J. CHEM. RESEARCH (S), 1998 671
Table 1 Parameters used for plots of eqn. (9)
[H2SO4]/
and there are deviations from eqn. (9); values of log (k2/ab)
are greater than predicted from the equations in Table 1 for
the aliphatic amides. The measurements for the aromatic
amides were not extended to such high acidities. It is poss-
ible that an extra pathway comes into play at high acidities.
3
R
Slope
Intercept
mol dm
pKA
1.40
(CH3)3C*
ClCH2
CNCH2
1.2120.02 7.2220.08 2.8 to 9.3
1.0120.03 5.8420.12 2.8 to 9.3
0.9220.04 5.2120.16 3.4 to 9.1
1.0320.06 5.1220.23 2.8 to 9.3
1.2220.04 7.4020.16 5.5 to 10.4
1.2920.07 7.4720.27 5.5 to 10.5
1.3220.04 7.5420.13 3.2 to 10.5
2.74
3.73
4.18
1.67
2.02
1.97
1.54
2.70
Finally we turn to
a consideration of the diering
reactivities of the amides studied. Since there are variations
in the slopes of the plots of eqn. (9) it is simplest to make
comparisons at a given sulfuric acid concentration by substi-
tuting the appropriate value of H0. The same reactivity
sequence is obtained over our range of acidities. For the
aliphatic amides it is (CH3)3C>ClCH2>CNCH2>Cl2CH,
which is the same as the sequence of pKA values. For the
aromatic amides the sequence is p-CH3O>p-CH3>p-Br>
p-Cl>p-NO2, again the same sequence as the pKA values,
except for the interchange of positions of chlorine and
bromine which are very close together anyway. Clearly the
greater the electron releasing power of R in RCONH2
Cl2CH
p-MeC6H4
p-BrC6H4
p-ClC6H4
p-MeOC6H4 1.2820.02 7.9020.07 3.1 to 9.1
p-NO2C6H4 1.2520.05 6.9920.19 5.5 to 10.2
*Corrected from 0 to 25 8C.
terms of KNO, hR, KA and hA in the previous paragraph.
To allow for the variation of k3KE with 1/h0 we write
k3KE=k4/h0. With these substitutions, and the assumption
that there is only a small fraction of the amide present as
RCONH2NO , we obtain eqn. (9).
the higher is the reactivity. The addition of NO to the free
amide may be expected to vary with R in the same sense as
logꢀk2=ab log k4 H0
ꢀ9
the addition of H , and this is undoubtedly favoured by
Plots of this type yielded good straight lines with slopes
between 0.92 and 1.27 over the range of acidities speci®ed in
Table 1. Values of pKA for aliphatic amides are due to
Liler6 and for aromatic amides come from the review7 by
Boyd. The value for (CH3)3CONH2 comes from our own
work8 based upon NMR measurements, and is very close
to Liler's value. Although our model gives a reasonably
satisfactory description of the data the choice of H0 was
arbitrary. However most acidity functions vary in an
approximately linear manner with [H2SO4] in the higher
range of acid concentrations, and so the choice of other
acidity functions to describe the variation of KEk3 would
still have yielded linear plots, though with dierent slopes.
Since of the use of 1/h0 is a purely empirical measure of the
ability of the medium to accept a proton we do not oer
any comment on the variation of the slopes. There must be
considerable dierences in the solvation of the aliphatic
amides in view of the dierences in R; for the aromatic
amides which all have a phenyl ring the slopes are quite
similar. An alternative explanation of the dependence of
k2/ab upon 1/h0 would be an acid±base equilibrium for (5)
followed by a rate-determining rearrangement as in eqn. (6).
However as Williams5 points out the evidence for a rate-
determining loss of a proton is very strong, so we reject this
alternative.
electron release by R. Step (5) however involving proton
loss will be reduced in rate by increase in electron release by
R. We conclude therefore that the reactivity in the reaction
of nitrous acid with primary amides is controlled by the
basicity of the amide, by favouring the formation of an
amide Á NO species, and that this is more important than
the eect on the rate of proton loss.
Experimental
Materials.ÐThe amides used were either commercially available
materials (Aldrich, BDH, Koch-Light) or were prepared from the
acid chlorides by addition to stirred, ice-cold 0.88 ammonia. In
some cases the acid chlorides were prepared by reaction of thionyl
chloride with the carboxylic acid. The amides were recrystallised
from water to constant melting point.
Kinetic Methods.ÐSome reactions were followed by colorimetric
analysis for nitrous acid involving diazotisation of sulfanilic acid
and coupling with alkaline 2-hydroxynaphthol-3,6-disulfonic acid.
Other reactions were followed by direct UV spectrophotometry
at wavelengths where nitrite absorbed. For slow runs a blank exper-
iment was carried out to correct for the self-decomposition of
nitrous acid.
Thanks are due to the University of Mosul for study
leave (to K. A.-M.)
Although the present model gives a reasonable description
of the data in terms of the generally accepted mechanism,
it is important to realise its limitations. One concerns
Received, 17th June 1998; Accepted, 10th July 1998
Paper E/8/04600J
the value used for pKNO
. Various values have been
suggested,9,10 and in his interpretation of the kinetics of
diazotisation in dilute acid Ridd used11 a value of ca. 6.5,
which yields limiting rates in good agreement with the calcu-
References
1 M. N. Hughes and G. Stedman, J. Chem. Soc., 1964, 5840.
2 M. L. Bender and H. Ladenheim, J. Am. Chem. Soc., 1960, 82,
1895.
3 J. Jaz and A. Bruylants, Bull. Soc. Chim. Belges, 1961, 70, 99.
4 J. H. Ridd, Q. Rev. Chem. Soc., 1961, 15, 418.
5 D. L. H. Williams, in Nitrosation, Cambridge University Press,
Cambridge, 1988, p. 101.
lated value of the encounter rate between NO and ArNH2.
As we are concerned with data over a wide range of sulfuric
acid concentration, using the HR data to describe (2) we
prefer to use the more negative ®gure of 8.11 deduced by
Deno et al.12 when ®tting spectrophotometric estimates of
6 M. Liler, J. Chem. Soc. B, 1969, 385.
[NO ]/[HNO2] to his HR data obtained by the ionisation of
7 J. H. Boyd, in Solute±Solvent Interactions, ed. J. F. Coetzee and
C. D. Ritchie, Marcel Dekker, New York, 1969, vol. 1, ch. 3,
p. 97.
8 K. Al-Mallah, Ph.D. Thesis, University of Wales, 1974.
9 Stability Constants, Special Publication No. 17, The Chemical
Society, London, 1964, p. 163.
10 Stability Constants, Special Publication No. 25, The Chemical
Society, London, 1971, p. 91.
11 J. H. Ridd, Adv. Phys. Org. Chem., 1978, 16, 1.
12 N. C. Deno, H. E. Berkheimer, W. L. Evans and H. J. Peterson,
J. Am. Chem. Soc., 1959, 81, 2344.
arylcarbinol indicators. At lower [H2SO4] changing the
value of pKNO merely displaces the line of log (k2/ab) versus
H0 without signi®cantly changing the slope. As HR
approaches pKNO the choice is more important. We tried
using pKNO
concentrations greater than 6.5 mol dm
=
6.5, but found deviations at sulfuric acid
3
,
whereas with
Deno's value linearity was observed up to the speci®ed con-
centrations shown in Table 1. We have also extended a few
3
measurements to higher acidities, [H2SO4] 13.1 mol dm
,