Go to National Library of New Zealand Te Puna Mātauranga o Aotearoa
Volume 69, 1940
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Discussion.

According to equation (5) the hydrolytic side reaction should involve collision between anilide molecules, hydrogen ions and solvent molecules.

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Application of the usual formula: k3 = No/1000 2 { 8π RT (1/M1 + 1/M2)} e —E/RT (6) for the reaction rate in terms of molecular radii and velocities, on the assumption that reaction is caused by binary collisions of activated molecules leads to a calculated velocity constant some 1300 times larger than the observed. We may assume a probability factor of a reasonable magnitude to allow for this, but alternatively we may note that the kinetics of the reaction according to equation (5) necessitate the participation of water molecules in the binary collisions. In this respect the reaction resembles the iodination of β-phenylpropiolic acid (Moelwyn-Hughes and Legard, 1933) and the decomposition of hydrogen peroxide catalysed by iodide ion (Hender and Robinson, 1933), and the equation which was found applicable in these eases should apply here:

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k2 = No/1000 3 π ζ/2mAnW e —E′/RT

where N0 is Avogadro's Number, ζ is the solvent viscosity, σ the mean diameter, mA the molecular mass of one of the reacting species, nW the number of solvent molecules per c.c. and E′ is the energy of activation corrected for a viscosity variation. Although the theoretical basis of this equation may be somewhat insecure, its success in a number of applications justifies its use as an empirical indication that solvent molecules participate in the reaction. It is therefore encouraging to find that, using the corrected value E′ = 23,350 cal. the calculated value of the velocity constant is in reasonable agreement with that found experimentally. There is, indeed, no difficulty in accounting for the kinetics of this reaction.

Turning now to a consideration of the main reaction we have two problems, (1) the neutral salt effect and (2) the temperature coefficient. If we adopt the view that the acid, catalyst is for all practical purposes completely dissociated, then we can only conclude

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that in the presence of neutral salts there is a “primary neutral salt effect” in a negative direction and leave a further explanation until more is known about the general question of primary salt effects. On the other hand, it has been claimed that this anomaly can be removed by assuming that catalysis is due to undissociated acid molecules. This view can be shown to be erroneous, for let Ka be the acid dissociation constant, then

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KA=γ H γ Cl C H C Cl/C HCl.

since the activity coefficient of the undissociated molecule may be taken as unity. The rate of reaction is now given by:

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—d[A]/dt = k[A]C HCl = k″[A]γ H γ ClC H C Cl

This view, therefore, leads to an equation identical with that which is deduced on the assumption of complete dissociation; in fact, the two postulates cannot be distinguished by experiments at a single temperature.

The temperature coefficient of the reaction may, however, distinguish between the two postulates. Before proceeding further with the argument, it will be necessary to make some assumption as to the number of ternary collisions which can occur in a given time. The number of binary collisions per c.c. per sec. is:

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Z12 = n1 n2 σ2 { 8 π R T (1/M1 + 1/M2)}

where M1 and M2 are molecular weights and n1 and n2 the number of molecules of each species per c.c.

A ternary collision will occur if at the moment of impact the third molecule is within a specific distance r of the complex formed by the first two molecules. The probability of this is ¾ π r3 n3, so that:

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Z123 = 4/3 π n1 n2 n3 r3 σ 2 { 8 π RT (1/M1 + 1/M2)}

where n3 is the number of molecules of the third kind per c.c.

The number of molecules decomposing per c.c. per sec. is then:

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—dn/dt = 4/3 π n1 n2 n3 r3 σ2 {8 π R T (1/M1 + 1/M2)} P e —E/RT

P being an orientation factor which is probably low for trimolecular reactions. Consequently:

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k3 = 80π (No/1000)2 r3 σ2 {8 π R T (1/M1 + 1/M2)} Pe —E/RT

The data of Stern (1904) for the polymerisation of benzaldehyde in the presence of cyanide ions are given by:

—13000/RT

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k3 = 3.16 × 107 e

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Similarly the data of Bailey (1930) on the reaction between ammonia and ethyl malonate are given by:

—8620/RT

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k3 = 2-46 × 108 e These reactions can be brought into line with the above equation, assuming reasonable molecular diameters, r = σ = 5 Å, if P is of the order of 10-5.

These calculations have no claim to accuracy, but they serve to demonstrate that termolecular reactions in solutions can be accounted for, at least qualitatively, the point to be emphasised being that the observed rate is lower than the calculated, as would be expected in view of the peculiar orientation of molecules necessary for such reaction. The decomposition of N-chloracetanilide can be represented by the equation:

—20800/RT

k3 = 1014 e (7) whereas the calculated value of the collision factor is of the order of 1012. Since errors in our theory will tend to give too high a value to this collision factor, we may conclude that our results are not consistent with the hypothesis of ternary collision.

It may be, however, that reaction occurs between anilide molecules and undissociated acid molecules according to the approximate equation:

—d[A]/dt =k [A] C HCl, in which case k should be capable of calculation by means of equation (6). An approximate estimate of the dissociation constant of hydrochloric acid has already been made (Robinson, 1936) and thence we may calculate the following values for C HCl in 0.3 M solution at different temperatures whilst the experimental data for the rate of reaction gives values of k as follows:

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°C 15 25 35 45 55
CHCl × 108 2.49 6.92 18.4 46.2 105
k × 10-4 4.8 5.9 6.7 7.9 9.5

These velocity constants can be represented by the equation:

—20800/RT

k = 8 × 106 e (7) with an experimental value for the collision factor of 8 × 106, whilst the value for the collision factor calculated by equation (6) is of the order 1013. This implies that only one in about 106 of the activated collisions is effective, but it is encouraging to find that the value from the experimental data is less than the calculated, as would be expected for a reaction of this type; indeed, Rolfe and Hinshel-wood (1934) found a probability factor of 107 for the esterification of methyl alcohol catalysed by undissociated acetic acid molecules. We have therefore a reasonable hypothesis to account for the temperature coefficient of this reaction. We may be tempted to identify these undissociated hydrochloric acid molecules with the “ion pairs” of Bjerrum's association hypothesis, but that such is unlikely may be shown by a consideration of the energy magnitudes involved. The energy liberated when an ion pair is formed is of the order of 2 k T,

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i.e., about 1200 calories per gram-molecule (vide Fuoss and Kraus, 1933), whereas the undissociated molecules we are considering are formed with an absorption of about fifteen times as much heat, i.e., a greater part of the apparent energy of activation, is really the energy necessary for the formation of these undissociated molecules. Again, according to Harned and Ehlers, the mean diameter of the hydrogen and chlorine ions is 4.3 Å and it is doubtful if under these conditions any ion pairs can be formed. For this reason we do not believe that ion pairs function as the catalyst; but that undissociated molecules exist in very small amount, formed by means of a covalent bond in equilibrium with similar molecules in the gaseous phase.

Finally, if we adopt Brönsted's view (1922) that the rate of reaction is governed by the formation of a “critical complex,” it can be shown that the neutral salt effects observed in this reaction, whilst not explicable quantitatively, are at least not inconsistent with the activity rate hypothesis. For on Brönsted's theory the rate of reaction will be given by:

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— d [A] /dt = k1 [A] C H C Cl γ H γ Cl γ: NCl/γx

where γx is the activity coefficient of the “critical complex.” The introduction of this additional factor will not influence to any serious extent the validity of the argument we have already pursued with regard to the temperature coefficient of this reaction for γx will not vary greatly with temperature, but its variation with the addition of neutral salts will be important. Now it will be reasonable to postulate that γx γ: NCl will vary in a similar manner with the ionic strength of the solution; thus, without assuming identity of γx and γ: NClit is reasonable to believe that if γ: NCl is large and positive then γx will also be positive and of comparatively large magnitude and vice versa if γ: NCl is negative, whereas if γ: NCl is nearly unity then γx also will not be far removed from unity. In the limiting case where γx = 1 then Brönsted's equation reduces to equation (1) with the inclusion of γ: NCl an equation which we have substantiated in the absence of neutral salts. The coincidences of these two equations would depend therefore on the close approach of γx to unity in pure hydrochloric acid solution; this is probable since γ: NCl is not far removed from unity. In potassium chloride solution however the observed values of the “constant” K in Table III diminish with increasing salt concentration which would be expected if γx increased with addition of salt, a hypothesis which is also probably correct since γ: NCl undergoes a considerable increase under these circumstances. A similar behaviour was observed by Dawson and Millet in sodium chloride solution. Data have also been obtained for sodium nitrate and perchloric acid solutions, but these are not susceptible to treatment in the absence of activity coefficient data for hydrochloric acid in these solutions. We may conclude, however, that, viewed in the light of Brönsted's theory, there is nothing in these neutral salts effects which can be demonstrated to be contrary to the activity rate theory.