing 0.01 mol dm"3 of ammonium ions?

(e)The dissociation constant of ethanoic (acetic) acid in liquid ammonia is greater than it is in water. Suggest a reason for the difference.

(N.A)

110ACIDS AND BASES: OXIDATION AND REDUCTION

4.(a) Outline the principles of the method you would use to measure the standard redox potential for the reaction

+8H+ + 5e' -» Mn2+ + 4H2O

(b)The standard redox potentials for Ce4+ /Ce3+ (Ce = cerium) and Fe3+/Fe2+ are + 1,610 V and + 0.771 V respectively. Deduce the direction of the reaction

Ce3+ -f Fe3^ =Ce4+ + Fe2 +

and outline an experiment you could use to find the end point when the reaction is carried out as a titration. (N.B. Both Ce4^ and Fe3+ ions are yellow in aqueous solution.)

(c) What explanation can you offer for the fact that the standard electrode potentials of copper and zinc are -I- 0.34 V and - 0.76 V respectively, although the sumsof the first two ionisation energies for both metals are approximately 2640 kJ mol"l (640 kcal mol" ')?

(CA)

5.The following redox potentials are given for the oxidation of manganese(II) to manganese(III) in acid and alkaline solution.

Acid

 

Mn3+ +e = Mn2+

4- 1.51V

O2 + 4H+ + 4e-2H3 O + 1.23V

Alkaline

 

Mn(OH)3 + e = Mn(OH)2

+ OH" - 0.40V

O2 + 2H2O + 4e = 4OH

+ 0.40V

(a)Would manganese(II) be oxidised to manganese(III) by atmospheric oxygen under

(i)acid

(ii)alkaline, conditions?

(b)What would you expect to happen if anhydrous MnF3 were dissolved in water?

(N,Phys.Sci.,PartI)

6.Discuss the factors which influence the redox potential of a half-reaction, illustrating your answer by as many examples as possible.

(Liverpool B.Sc., Part I)

5

Hydrogen

One of the most readily observed reactions in chemistry is the familiar production of bubbles of a colourless gas when certain metals (for example, iron, zinc) react with dilute acids. Cavendish investigated these reactions rather more than 200 years ago, and found the gas evolved to be the same in each case; the gas, later named hydrogen, was much lighter than air and when burned in air produced water.

Hydrogen in the combined state, mainly as water, hydrocarbons and other organic compounds, constitutesabout 11 % of the earth's crust by weight*. Hydrogen gas is not very reactive; it reacts spontaneously with very electropositive elements (some ot the metals of Groups I and II) and with the very electronegative element fluorine; with other elements, reactions usually require a catalyst— heat or light—and even then may be incomplete. If hydrogen gas is passed through a solution containing a strongly oxidising ion, for example manganate(VII) (permanganate)MnO4 or iron(III). Fe(Jaq), reduction does not take place unless a catalyst is present, and even then it is often slow and incomplete, despite the fact that for the redox system H3O+ + e~ -> jH?(g) + H2O, £^ = OV, i.e. hydrogen is a mild reducing agent. This absence of reactivity does not usually arise because the hydrogen molecule is energetically stable, but rather because it is kinetically stable (p. 64); almost any process in which the hydrogen molecule is to participate must involve the breaking of the H—H bond, which is relatively strong (p. 72), This kinetic stability can be removed by a catalyst (for example heat, light, a metal surface) which breaks up the hydrogen

* Large-scale methods of producing hydrogen are considered in a later chapter fp. 180). "

111

112 HYDROGEN

molecule and allows reaction to proceed. The reactions of hydrogen will now be examined in more detail.

REACTIONS WITH ELECTROPOSITIVE METALS

These give ionic or salt-like hydrides, for example

2Na + H2 -> 2NaH

These solid ionic hydrides (having an ionic lattice and containing the hydride ion H ~) react with water, for example

CaH2 + 2H2O -» Ca(OH)2 + 2H2

i.e.

+ H

We can see that the hydride ion H ~ functions as a very strong base (p, 89) withdrawing a proton from the water molecule and uniting with it to give H2, i.e. H~ + H^ -> H2, a highly exothermic process. It follows that we cannot use these ionic hydrides in aqueous solutions; however, some of them (notably lithium hydride. LiH) can be used in suspension in organic solvents as reducing agents, and others can be converted to complex hydrides which can be used in solution (see below),

The existence of the hydride ion is shown by electrolysis of the fused salt when hydrogen is evolved at the anode. If calcium hydride is dissolved in another fused salt as solvent, the amount of hydrogen

evolved at the anode on electrolysis is 1 g for each

Faraday

of

current (mole of electrons) passed, as required by

the laws

of

electrolysis.

 

 

REACTIONS WITH TRANSITION METALS

Most of these metals only react with hydrogen on heating; the first stage of reaction is the taking of hydrogen on to the metal surface, whereby the hydrogen molecules become attached as hydrogen atoms—a process known as chemisorption, With some metals reaction can proceed further, and hydrogen atoms penetrate into the metal lattice and occupy positions between the metal atoms— interstitial positions, as shown in Figure 5.1.

If all these 'holes' were filled, the hydrogen-metal ratio would be a definite and fixed number; in practice, this rarely happens, and

HYDROGEN 113

these metal hydrides or interstitial hydrides may have variable composition (for example TiHx 7), depending on the uptake of hydrogen, i.e. they are non-stoichiometric. One further property in particular distinguishes these metal hydrides from the ionic hydrides; in the latter, uptake of hydrogen is not only quantitative but causes a contraction, i.e. the centres of the metal atoms (which become

Figure 5.1. Interstitial positions between layers of metal atoms

cations) move closer togetherthe metal lattice is, as it were,drawn together. In the metal hydrides, there is no such contraction, and, indeed, the metal atoms may move apart slightly. Hence formation of an ionic hydride leads to an increase in density, but formation of a metal hydride causes a decrease in density.

REACTIONS WITH NON-METALS AND WEAKLY ELECTROPOSITIVE METALS

Most of the elements of Groups III to VII form hydrides which are essentially covalent. Some examples are Group IV, methane CH4; Group V, phosphine PH3; Group VI, hydrogen sulphide H2S; Group VII, hydrogen chloride, HC1. There are several points to notice about these covalent hydrides. First, they are nearly all volatile liquidsor gases; but the simple hydridesNH3, H2O and HF, formed from the head elements of Groups V-VI1, show hydrogen bonding characteristics which make them less volatile than we should expect from the small size of their molecules (p. 52).

Secondly, the ability to form more than one hydride falls off as we go across a period. Thus, in Period 1. boron and carbon both form whole families of hydrides, nitrogen forms three (ammonia. NH3; hydrazine. N2H4; hydrazoic acid. N3H). oxygen two (H2O. H2O2) and fluorine one (HF). Again, as we descend a group, the energetic stability of the hydrides decreases—indeed, many hydrides are endothermic. and need indirect methods to supply the necessary energy for their preparation. In Group IV, methane is exothermic,

114 HYDROGEN

the others are endothermic and plumbane PbH4. the last hydridein the group, is almost too unstable to exist at all. (We shall note some of the methods needed to prepare these less stable hydrides in later chapters.) Since the stability of the typical hydride (i.e. that in which the element shows its group valency) falls off.it is hardly surprising to find that the lower elements in a group do not form families of hydrides (for example, in Group IV carbon and silicon form numerous hydrides, germanium forms a few.tin forms one (stannane. SnHJ and lead just manages to form PbH4).

The most important trend to be noted in the covalent hydrides is

the change in acid-base behaviour as we cross

a period from

Group IV to Group VII. In Period 1, we have

 

CH4

NH3

H2O

HF

no acidic or

basic

basic

acidic

basic properties

(very weakly acidic)

and acidic

(weakly basic)

This change in properties cannot be simply accounted for in terms of bond energies; the mean X—H bond energy increases from nitrogen to fluorine, and hydrogen fluoride has a large bonddissociation energy (566kJmol~1). But we note that in the CH4 molecule there are no lone pairs of electrons—all four valency electrons are involved in bonding. In ammonia, there is one lone pair, which as we have seen can be donated either to a proton (making ammonia a Lowry-Br0nsted base, NH3 + H+ ^NH^) or to another acceptor molecule (making ammonia a Lewis base, p. 91). The molecules H2O and HF have two and three lone pairs respectively; falling-off of base strength implies that the presence of more than one lone pair reduces the donor power of the molecule. But, obviously, the appearance of acidic behaviour implies that the bond X—H is more readily broken heterolytically i.e. to give X~ + H+. We may ascribe this to polarity of the bond, i.e. by saying that the pair of electrons in the covalent H—F bond is closer to the fluorine than to the hydrogen. Unfortunately, there is no very sure

method

of ascertaining this bond polarity (the fact that hydrogen

fluoride

HF has a dipole moment means

that the molecule as a

 

+

whole is polar in, presumably, the sense H—F, but this does not necessarily tell us about the bond polarity). Another way of describing this trend towards acidity is to say that the electronegativity of the element increases from carbon to fluorine. We may simply note that this trend to acidity is also apparent in other periods, for example, in Period 3, silane SiH4 is non-acidic and non-basic.

HYDROGEN 115

phosphine PH3 is weakly basic, hydrogen sulphide H2S is weakly acidic and hydrogen chloride HC1markedly acidic. We should note that these descriptions 4basic' and 'acidic' refer to solutions in water; a gaseous hydrogen halide does not display acidity (p.87).

COMPLEX HYDRIDES

A non-metal or weakly electropositive metal X in Group III of the periodic table would be expected to form a covalent volatile hydride XH3. In fact, the simplest hydride of boron is B2H6 and aluminium hydride is a polymer (A1H3)B.

The structure of diborane B2H6 is considered later (p. 145). Here we may note that kBH3' and kA!H3' will be acceptor molecules since there are only six valency electrons around the B or Al atom and a vacant orbital exists. Both in fact can accept the electron pair from a hydride ion thus:

BH3 4- H~ -^BH4

"borane"

tetrahydridohorate or

 

horohydride

AiH3 + H-

-» AIH;

"alane'

tetrahydroaluminate or

 

aluminohydride

Salts containing these ions can be prepared for example. b> the reaction

4LiH + A1C13 -^U LiAlH4 + 3LiCl

LiAlH4, lithium tetrahydridoaluminate (lithium aluminium hydride', so-called) is an excellent reducing agent in ether solution for both organic and inorganic compounds; it may be used to prepare covalent hydrides SiH4, PH3* from the corresponding chlorides in ether, for example

SiCl4 + LiAlH4 -> LiCl + A1C13 + SiH4

silicon

silane

tetrachloride

 

The tetrahydridoborate ion, as 'sodium borohydride' NaBH4 is soluble in water and is similarly an excellent reducing agent in this solvent. (Lithium tetrahydridoaluminate cannot be used in water, with which it reacts violently to give hydrogen.)

This method produces an endothermic hydride by indirect means.

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