Law of mass Action
This low is stated as below:
“The
rate at which a substance reacts is directly proportional to its molar
concentration and hence the rate of a chemical reaction is proportional to the
product of the active masses of the reactant species at a given temperature”
Consider a reaction: A+ B
products
Rate of
reaction α [A] [B] where [A] = molar conc. Of
reactant A.
[B]= molar
conc. Of reactant B.
Also consider a general reaction: aA + bB + cC products
Rate of
reaction α [A]a [B]b [C]c = k [A]a[B]b[C]c
Here k=
rate constant of the reaction at a given temperature.
Thus, the
law of mass action is defined as:
“The rate
of the reaction is directly proportional to the products of the active mass of
the reactant spices, every raises to the power equal to its coefficients as
represented by the balanced chemical eqn at a given temp.”
Le-Chatelier’s Principle
According
by this principle: “If a system in equilibrium is subjected to a change in
conc. , pressure and temp. , the equilibrium shifts in the direction that tends
to undo the effect of the changes”:
This
principle helps in predicting the effect of change in concentration, pressure
or temperature at the state of equilibrium.
(a) Effect
of change of concentration.
For a reaction
in equilibrium at a particular temperature, if the conc. Of one of the reactants is
increased, the equilibrium will shifts towards the product side after partially
using the reactant.
Consider
the following reaction at equilibrium.
H2
(g) + I2(g) D 2HI (g);
Kc = [HI]/ [H2] [I2]
If at the
state of equilibrium, the conc. Of H2 or I2 is increased, then more of HI will
be formed so as to keep Kc constant. Also if the molar conc. Of HI is increased at
equilibrium, the equilibrium shifts to the left, thereby increasing the conc.
of H2 and I2 so as to keep Kc constant.
(b)Effect of
Pressure. If the system in equilibrium consists of gases, then the state of
equilibrium is distributed by the change of pressure.
(I)Consider
that number of gaseous moles on the reactant side is more than the number of
gaseous moles on the product side in an equilibrium reaction. Then the increase
in pressure favours the formation of products. For example:
N2 (g) + 3H2
(g) D
2NH3 (g)
For
such reactions, increase in pressure shifts the equilibrium towards right and
the formation of ammonia is favoured.
(ii)Consider
that number of gaseous moles on the reactant side is less than the number of
gaseous moles on the product side in an equilibrium reaction. Then, the
increase in pressure shifts the equilibrium in the backward direction.
For
example: N2O4 (g) D
2NO2 (g)
For
such reactions, the increase in pressure does not favour the formation of
product.
(iii)Consider
that the number of gaseous moles on the reactant side is equal to those on the
product side. Then, the change in pressure does not change the state of
equilibrium. Examples of reactions are: H2 (g) + I2 (g) D
2HI (g)
N2 (g) + O2 (g) D 2NO (g)
(c)Effect
of Change of Temperature. According to le-chatelier’s
principle.
(i)
If
the temperature of the system in equilibrium is increased. Then equilibrium
shifts in a direction in which heat is absorbed. It may be noted that if a
reaction is exothermic in the forward direction, it is equally endothermic in
the backward direction.
An increase in temperature
favours the endothermic reaction whereas decrease in temperature favours an
exothermic reaction.
Example: Consider the formation of ammonia:
N2 (g)
+ 3H2 (g) D 2NH3 (g) ∆H=-92kJ
It is exothermic in the forward direction.
Clearly, it is endothermic in the backward direction. Thus, the formation of NH3is favoured by
decrease in temperature.
(d)Effect of catalyst. The addition of a catalyst increases the rates
of the opposing reaction to the same extent. This hastens the approach of
equilibrium.
Thus, a catalyst has no effect
on the state of equilibrium.
(e)Effect of adding an inert gas
(I) If the inert gas is added to the
equilibrium system at constant volume, then the total pressure will increase.
The molar concentrations of the reactant and the product species will not
change. Hence, the state of equilibrium will not change.
(ii)If the
inert gas is added at constant pressure, there will be net increase in volume.
Due to this, the molar concentration of reactant and product species will
decrease.
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