Showing posts with label chemical equilibrium. Show all posts
Showing posts with label chemical equilibrium. Show all posts

Monday, October 2, 2017

Chapter 11.3 - Factors which affect Equilibrium of a Chemical Reaction

In the previous section, we saw the equilibrium state of a chemical reaction. In this section we will learn about the factors which affect the Equilibrium.

Influence of concentration on Chemical equilibrium

■ Consider a system in equilibrium. If some quantities of a reactant is added to the system, what will happen? 
• Ans: The concentration of that reactant must decrease back to the previous level.  For that, the rate of forward reaction will increase, so as to convert the extra reactant to product.
Consider the example: N2 (g) + 3H2 (g) ⇌ 2NH3 (g)
■ If we add some nitrogen to the system, what will happen?
Ans: The rate of forward reaction will increase so as to convert more nitrogen into ammonia. As a result, production of ammonia will increase.
■ If we add some ammonia to the system, what will happen?
Ans: The rate of backward reaction will increase so as to convert more ammonia back into nitrogen and hydrogen.
■ If we remove ammonia continuously from the system, what will happen?
Ans: The rate of forward reaction will increase so as to produce more ammonia

• Effects of change in concentrations in a system producing ammonia can be written in a tabular form as follows:
Action Change of Concentration Change in rate
More hydrogen is added Increases the concentration of the reactant Rate of forward reaction increases
More ammonia is added Increases the concentration of the product Rate of backward reaction increases
Ammonia is removed Decreases the concentration of the product Rate of forward reaction increases
More nitrogen is added  Increases the concentration of the reactant Rate of forward reaction increases
• The above discussion gives us an idea about the influence of concentrations on chemical equilibrium.


Influence of pressure on Chemical equilibrium


• Influence of pressure is felt in reactions involving gases. It can be analyzed using an example:
• Consider the reaction between nitrogen and hydrogen which gives ammonia as the product. The balanced chemical equation is: 
N2 (g) + 3H2 (g) ⇌ 2NH3 (g)
• One molecule of nitrogen reacts with 3 molecules of hydrogen to produce two molecules of ammonia. 
• So, if we take NA (Avogadro number) of molecules of nitrogen, we must take 3NA molecules of hydrogen. The result will be 2NA molecules of ammonia.
• It is clear that, there are greater number of molecules on the reactant side than in the product side.
• In gaseous systems, larger number of molecules will produce greater pressure.

Consider a state of equilibrium in the manufacture of ammonia.
■ If at this equilibrium we increase the pressure, what will happen?
Ans: The system will try to reduce that pressure. For that, the number of molecules must decrease.
• For a decrease in the number of molecules, more quantities of the product should be formed. Because, in this reaction, number of molecules on the product side is lower.
• So rate of the forward reaction will increase
■ If at this equilibrium we decrease the pressure, what will happen?
Ans: The system will try to increase the pressure. For that, the number of molecules must increase.
• For an increase in the number of molecules, more quantities of the reactants should be formed. Because, in this reaction, number of molecules on the reactants side is higher.
• So rate of the backward reaction will increase
■ In the manufacture of ammonia, why is a pressure of 200 - 900 atm used?
Ans: In the manufacture of ammonia, high pressure is used so that, the rate of the forward reaction will increase and more ammonia will be formed.

Is an increase in pressure always helpful? Let us see another example:
Consider the balanced equation:
H2 (g) + I2 (g) ⇌ 2HI (g)
• One molecule of hydrogen reacts with 1 molecule of iodine to produce two molecules of hydrogen iodide. 
• So, if we take NA (Avogadro number) of molecules of hydrogen, we must take NA molecules of iodine. The result will be 2NA molecules of hydrogen iodide.
• It is clear that, there are equal number of molecules on the reactant side and in the product side.
■ If there is no change in the number of reactant or product molecules as a result of forward and backward reactions, in gaseous reactions, pressure will not have any effect on the equilibrium state.

Influence of temperature on equilibrium

We have seen endothermic reactions and exothermic reactions in our earlier classes.
• Endothermic reactions are those in which heat is absorbed during the reaction
• Exothermic reactions are those in which heat is liberated during the reaction
Consider the equation of a reversible reaction:
1. In the forward reaction, N2O4 changes to NO2. This forward reaction is endothermic. That is., if this forward reaction is to take place, we have to supply heat
2. In the backward reaction, NO2 changes to N2O4. This backward reaction is exothermic. That is., when this backward reaction takes place, we will get heat.
3. Consider a system in which the above reaction is at equilibrium.
• If this system at equilibrium is placed in ice, the temperature will be lowered.
• The system will then try to increase the temperature by producing more heat.
• To produce heat, exothermic reaction must take place.
• So rate of the backward reaction increases. Thus So more NO2 will be converted to N2O4.
4. Consider a system in which the above reaction is at equilibrium.
• If this system at equilibrium is placed in hot water, the temperature will be increased.
• The system will then try to decrease the temperature.
• To reduce temperature, heat must be absorbed. For heat to get absorbed, endothermic reaction must take place.
• So rate of the forward reaction increases. Thus So more N2O4 will be converted to NO2.
■ Note that nitric acid (HNO3) is a very corrosive acid and Nitrogen dioxide (NO2) is a poisonous gas. All safety precautions should be taken while doing experiments.

Let us now see the effect of temperature in the manufacture of ammonia.
1. We know that ammonia is manufactured by Haber process. It is a reversible reaction. It can be represented by the following balanced equation:
N2 (g) + 3H2 (g) ⇌ 2NH3 (g)
2. Here the forward reaction is exothermic in nature. That is., the forward reaction releases heat. So we can rewrite the equation as:
N2 (g) + 3H2 (g) ⇌ 2NH3 (g) + Heat
3. If we increase the temperature, the system will try to reduce it.
• For that, less heat must be produced. So the rate of backward reaction will increase. We will be getting more nitrogen and hydrogen instead of ammonia. So it is not advisable to increase the temperature.
4. If we cannot increase the temperature, can we decrease it?
• Reducing the temperature to low values has adverse effects. When the temperature is low, the rates of both forward and backward reactions become very low. (This is because, the molecules must have a minimum amount of energy for the collisions to take place)
• As a result, the system will take more time to reach equilibrium. Hence in the manufacture of ammonia, 450o c is taken as optimum temperature.

Influence of catalyst on equilibrium

• We know that Positive catalysts are those substances which increase the rate of a reaction.
• In reversible reactions, there is forward as well as backward reactions taking place.
• A positive catalyst will increase the rate of both forward and backward reactions. So equilibrium is reached in a lesser time.
• Once equilibrium is reached, the rates of forward or backward reactions can be controlled by altering the other factors like temperature, pressure etc.,
• So, in many reversible reactions, positive catalyst is used at the beginning of the reaction.

The French scientist Henry-Louis Le Chatelier put forward a principle regarding the effects of various factors on chemical equilibrium.
Le Chatelier's Principle:
When the concentration, pressure or temperature of a system at equilibrium is changed, the system will readjust itself so as to nullify the effect of that change. As a result of the readjustment, the system will attain a new state of equilibrium


Now we will see a solved example:
Solved example 11.1
The manufacture of sulphuric acid by contact process has different stages. The chemical equation of one such stage is:
2SO2 (g) + O2 (g) ⇌ 2SO3 (g) + heat
■ Identify how the factors given below influence this reaction
• Increase in the amount of oxygen
• Increase in pressure
• Maintains the temperature at optimum level
• Catalyst (V2O5) is added
• SO3 is removed
Solution:
1. Increase in the amount of oxygen:
• Oxygen is one of the reactants.
• The system will try to nullify the effect of increase in concentration of a reactant by increasing the rate of the forward reaction.
• So more products will be formed
2. Increase in pressure:
• From the balanced equation, it is clear that, there are greater number of molecules on the reactant side than in the product side.
• In gaseous systems, larger number of molecules will produce greater pressure.
• The system will increase the rate of the forward reaction. So the number of molecules will become less and pressure will become low.
• Thus the effect of increase in pressure will be nullified
3. Maintains temperature at optimum level
• From the given balanced equation it is clear that, the forward reaction is exothermic
• If we increase the temperature, the system will try to nullify it by increasing the rate of the backward reaction. In that case we will get lesser quantities of the product.
• On the other hand, a decrease in temperature is also not advisable. Because, the molecules need a minimum amount of energy for the collisions to take place. 
• So, if we maintain an optimum temperature, we will get more products
4. Catalyst V2O5 is added
• The catalyst increases the rate of both forward and backward reactions. So it helps to achieve equilibrium in a lesser duration of time.
5. SO3 is removed
• When SO3 is removed, concentration of product decreases. To nullify the effect of this 'decrease in concentration', more SO3 has to be produced. For that, the rate of forward reaction increases

Solved example 11.2
(a) In which of the following reactions does the change in pressure not influence equilibrium? What is the reason?
(i) H2 (g) + I2 (g) ⇌ 2HI (g)
(ii) N2 (g) + 3H2 (g) ⇌ 2NH3 (g)
(b) What is the use of applying high pressure duriing the formation of ammonia from nitrogen and hydrogen?
Solution:
(a) In reaction (i), increase or decrease in pressure will not influence equilibrium. Because, the number of molecules in the reactants side and products side are equal
(b) If we increase the pressure, the system will try to reduce that pressure. For that, the number of molecules must decrease.
• For a decrease in the number of molecules, more quantities of the product should be formed. Because, in this reaction, number of molecules on the product side is lower.
• So rate of the forward reaction will increase and more ammonia will be formed.

We have completed the present discussion on Chemical equilibrium. In the next chapter, we will see Reactivity Series and Electrochemistry. 

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Friday, September 29, 2017

Chapter 11.2 - Equilibrium in Reversible Reactions

In the previous section, we saw the factors which influence the rate of a chemical reaction. We also saw some basic details about reversible and irreversible reactions. In this section we will learn about the Equilibrium in Reversible Reactions.

Let us do an experiment. 
1. Take the solutions of potassium nitrate (KNO3), potassium thiocyanate (KCNS) and ferric nitrate (Fe(NO3)3).
2. We are going to do some chemical reactions with these solutions. So we will want to note down the initial colors. For that, observe the color of each solution and note them down:
• KCNS solution - initial color: colourless
• Fe(NO3)3 solution - initial color: Light yellow
• KNO3 solution - initial color: colourless
3. Take a little of dilute ferric nitrate solution in a test tube and add a few drops of potassium thiocyanate to it. 
• The solution becomes red in color. 
• The chemical equation of the reaction is:
Fe(NO3)3 (aq) + 3KCNS (aq) ⟶ Fe(CNS)3 (aq) + 3KNO3 (aq) 
• The formation of ferric thiocyanate (Fe(CNS)3) by the combination of Fe(NO3)3 and KCNS is the cause for the red color.
4. Keep the solution without disturbing. Examine after some time. 
• We can see that the red color neither increases or decreases. 
5. Dilute the solution and keep it without disturbing. Examine after some time. 
• This time also, we can see that, the red color neither increases or decreases. 
6. Transfer the dilute solution to three test tubes in equal amounts. We are going to do some tests to the tree test tubes separately 
7. Test tube 1: Add Fe(NO3)3 to test tube 1. 
• We can see that the red color becomes deep. 
What may be the reason? 
Ans: We have seen earlier that, formation of Fe(CNS)3 is responsible for the red color. Now, we have added more Fe(NO3)3 to the solution. 
• This newly added Fe(NO3)3 combines with KCNS to produce more Fe(CNS)3. So naturally, the red color deepens. 
8. Test tube 2: Add some KCNS to the second test tube.
• We can see that the red color becomes deep.
What may be the reason?
Ans: We have seen earlier that, formation of Fe(CNS)3 is responsible for the red color. Now, we have added more KCNS to the solution.
• This newly added KCNS combines with Fe(NO3)3 to produce more Fe(CNS)3. So naturally, the red color deepens.
9. Test tube 3: Add a drop of concentrated KNO3 to the third test tube.
• We can see that the intensity of the red color decreases significantly.
What may be the reason?
Ans: The newly added KNO3 reacts with the Fe(CNS)3 to give back the original reactants.
• So some of the Fe(CNS)3 is used up to give back the original reactants.
• As a consequence, only a less Fe(CNS)3 is available now.
• This causes the decrease in the intensity of red color.

Consider the third test tube in the above experiment:
• We added KNO3. It is one of the products. It reacted with the other product Fe(CNS)3 to give back the reactants. 
■ So this is a reversible reaction.

• Once we conclude that it is a reversible reaction, we can give a detailed explanation as given below:
1. We now know that the reaction that we saw is reversible. So we can represent it using '⇌' symbol. This is shown below:
Fe(NO3)3 (aq) + 3KCNS (aq) ⇌ Fe(CNS)3 (aq) + 3KNO3 (aq) 
2. Let us start a stop watch at the instant when KCNS is added to Fe(NO3)3.
• As the time passes by, more and more quantities of the products [Fe(CNS)3 and KNO3] will be produced
• In the first few seconds, the concentrations of the products will be very low. At the same time, the concentrations of the reactants will be high.
• As time passes by, the newly formed products will begin to react together to give back the original reactants. This is the backward reaction
    ♦ But as the concentrations of the products is low at the early stages, the rate of this back ward reaction will also be low in the early stages.
    ♦ As time passes by, the concentrations of the products increases, and the rate of backward reaction also increases.
• This 'increasing rate' is represented by the rising red curve in fig.11.7 below. We can see that, the red curve rises with the increase in time. If we mark a point 'C' on that curve, we can read off two values: 
    ♦ From the X axis, we can read off a 'particular time' corresponding to point 'C'
    ♦ From the Y axis, we can read off the 'rate of the backward reaction' at that 'particular time'
3. Now consider the forward reaction. As time passes by, the concentrations of the reactants decreases. This is because, more and more of the reactants are being converted into products. 
• So the rate of the forward reaction decreases. This 'decreasing rate' is represented by the declining green curve in the fig.11.7.
• We can see that, the green curve declines with the increase in time. If we mark a point 'B' on that curve, we can read off two values: 
    ♦ From the X axis, we can read off a 'particular time' corresponding to point 'B'
    ♦ From the Y axis, we can read off the 'rate of the forward reaction' at that 'particular time' 
4. So we have a rising curve and a declining curve. At some point in time, they will obviously meet. This meeting point is marked as 'A' in the fig.11.7
5. It is interesting to note that: 
• after the 'time corresponding to A', the rate of forward reaction does not decrease
• after the 'time corresponding to A', the rate of backward reaction does not increase
6. What may be the reason? Let us analyse:
• Let R1 and R2 be the reactants. Also, let P1 and P2 be the products
    ♦ As time passes by, the concentrations of R1 and R2 decreases
    ♦ As time passes by, the concentrations of P1 and P2 increases
• At the meeting point A, let the concentrations be [R1]A, [R2]A, [P1]A and [P2]A.
• At the meting point A, rate of forward reaction = rate of backward reaction
    ♦ Rate of forward reaction is the 'quantity of R1 and R2 consumed in a particular interval of time'
    ♦ Rate of backward reaction is the 'quantity of P1 and P2 consumed in that particular interval of time'
• At the meeting point, the rates are equal. So:
Quantity of R1 and R2 consumed = Quantity of P1 and P2 consumed
• So, after the point A, there is no change in the quantities of reactants and products. That is:
After point A, [R1]A, [R2]A, [P1]A and [P2]A will not change
    ♦ If there is no change in the quantities of reactants, the rate of forward reaction will not change
    ♦ If there is no change in the quantities of products, the rate of backward reaction will not change
• That means:
    ♦ After point A, the rate of forward reaction will not decline
    ♦ After point A, the rate of backward reaction will not rise up
• So, after point A, the rate will be represented by the horizontal yellow line. We know that, all 'y values' on a horizontal graph will be the same.
At point A, the reaction is said to have attained Chemical Equilibrium 

Chemical Equilibrium is a stage at which the rate of forward reaction becomes equal to the rate of backward reaction in a chemical reaction

• Even after the reaction has reached the equilibrium stage, both the forward and backward reactions will continue. But at the same rate.
    ♦ This continuing reactions are not visible to us because there is no color change after the equilibrium stage.
    ♦ There is no color change because, after equilibrium stage, the concentrations of reactants and products does not change.
• At equilibrium, both the reactants and products are present in the system
• As both the reactions are continuing even at equilibrium, it is called a dynamic equilibrium

Now we will consider the three test tubes
1. The resulting solution was transferred to three test tubes at the time when the reaction was at the equilibrium state. This is clear from the fact that, we had kept it with out disturbing for some time and no color change was observed. (see (5) at the beginning of this section)
• Further more, the transfer was made in equal amounts. (see (6) at the beginning of this section). So the concentrations in the three test tubes are the same.
2. To the test tube 1, more Fe(NO3)3 was added. This is shown in fig.11.8(b) below. 
• This extra Fe(NO3)3 reacts with KCNS which is already present, to form more Fe(CNS)3. So the red colour increases. 
• Thus there is an increase in rate of the forward reaction. 
• But soon the rates of both forward and backward reaction will become equal, and the system will attain a new equilibrium state
3. To the test tube 2, more KCNS was added. This is shown in fig.11.8(c) above. 
• This extra KCNS reacts with Fe(NO3)3 which is already present, to form more Fe(CNS)3. So the red colour increases
• Thus there is an increase in rate of the forward reaction. 
• But soon the rates of both forward and backward reaction will become equal, and the system will attain a new equilibrium state  
4. To the test tube 3, more KNO3 was added. This is shown in fig.11.8(d) above. 
• This extra KCNS reacts with Fe(CNS)3 which is already present, to form more reactants. That is., some of the Fe(CNS)3 is used up. So the red colour decreases
• Thus there is an increase in rate of the backward reaction. 
• But soon the rates of both forward and backward reaction will become equal, and the system will attain a new equilibrium state.

Based on the above experiment, we can write the characteristics of Chemical equilibrium:
• At equilibrium, both reactants and products coexist. That means, at equilibrium, both reactants and products will be present in the system. 
• At equilibrium, the rate of forward reaction is equal to the rate of backward reaction. 
• Since reactants and products are present, both forward and backward reactions are occurring even at equilibrium. 
• Since the reactions are continuing, it is called a dynamic equilibrium. 
• Once equilibrium is attained, there will be no change in the concentration of the reactants or products. 
• Chemical equilibrium is attained only in closed systems. That is., no substances should be added to or taken away from the system. Pressure and temperature of the system should not change.

In the next section, we will see the factors which affect equilibrium of chemical reactions. 

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