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"Chemical Equilibrium"
Neet Chemistry Notes For Class 11

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Chemical Equilibrium Class 11 Chemistry Notes


CHEMICAL EQUILIBRIUM

REVERSIBLE REACTIONS

Reactions which do not always proceed to completion and may be made to proceed in the opposite direction under suitable conditions are called reversible reactions e.g.
3Fe + 4H2O neet chemistry notes for chemical equilibrium class 11 Fe3O4 + 4H2
H2 + I2 neet chemistry notes for chemical equilibrium class 11 2HI
N2O4 neet chemistry notes for chemical equilibrium class 11 2NO2
N2 + 3H2neet chemistry notes for chemical equilibrium class 11  2NH3

IRREVERSIBLE REACTIONS

Reactions which always proceed to completion in one direction only are called irreversible reactions.
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11        
neet chemistry notes for chemical equilibrium class 11        

CHEMICAL EQUILIBRIUM

When a reversible reaction is carried out in a closed vessel a stage reached when the speed of the forward reaction equals the speed of the backward reaction and chemical equilibrium is said to be established.

CHARACTERISTICS OF CHEMICAL EQUILIBRIUM

  1. Equilibrium can be attained from either side.
  2. Equilibrium is dynamic in nature i.e. at equilibrium, reaction does not stop.
  3. At equilibrium there is no change in the concentration of various species.
  4. The equilibrium state remains unaffected by the presence of catalyst. Catalyst helps to attain the equilibrium state rapidly.
  5. It can be achieved in a closed container.
  6. The observable properties of the process become constant and remain unchanged.

EQUILIBRIUM STATE AND FREE ENERGY CHANGE

At equilibrium neet chemistry notes for chemical equilibrium class 11G is equal to zero and we have
neet chemistry notes for chemical equilibrium class 11G = neet chemistry notes for chemical equilibrium class 11H – Tneet chemistry notes for chemical equilibrium class 11S
neet chemistry notes for chemical equilibrium class 11H = Tneet chemistry notes for chemical equilibrium class 11S

LAW OF MASS ACTION

It was put forward by Guldberg and Waage. The law states that the rate at which a substance reacts is directly proportional to its active mass and the rate of a chemical reaction is directly proportional to the product of the active masses of the reacting substances. For a general reaction
aA + bB neet chemistry notes for chemical equilibrium class 11   cC + dD
Rate of forward reaction neet chemistry notes for chemical equilibrium class 11
Rate of backward reaction neet chemistry notes for chemical equilibrium class 11
where Kf and Kb are velocity constants for forward and backward reactions respectively. At equilibrium point,
Rate of forward reaction = Rate of backward reaction
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11
Kc is called the equilibrium constant.

FACTORS INFLUENCING EQUILIBRIUM CONSTANT

EQUILIBRIUM CONSTANT IS NOT INFLUENCED BY

  1. Concentration of reactants and products.
  2. Presence of a catalyst.
  3. Pressure.
  4. Presence of inert materials.
  5. The direction from which the equilibrium state is reached.

EQUILIBRIUM CONSTANT IS INFLUENCED BY

  1. Temperature : The variation of equilibrium constant is given by Van't Hoff  equation.
neet chemistry notes for chemical equilibrium class 11
where neet chemistry notes for chemical equilibrium class 11,   (Kp)1 and (Kp)2 = Equilibrium Constant at temperature T1 & T2
R = Universal Gas Constant
For exothermic reaction : Kp decreases with increase of temperature since Kf decreases.
For endothermic reaction : Kp increases with increase of temperature since Kf increases.
  1. The mode of representing the reaction :
The reaction A + B neet chemistry notes for chemical equilibrium class 11 C + D may be written as
   C + Dneet chemistry notes for chemical equilibrium class 11  A + B
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11             
 neet chemistry notes for chemical equilibrium class 11
  1. Stoichiometric representation of equation :
N2 + 3H2  neet chemistry notes for chemical equilibrium class 11 2NH3
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11 neet chemistry notes for chemical equilibrium class 11  NH3
neet chemistry notes for chemical equilibrium class 11
          neet chemistry notes for chemical equilibrium class 11

USE OF PARTIAL PRESSURE INSTEAD OF CONCENTRATIONS

For gaseous reacting substances partial pressures are conveniently used since at any fixed temperature partial pressure is directly proportional to concentration. For a general reaction
aA + bB neet chemistry notes for chemical equilibrium class 11   cC + dD
neet chemistry notes for chemical equilibrium class 11

RELATION BETWEEN KC AND KP

neet chemistry notes for chemical equilibrium class 11
where
neet chemistry notes for chemical equilibrium class 11n = [moles of products – moles of reactants] gaseous only.

RELATION BETWEEN KC AND KP FOR DIFFERENT TYPES OF REACTIONS

  1. When neet chemistry notes for chemical equilibrium class 11n = 0, Kp = Kc e.g. for reaction A neet chemistry notes for chemical equilibrium class 11 B.
neet chemistry notes for chemical equilibrium class 11
  1. When neet chemistry notes for chemical equilibrium class 11n = +ve, Kp > Kc e.g. for reaction Aneet chemistry notes for chemical equilibrium class 11  2B.  
neet chemistry notes for chemical equilibrium class 11
  1. When neet chemistry notes for chemical equilibrium class 11n = –ve, Kp < Kc e.g. for reaction 2Aneet chemistry notes for chemical equilibrium class 11  B.  
neet chemistry notes for chemical equilibrium class 11

UNITS OF Kp AND Kc

  • Unit of Kp = (atm) neet chemistry notes for chemical equilibrium class 11n
  • Unit of Kc = (mol lit–1) neet chemistry notes for chemical equilibrium class 11n

CHARACTERISTICS OF EQUILIBRIUM CONSTANT

  1. It has definite value for every chemical reaction at a particular temperature
  2. The more is the value of Kc or Kp, the more is the completion of reaction or the more is the concentration of products.
  3. When the reaction can be expressed as sum of two other reactions, the Kc of overall reaction is equal to the product of equilibrium constants of individual reactions.

HOMOGENEOUS EQUILIBRIUM

In homogeneous equilibrium the reactants and products are present in the same phase (gaseous or liquid).
2SO2 (g) + O2 (g) neet chemistry notes for chemical equilibrium class 11  2SO3 (g)

HETEROGENEOUS EQUILIBRIUM

In heterogeneous equilibrium the reactants and products are present in two or more phases.
3Fe(s) + 4H2O(g) neet chemistry notes for chemical equilibrium class 11  Fe3O4 (s) + 4H2 (g)

CHEMICAL EQUILIBRIUM APPLIED TO HOMOGENEOUS SYSTEM

GASEOUS SYSTEM

They are of two types
  1. Gaseous reactions in which the number of moles of products remain the same as that of reactants
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11
Hydrogen - iodine equilibrium : Suppose, a moles of H2 and b moles of I2 are present in a container of V litres. At equilibrium x moles of each have combined to form HI.
         neet chemistry notes for chemical equilibrium class 11  
Initial molar conc.      neet chemistry notes for chemical equilibrium class 11      0
Eqb. molar conc.       neet chemistry notes for chemical equilibrium class 11  
Applying the law of chemical equilibrium
neet chemistry notes for chemical equilibrium class 11 ..........(i)
The equilibrium constant written as Kc indicates that active masses are expressed in terms of molar concentrations.
The eq. (i) does not contain the volume term. Thus equilibrium is independent of volume and therefore of pressure.

  1. Gaseous reactions in which the number of moles of products and reactants are different.
   neet chemistry notes for chemical equilibrium class 11     
neet chemistry notes for chemical equilibrium class 11
Dissociation of PCl5 : Suppose  'a' moles of PCl5 are present in a container of V litres. At equilibrium x moles have dissociated.
neet chemistry notes for chemical equilibrium class 11               
Initial molar Conc.   neet chemistry notes for chemical equilibrium class 11     0         0
Eqb. molar Conc. neet chemistry notes for chemical equilibrium class 11     neet chemistry notes for chemical equilibrium class 11       neet chemistry notes for chemical equilibrium class 11       
Applying the law of chemical equilibrium
neet chemistry notes for chemical equilibrium class 11 .......(i)
The eq.(i) contains the V term in denominator . If volume increases, the dissociation of PCl5 must also increase to keep Kc constant. The decrease of pressure will cause increase in volume and so the dissociation.
If the value of x is small then  neet chemistry notes for chemical equilibrium class 11 ; neet chemistry notes for chemical equilibrium class 11

LIQUID SYSTEM

Examples are :
  1. Esterification of acetic acid
neet chemistry notes for chemical equilibrium class 11
At equilibrium 2/3rd of acetic acid is converted into ester. Hence alcohol consumed will also be 2/3rd.
  1. Reaction between amylene and tricholoroacetic acid
neet chemistry notes for chemical equilibrium class 11

CHEMICAL EQUILIBRIUM APPLIED TO HETEROGENEOUS SYSTEM

  1. Dissociation of calcium carbonate
neet chemistry notes for chemical equilibrium class 11
Applying the law of chemical equilibrium
neet chemistry notes for chemical equilibrium class 11
The active mass of a solid reactant and product is assumed to have a constant value and is taken as unity. The equilibrium  constant is determined by gaseous substances only. Therefore, neet chemistry notes for chemical equilibrium class 11
  1. Reaction of steam on heated iron
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11
Partial pressures of solid is taken unity.
  1. Water gas reaction
neet chemistry notes for chemical equilibrium class 11
neet chemistry notes for chemical equilibrium class 11
Since partial pressure of carbon (solid) is taken as unity, the equilibrium constant is given by
neet chemistry notes for chemical equilibrium class 11

VAN'T HOFF ISOCHORE

A relationship between the equilibrium constant Kp, at  any temperature T and constant pressure P, and heat of reaction neet chemistry notes for chemical equilibrium class 11H°.
neet chemistry notes for chemical equilibrium class 11
The enthalpy change DH does not vary appreciably with change in partial pressures of reactants and products. Therefore DHº can be taken as DH whatever may be the partial pressures of reactants and products
neet chemistry notes for chemical equilibrium class 11
The integrated form of the equation is
neet chemistry notes for chemical equilibrium class 11
Three important conditions may arise
  1. when neet chemistry notes for chemical equilibrium class 11H = 0 no heat is evolved or absorbed
neet chemistry notes for chemical equilibrium class 11
Equilibrium constant does not change when no change in temperature.
  1. when neet chemistry notes for chemical equilibrium class 11H = +ve i.e. heat is absorbed
neet chemistry notes for chemical equilibrium class 11
Equilibrium constant increases with increase of temperature.
  1. when neet chemistry notes for chemical equilibrium class 11H = –ve i.e. heat is evolved
neet chemistry notes for chemical equilibrium class 11   ;   Equilibrium constant
decreases with increase of temperature
  1. when neet chemistry notes for chemical equilibrium class 11n = 0 i.e. there is no change in volume during a reaction KP = Kc. The variation of equilibrium constant with temperature is given by
neet chemistry notes for chemical equilibrium class 11, neet chemistry notes for chemical equilibrium class 11E heat of reaction at constant volume.

VAN'T HOFF REACTION ISOTHERM

It gives the free energy change of a reaction at any given temperature, pressure and composition of the reacting system.
neet chemistry notes for chemical equilibrium class 11G = neet chemistry notes for chemical equilibrium class 11G° + RT ln J
At equilibrium neet chemistry notes for chemical equilibrium class 11G = 0 then neet chemistry notes for chemical equilibrium class 11G° = –RT ln Jeq
J stands for reaction quotient of partial pressure of products and reactants.
viz. neet chemistry notes for chemical equilibrium class 11
Jeq means the partial pressure of the products and the reactants at the equilibrium. Hence Jeq can be replaced by Kp.
neet chemistry notes for chemical equilibrium class 11G° = –RT ln neet chemistry notes for chemical equilibrium class 11

HENRY'S LAW

The mass of a gas dissolved per unit volume of solvent is proportional to the pressure of the gas in equilibrium with the solution at constant temperature.
  • The volume of the gas dissolved remains the same inspite of increase in pressure.
  • The dissolution of a gas in a liquid is spontaneous process (neet chemistry notes for chemical equilibrium class 11G = 0), accompanied by decrease in entropy (neet chemistry notes for chemical equilibrium class 11S = –ve). Since neet chemistry notes for chemical equilibrium class 11G = neet chemistry notes for chemical equilibrium class 11H – Tneet chemistry notes for chemical equilibrium class 11S, neet chemistry notes for chemical equilibrium class 11G can only be negative if neet chemistry notes for chemical equilibrium class 11H is –ve. Therefore dissolution of a gas in a liquid is always exothermic in nature.

FACTORS ALTERING THE STATE OF EQUILIBRIUM - LE CHATELIER'S PRINCIPLE

There are three main factors which alter the state of equilibrium. They are (I) Concentration, (II) Temperature, and (III) Pressure.
Le Chatelier's principle states that if a system at equilibrium is subjected to a change of concentration, pressure or temperature, the equilibrium shifts in the direction that tends to undo the effect of the change.
  1. Effect of change of concentration :
If at equilibrium the concentration of one of the reactants is increased, the equilibrium will shift in the forward direction and vice versa. Consider the following equilibrium
 Fe3+ (aq)      + SCN (aq)    neet chemistry notes for chemical equilibrium class 11     [Fe(SCN)]2+ (aq)
Pale yellow           Colourless       Dark brown
If ferric salt is added the colour of the solution darkens immediately i.e. Fe3+ ions are consumed and more [Fe(SCN)]2+ are formed. If some sulphocyanide salt is added the colour also darkens. If Potassium ferrisulphocyanide capable of giving complex ion [Fe(SCN)]2+ is added the colour lightens to pale yellow.
  1. Effect of change in pressure :
    1. No effect of pressure on equilibria having same moles of reactants and products e.g. N2 + O2 neet chemistry notes for chemical equilibrium class 11 2NO
      H2 + I2  neet chemistry notes for chemical equilibrium class 112HI
    2. When there is change in the number of moles the equilibrium will shift in the direction having smaller number of moles when the pressure is increased and vice versa e.g.
N2 + 3H2 neet chemistry notes for chemical equilibrium class 11 2NH3
More pressure more ammonia
PCl5 neet chemistry notes for chemical equilibrium class 11 PCl3 + Cl2
The more the pressure, the lesser the dissociation of PCl5.
  1. Effect of temperature :
    1. When process is exothermic - Low temperature favours the formation of products.
    2. When process is endothermic - High temperature favours the formation of products
e.g. N2 + 3H2 neet chemistry notes for chemical equilibrium class 11  2NH3 + 24.0 kcal.
Since the production of NH3 is exothermic low temperature favours its formation.
  1. Effect of addition of inert gas :
    1. Addition of Inert gas at constant volume : The total pressure of the system is increased, but the partial pressure of each reactant and product remains the same. Hence no effect on the state of equilibrium.
    2. Addition of Inert gas at constant pressure : The total volume is increased, the number of moles per unit volume of each reactant and product is decreased. Hence equilibrium will shift to the side where number of moles are increased e.g.
PCl5 (g) neet chemistry notes for chemical equilibrium class 11    PCl3 (g) + Cl2 (g)
Introduction of inert gas at constant pressure will shift the equilibrium to right hand side.
  1. Effect of catalyst : The presence of catalyst does not change the position of equilibrium. It simply fastens the attainment of equilibrium.

LE CHATELIER'S PRINCIPLE APPLICABLE TO PHYSICAL EQUILIBRIUM

  1. Effect of pressure on solubility : The increased pressure, will increase the solubility of a gas and vice versa.
  2. Effect of temperature on solubility : The substances which dissolve with the absorption of heat, their solubility will increase with increase of temperature and vice versa e.g. dissolution of NH4Cl, KCl, KNO3 is endothermic which increases with increase of temperature. The dissolution of calcium acetate and Calcium hydroxide is exothermic, their solubility is lowered at higher temperature.
  3. Effect of pressure on the melting point of ice :
Iceneet chemistry notes for chemical equilibrium class 11  liquid water
The ice occupy the more volume than liquid water, so increased pressure will result in melting of ice according to Le Chatelier's principle.

FAVOURABLE CONDITIONS FOR SOME IMPORTANT REACTIONS

Synthesis of ammonia (Haber's process)
N2 (g) + 3H2 (g)  neet chemistry notes for chemical equilibrium class 112NH3 (g) + 22.4 kcal
  • Low temperature (500°C)
  • High pressure (200 – 1000 atm.)
  • Excess of N2 and H2
Synthesis of NO (nitric acid birkland eyde process)
N2 (g) + O2 (g)  neet chemistry notes for chemical equilibrium class 112NO(g)– 43.2 kcal
  • High temperature
  • Excess of N2 and O2
  • No effect of pressure
Formation of SO3 (sulphuric acid contact process)
2SO2 (g) + O2 (g) neet chemistry notes for chemical equilibrium class 11  2SO3 + 42.0 kcal
  • Low temperature
  • High pressure
  • Excess of SO2 and O2
Formation of nitrogen dioxide
2NO + O2 neet chemistry notes for chemical equilibrium class 11 2NO2 + 27.8 kcal
  • Low temperature
  • High pressure
  • Excess of NO and O2
Dissociation of nitrogen tetraoxide
N2O4  neet chemistry notes for chemical equilibrium class 112NO2 – 14 kcal
  • High temperature
  • Low pressure
  • Excess of N2O4
Oxidation of CO by steam (Bosch process)
CO + H2O  neet chemistry notes for chemical equilibrium class 11CO2 + H2 + x kcal
  • Low temperature
  • Excess of steam and CO
  • No effect of pressure
Dissociation of PCl5
PCl5 neet chemistry notes for chemical equilibrium class 11 PCl3 + Cl2 – 15 kcal
  • High temperature
  • Low pressure
  • Excess of PCl5

TRIPLE POINT

The temperature and pressure at which the three states of a substance can exist in equilibrium is known as triple point e.g.
Ice (s) neet chemistry notes for chemical equilibrium class 11 water (l) neet chemistry notes for chemical equilibrium class 11  vapour (g) can exist at 0.0098°C and 4.58 mm.

DEGREE OF DISSOCIATION FROM DENSITY MEASUREMENT

The density of one mole of gas is given by
D = neet chemistry notes for chemical equilibrium class 11 where M = Mol. wt of gas; P = Total pressure.
The volume of the gas increases on dissociation in proportion to increase in the total number of moles, but total weight remains constant. Hence density decreases in the same proportion. Consider dissociation of PCl5. Let x be degree of dissociation
PCl5     neet chemistry notes for chemical equilibrium class 11   PCl3   + Cl2
1 – x x             x Total moles (1 + x)

neet chemistry notes for chemical equilibrium class 11
where D is the theoretical vapour density and
D= neet chemistry notes for chemical equilibrium class 11Molecular mass
d is observed vapour density at temperature tºC.
If nx moles of products are formed, then total number of moles after dissociation
1 – x + nx = 1 + x (n – 1)
neet chemistry notes for chemical equilibrium class 11

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