Reaction Kinetics Flashcards
Rate of reaction
The change in concentration of reactant or product per unit time.
rate of reaction = change in concentration of a reactant or product/
time taken
units: mol dm–3 s–1 or mol dm–3 min–1 or mol dm–3 h-1
Rate of reaction is always a positive value.
Since the [reactant] is decreasing, d[reactant] is a negative value. The minus sign ensures that rate of
reaction is a positive value.
2 types of reaction
(A) Instantaneous Rate
It is the rate at a particular time i.e. the rate at a particular instant during the reaction.
(B) Initial Rate
It is the instantaneous rate at time, t = 0. It is the instantaneous rate at the start of the reaction,
when an infinitely small amount of the reactant has been used up.
Rate equation
aA + bB → cC + dD
Experimentally, it can be shown that the rate of the reaction can be related to the concentrations of
individual reactants by a rate equation (or rate law),
rate = k[A]^m[B]^n
where
[A] = concentration of reactant A in mol dm−3
[B] = concentration of reactant B in mol dm−3
k = rate constant
m = order of reaction with respect to [A]
n = order of reaction with respect to [B]
m + n = overall order of reaction
Rate equation/law
The rate equation is a mathematical expression that is experimentally
determined to show the exact dependence of the rate of reaction on the
concentrations of all the reactants.
rate constant, k
The rate constant, k, of a reaction is the constant of proportionality in the
experimentally determined rate equation.
overall zero order reaction : mol dm–3 s–1
overall first order reaction: s-1
overall second order reaction : mol-1dm3s-1
In general, units of k is (mol dm−3)^1−ntime^−1
, where n is the overall order of the reaction.
order of reaction
The order of reaction with respect to a given reactant is the power to
which the concentration of that reactant is raised to in the experimentally
determined rate equation.
overall order of reaction
The overall order of a reaction is the sum of the powers of the
concentration terms in the experimentally determined rate equation.
Zero order reaction
A zero-order reaction is one in which the reaction rate is independent of the concentration of the
reactant, i.e. the rate is unaffected by changes in the concentration of the reactant, i.e. rate[A]0.
First order reaction
A first-order reaction is one in which the reaction rate is directly proportional to the concentration
of a single reactant i.e. rate [A]1
First-order reaction has a constant half-life, t1⁄2, (time taken for the concentration of a reactant to decrease to half its initial value.
Second order reaction
A second-order reaction is one in which the reaction rate is proportional to the product of the
concentrations of two reactants (e.g. rate [A][B], where A and B are reactants) or to the
concentration of a single reactant raised to the power of two (e.g. rate [A]^2).
Half life
The half-life, t1⁄2, of a reaction is the time taken for the concentration of a reactant to decrease to
half its initial value.
For first order reaction, half-life can be calculated by:
t1⁄2 =ln 2/k
The number of half-lives at a particular time, t, can be calculated by
final concentration of reactant/
initial concentration of reactant = (1/2)^n
where n = number of half-lives.
Pseudo order reaction
Under certain conditions, a second order kinetics can be approximated to as first order kinetics. The
reactions are termed pseudo first order reaction. There are three situations to consider,
* presence of large excess of a reactant;
* the solvent used is also the reactant; and
* presence of a catalyst.
Collision theory
The collision theory is important in explaining the rate of reaction in terms of particle collisions and energy profile of a chemical reaction.
Conditions for chemical reaction to occur
- reactant particles undergo collisions;
- collisions take place with the minimum amount of energy known as activation energy, Ea; and
- collisions have the correct geometry (i.e. reactant particles are correctly oriented with respect
to each other)