Le Chateliers Principle on Equilibrium

Le Chateliers Principle on Equilibrium

Many chemical reactions that have industrial importance such as synthesis of ammonia are reversible in nature. It is important to know the reaction conditions to produce maximum yield. If a system at equilibrium is disturbed by modifying the reaction conditions, then the system adjusts itself the new conditions to re-establish the equilibrium.

The effect of change in reaction conditions such as temperature, pressure and concentration etc. on a system at equilibrium can be predicted by Le Chatelier-Braun principle.

It states that “If a system at equilibrium is disturbed, then the system shift itself in a direction that nullifis the effect of that disturbance.”

Le-Chatelier's Principle

Effect of Concentration

At equilibrium, the concentration of the reactants and the products does not change. The addition of more reactants or products to the reacting system at equilibrium causes an increase in their respective concentrations.

According to Le Chatelier’s principle, the effect of increase in concentration of a substance is to shift the equilibrium in a direction that consumes the added substance.

Let us consider the reaction

H2(g) + I2(g) ⇄ 2HI(g)

The addition of H2 or I2 to the equilibrium mixture, disturbs the equilibrium. In order to minimize the stress, the system shift the reaction in a direction where H2 and I2 are consumed. i.e., the formation of additional HI would balance the effect of added reactant. Hence, the equilibrium shift to the right (forward direction) i.e. the forward reaction takes place until the equilibrium is re-established. Similarly, removal of HI (product) also favours the forward reaction.

If HI is added to the equilibrium mixture, the concentration HI is increased, and system proceeds in the reverse direction to nullify the effect of increase in concentration of HI.

Le-Chatelier's Principle

Let us explain the effect change in concentration by considering the formation of HI from H2 and I2. At equilibrium, the concentrations of HI, H2 and I2 are 1 M, 0.2 M and 0.1 M respectively.

Le-Chatelier's Principle img 1

The equilibrium was disturbed by adding 0.1 M iodine to the reaction mixture. After sometime, the concentration of HI is found to be 1.092 M. Let us verify whether the system proceeds to re-establish the equilibrium according to Le Chatelier’s principle.

Le-Chatelier's Principle img 2

Now,
Concentration of HI = 1 + 2x = 1.092 M
2x = 0.092
x = 0.046 M

Therefore, the concentration of hydrogen and iodine at this stage,

[H2] = 0.2 – X = 0.2 – 0.046 = 0.154
[I2] = 0.2 – X – 0.2 – 0.046 = 0.154

The reaction quotient Q at this stage,

Le-Chatelier's Principle img 3

The Q value is equal to Kc value.

So, we can conclude that the system has reestablished the equilibrium at this stage and the addition of iodine results in the increase in the HI concentration.

Le-Chatelier's Principle img 4

Effect of Pressure

The change in pressure has significant effect only on equilibrium systems with gaseous components. When the pressure on the system is increased, the volume decreases proportionately and the system responds by shifting the equilibrium in a direction that has fewer moles of gaseous molecules. Let us consider the synthesis of ammonia from nitrogen and hydrogen.

N2(g) + 3H2(g) ⇄ 2NH3(g)

Let the system be allowed to attain equilibrium in a cylinder with a piston. If we press the piston down to increase the pressure, the volume decreases. The system responds to this effect by reducing the number of gas molecules. i.e. it favours the formation of ammonia. If we pull the piston upwards to reduce the pressure, the volume increases. It favours the decomposition of ammonia

Le-Chatelier's Principle img 5

However, when the total number of the moles of the gaseous reactants and the gaseous products are equal, the change in pressure has no effect on system at equilibrium.

Let us consider the following reaction

H2(g) + I2(g) ⇄ 2HI(g)
2 moles of reactants ⇒ 2 moles of products

Here, the number of moles of reactants and products are equal. So, the pressure has no effect on such equilibrium with Δng = 0.

Le-Chatelier's Principle

Effect of Temperature

If the temperature of a system at equilibrium is changed, the system responds by shiftng the equilibrium in the direction that attempts to nullify the effect of temperature.

Let us consider the formation of ammonia.

Le-Chatelier's Principle img 6

In this equilibrium, the forward reaction is exothermic i.e. heat is liberated while the reverse reaction is endothermic i.e. heat is absorbed.

If the temperature of the system is increased (by supplying heat energy), the system responds by decomposing some of the ammonia molecules to nitrogen and hydrogen by absorbing the supplied heat energy. Similarly, the system responds to a drop in the temperature by forming more ammonia molecules from nitrogen and hydrogen, which releases heat energy.

We have already learnt that the change in pressure or concentration causes a change in the equilibrium concentration such that the equilibrium constant remains the same. However, in case of change in temperature, the equilibrium is reestablished with a different equilibrium constant.

Le-Chatelier's Principle

Effect of a Catalyst

Addition of a catalyst does not affect the state of the equilibrium. The catalyst increases the rate of both the forward and the reverse reactions to the same extent. Hence, it does not change the equilibrium composition of the reaction mixture. However, it speeds up the attainment of equilibrium by providing a new pathway having a lower activation energy. For example, in the synthesis of NH3 by the Haber’s process iron is used as a catalyst. Similarly, in the contact process of manufacturing SO3, platinum or V2O5 is used as a catalyst.

Effect of Inert Gas

When an inert gas (i.e, a gas which does not react with any other species involved in equilibrium) is added to an equilibrium system at constant volume, the total number of moles of gases present in the container increases, that is, the total pressure of gases increases the partial pressure of the reactants and the products are unchanged. Hence at constant volume, addition of inert gas has no effect on equilibrium.

Table 8.3: Effect of concentration, pressure, temperature, catalyst and Inert gas on equilibrium

Le-Chatelier's Principle img 7

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