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Chemical kinetics 'i7
0
Solution. Substituting k = 1 . 0 x 1 0 - 1 s - 1 . Ea = 1 1 1 kJ mol - 1 , '/'
300°K, and R = * 8 . 3 14 x 1 0 - 3 kJ mo1 - 1 K - 1 into Eq. (3.9) gives
l .O x t o - 10
A = ( - 1 1 ) s - 1 = 2 . l x l 0 9s - 1
1
exp 14
(8 3 . x 1 0 - 3 )300
u
If we now assume (as is s ually done) that A and Ea do not vary with
1
temperature, we can substitute A = 2 . 1 x l 09 s - 1 , Ea = 1 1 kJ mol - 1 ,
1
R = * 8 . 3 1 4 x 1 0 - 3 kJ mo1 - K - 1 , and T = 273K into Eq. (3.9) to obtain
the rate constant at 273 . Hence,
K
( - l l l )
1 0
12
k27 K 3 - 2 . l x 1 0 exp (S . 3 14 x _ 3 273 s - l . 2 x 10 - s - I
- I _
_ 9 )
3.6 Catalysis
A catalyst is a substance that increases the rate of a chemical reaction
without itself undergoing a permanent chemical change. Thus, the
catalyst does not appear in the net chemical equation for the reaction,
although its presence may be indicated above the arrow in the equa
tion. Generally, a catalyst increases the chemical reaction rate by
providing an alternative pathway that has a lower activation energy.
If the reactants and the catalyst are in the same phase, the catalysis
is said to be homogeneous. A heterogeneous catalyst exists in a differ
ent phase from the reactant molecules.5
To illustrate a homogeneous catalyst consider the reaction
In the absence of a catalyst this reaction proceeds in the forward
n
directio , but very slowly. However, it can be catalyzed by bromine
(Br 2 ) . This catalysis occurs in two steps. First
then,
2Br ( aq) + H202(aq) + 2H + (aq)� Brz(aq) + 2H20(1)
-
Adding the last two equations we get for the net reaction