Therefore,
r ¼ k
0 A 1
½ Š
v 1
;
lnr ¼ lnk
0
þ v 1 ln A 1
½ Š
ð2:1:11Þ
and reaction kinetic order regarding A 1 is
v 1 ¼
d lnr
f g
d ln A 1
½ Š
f
g
ð2:1:12Þ
One can determine reaction kinetic orders regarding A 2 , A 3 , and so on. The real
reaction order is equal to the sum of reaction kinetic orders regarding A i .
As it mentioned above, the stoichiometric equation (2.1.6a) does not describe the
real reaction mechanism of the sodium vapor burning in chlorine, and the reaction
(2.1.6b)
Cl 2 þ 2Na ! 2NaCl
ð2:1:6bÞ
is a complex one. One can suppose that, at small Na and Cl 2 concentrations and
[Na] << [Cl 2 ], this process is described by reactions
Cl 2 þ Na ! NaCl þ Cl
ð2:1:13Þ
Cl þ Na !
M NaCl;
ð2:1:14aÞ
reaction (2.1.14a) can be also written as
Cl þ Na þ M ! NaCl þ M:
ð2:1:14bÞ
The reaction (2.1.14a, b) is a termolecular reaction, M is a species, a third body,
which stabilizes the (Na … Cl)
# quasi-molecule (
# is vibrational-rotational
ln[A 1 ]
lnk ,
lnr
Fig. 2.1 To the van’t Hoff
method
2.1 Rates of Reaction, Collisional, and Spontaneous Processes …
9