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Le-Chaterlier principle and It’s application Questions in English

Class 11 Chemistry · 6-1.Equilibrium (Chemical Equilibrium) · Le-Chaterlier principle and It’s application

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1
MediumMCQ
The reaction $CaCO_3 \rightleftharpoons CaO + CO_{2(g)}$ goes to completion in a lime kiln because:
A
Of the high temperature
B
$CaO$ is more stable than $CaCO_3$
C
$CaO$ is not dissociated
D
$CO_2$ escapes continuously

Solution

(D) According to Le Chatelier's principle,if a product is removed from the reaction mixture,the equilibrium shifts in the forward direction to compensate for the loss.
In a lime kiln,$CO_2$ gas is allowed to escape continuously.
This constant removal of $CO_2$ drives the reaction to completion in the forward direction.
2
EasyMCQ
For the reaction $PCl_{3(g)} + Cl_{2(g)} \rightleftharpoons PCl_{5(g)}$,the position of equilibrium can be shifted to the right by
A
Increasing the temperature
B
Doubling the volume
C
Addition of $Cl_2$ at constant volume
D
Addition of equimolar quantities of $PCl_3$ and $PCl_5$

Solution

(C) The reaction is $PCl_{3(g)} + Cl_{2(g)} \rightleftharpoons PCl_{5(g)}$.
According to Le Chatelier's principle,increasing the concentration of a reactant shifts the equilibrium in the forward direction to consume the added reactant.
Adding $Cl_2$ (a reactant) at constant volume increases its concentration,thereby shifting the equilibrium to the right.
3
MediumMCQ
Change in volume of the system does not alter the number of moles in which of the following equilibrium?
A
$N_{2(g)} + O_{2(g)} \rightleftharpoons 2NO_{(g)}$
B
$PCl_{5(g)} \rightleftharpoons PCl_{3(g)} + Cl_{2(g)}$
C
$N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)}$
D
$SO_2Cl_{2(g)} \rightleftharpoons SO_{2(g)} + Cl_{2(g)}$

Solution

(A) According to Le Chatelier's principle,a change in the volume of the system affects the equilibrium position only if there is a change in the total number of moles of gaseous species $(\Delta n_g \neq 0)$.
For the reaction $N_{2(g)} O_{2(g)} \rightleftharpoons 2NO_{(g)}$,the change in the number of gaseous moles is $\Delta n_g = 2 - (1 1) = 0$.
Since $\Delta n_g = 0$,a change in volume will not shift the equilibrium,and the number of moles remains unchanged.
4
MediumMCQ
What is the effect of halving the pressure by doubling the volume on the following system at $500\,^{\circ}C$?
$H_{2(g)} + I_{2(g)} \rightleftharpoons 2HI_{(g)}$
A
Shift to product side
B
Shift to reactant side
C
Liquefaction of $HI$
D
No effect

Solution

(D) For the given reaction: $H_{2(g)} + I_{2(g)} \rightleftharpoons 2HI_{(g)}$
The change in the number of moles of gaseous products and reactants is $\Delta n_g = n_{p} - n_{r} = 2 - (1 + 1) = 0$.
According to Le Chatelier's principle,if $\Delta n_g = 0$,a change in pressure or volume has no effect on the position of the equilibrium.
Since the pressure is halved and volume is doubled,the total number of moles of gas on both sides of the equation is equal,so the equilibrium position remains unchanged.
5
MediumMCQ
When $NaNO_3$ is heated in a closed vessel,$O_2$ is liberated and $NaNO_2$ is left behind. At equilibrium,
A
Addition of $NaNO_3$ favours forward reaction
B
Addition of $NaNO_2$ favours reverse reaction
C
Increasing pressure favours reverse reaction
D
All of the above

Solution

(D) The chemical reaction is: $2NaNO_3(s) \rightleftharpoons 2NaNO_2(s) + O_2(g)$.
According to Le Chatelier's principle:
$1$. Adding more reactant $(NaNO_3)$ shifts the equilibrium in the forward direction to consume the excess reactant.
$2$. Adding more product $(NaNO_2)$ shifts the equilibrium in the reverse direction to consume the excess product.
$3$. Increasing the pressure in a system with gaseous products shifts the equilibrium toward the side with fewer moles of gas. Here,the product side has $1 \text{ mole}$ of $O_2(g)$ and the reactant side has $0 \text{ moles}$ of gas. Thus,increasing pressure shifts the equilibrium to the left (reverse reaction).
Therefore,all the given statements are correct.
6
EasyMCQ
In which of the following reactions,increase in the volume at constant temperature does not affect the number of moles at equilibrium?
A
$2NH_{3(g)} \rightleftharpoons N_{2(g)} + 3H_{2(g)}$
B
$C_{(s)} + \frac{1}{2} O_{2(g)} \rightleftharpoons CO_{(g)}$
C
$H_{2(g)} + I_{2(g)} \rightleftharpoons 2HI_{(g)}$
D
None of these

Solution

(C) For the number of moles at equilibrium to remain unaffected by a change in volume at constant temperature,the reaction must have $\Delta n_g = 0$ (where $\Delta n_g$ is the change in the number of moles of gaseous species).
Calculating $\Delta n_g$ for the given reactions:
$A$) $2NH_{3(g)} \rightleftharpoons N_{2(g)} + 3H_{2(g)}$; $\Delta n_g = (1 + 3) - 2 = 2 \neq 0$.
$B$) $C_{(s)} + \frac{1}{2} O_{2(g)} \rightleftharpoons CO_{(g)}$; $\Delta n_g = 1 - 0.5 = 0.5 \neq 0$.
$C$) $H_{2(g)} + I_{2(g)} \rightleftharpoons 2HI_{(g)}$; $\Delta n_g = 2 - (1 + 1) = 0$.
Since reaction $C$ has $\Delta n_g = 0$,the equilibrium composition remains unaffected by a change in volume. Thus,the correct option is $C$.
7
EasyMCQ
In the manufacture of ammonia by Haber's process,$N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)} + 92.3 \ kJ$,which of the following conditions is unfavourable?
A
Increasing the temperature
B
Increasing the pressure
C
Reducing the temperature
D
Removing ammonia as it is formed

Solution

(A) The given reaction is $N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)} + 92.3 \ kJ$.
Since the reaction is exothermic $(\Delta H < 0)$,according to Le Chatelier's principle,a decrease in temperature favors the forward reaction.
Therefore,increasing the temperature is unfavourable for the production of ammonia.
Increasing the pressure favors the side with fewer moles of gas (product side),and removing ammonia also shifts the equilibrium to the right.
Thus,the correct option is $A$.
8
EasyMCQ
The chemical equilibrium of a reversible reaction is not influenced by
A
Pressure
B
Catalyst
C
Concentration of the reactants
D
Temperature

Solution

(B) The correct answer is $(B)$.
Chemical equilibrium of a reversible reaction is not influenced by a catalyst.
$A$ catalyst only increases the rate of both the forward and backward reactions equally,thereby helping the system reach equilibrium faster without changing the position of the equilibrium.
Pressure,temperature,and the concentration of reactants do affect the position of the equilibrium according to Le Chatelier's Principle.
9
EasyMCQ
For the following reaction,which change will shift the equilibrium towards the product?
$I_{2(g)} \rightleftharpoons 2I_{(g)}; \Delta H_r^o(298 \ K) = +150 \ kJ$
A
Increase in concentration of $I$
B
Decrease in concentration of $I_2$
C
Increase in temperature
D
Increase in total pressure

Solution

(C) The given reaction is $I_{2(g)} \rightleftharpoons 2I_{(g)}$ with $\Delta H_r^o = +150 \ kJ$.
Since $\Delta H_r^o > 0$,the reaction is endothermic.
According to Le Chatelier's principle,for an endothermic reaction,an increase in temperature shifts the equilibrium in the forward direction (towards the product side) to absorb the excess heat.
Therefore,increasing the temperature will shift the reaction towards the product.
10
EasyMCQ
Consider the following reversible reaction at equilibrium,$2H_2O_{(g)} \rightleftharpoons 2H_{2(g)} + O_{2(g)}$; $\Delta H = 241.7 \ kJ$. Which one of the following changes in conditions will lead to maximum decomposition of $H_2O_{(g)}$?
A
Increasing both temperature and pressure
B
Decreasing temperature and increasing pressure
C
Increasing temperature and decreasing pressure
D
Increasing temperature at constant pressure

Solution

(C) The reaction is endothermic $(\Delta H > 0)$,so according to Le Chatelier's principle,increasing the temperature will shift the equilibrium in the forward direction.
The change in the number of moles of gaseous products is $\Delta n_g = (2+1) - 2 = +1$.
Since $\Delta n_g > 0$,decreasing the pressure will shift the equilibrium in the direction of more moles of gas,which is the forward direction.
Therefore,increasing the temperature and decreasing the pressure will lead to the maximum decomposition of $H_2O_{(g)}$.
11
EasyMCQ
In the reaction,$A_{2(g)} + 4B_{2(g)} \rightleftharpoons 2AB_{4(g)}$,$\Delta H < 0$,the formation of $AB_{4}$ is favoured at
A
Low temperature,high pressure
B
High temperature,low pressure
C
Low temperature,low pressure
D
High temperature,high pressure

Solution

(A) According to Le Chatelier's principle,for an exothermic reaction $(\Delta H < 0)$,a decrease in temperature shifts the equilibrium in the forward direction to release heat.
In the given reaction,the number of moles of gaseous reactants is $1 + 4 = 5$,and the number of moles of gaseous products is $2$.
Since the number of moles decreases in the forward direction $(5 \to 2)$,an increase in pressure shifts the equilibrium towards the side with fewer moles,which is the forward direction.
Therefore,the formation of $AB_{4}$ is favoured at low temperature and high pressure.
12
EasyMCQ
The formation of $SO_3$ takes place according to the following reaction: $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$; $\Delta H = -45.2 \ kcal$. The formation of $SO_3$ is favoured by:
A
Increasing the temperature
B
Removal of oxygen
C
Increase in volume
D
Increasing the pressure

Solution

(D) According to Le Chatelier's principle,for the reaction $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$,$\Delta H = -45.2 \ kcal$.
Since the reaction is exothermic $(\Delta H < 0)$,a decrease in temperature favors the forward reaction.
For the change in the number of moles of gas,$\Delta n_g = n_p - n_r = 2 - (2 + 1) = -1$.
Since $\Delta n_g < 0$,an increase in pressure favors the forward reaction (the side with fewer moles of gas).
Therefore,the formation of $SO_3$ is favored by increasing the pressure.
13
EasyMCQ
What is the effect of increasing pressure on the dissociation of $PCl_5$ according to the equation $PCl_{5(g)} \rightleftharpoons PCl_{3(g)} + Cl_{2(g)} - x \ cal$?
A
Dissociation decreases
B
Dissociation increases
C
Dissociation does not change
D
None of these

Solution

(A) The given reaction is $PCl_{5(g)} \rightleftharpoons PCl_{3(g)} + Cl_{2(g)}$.
For this reaction,the change in the number of moles of gaseous products and reactants is $\Delta n = (1 + 1) - 1 = 1$.
According to Le Chatelier's principle,an increase in pressure shifts the equilibrium in the direction where the number of moles of gas decreases.
Since $\Delta n > 0$,the forward reaction involves an increase in the number of moles of gas.
Therefore,increasing the pressure will shift the equilibrium in the backward direction,which decreases the dissociation of $PCl_5$.
14
MediumMCQ
The standard state Gibbs free energy change for the given isomerization reaction $cis-2-pentene \rightleftharpoons trans-2-pentene$ is $-3.67 \ kJ/mol$ at $400 \ K$. If more $trans-2-pentene$ is added to the reaction vessel,then:
A
More $cis-2-pentene$ is formed
B
Equilibrium is shifted in the forward direction
C
Equilibrium remains unaffected
D
Additional $trans-2-pentene$ is formed

Solution

(A) According to Le Chatelier's principle,if the concentration of a product $(trans-2-pentene)$ is increased in a system at equilibrium,the system will shift in the direction that consumes the added substance to counteract the change.
Therefore,the equilibrium will shift in the backward direction to form more $cis-2-pentene$.
15
EasyMCQ
When in any system at equilibrium state,pressure,temperature,and concentration are changed,then the equilibrium shifts in such a direction as to neutralize the effect of the change. This is known as:
A
First law of thermodynamics
B
Le Chatelier's principle
C
Ostwald's rule
D
Hess's law of constant heat summation

Solution

(B) When in any system at equilibrium state,pressure,temperature,and concentration are changed,the equilibrium shifts in a direction that neutralizes the effect of the change. This is known as $Le \ Chatelier's \ principle$.
16
EasyMCQ
$N_2 + O_2 \rightleftharpoons 2NO - Q \, cal$. In the above reaction,which is the essential condition for the higher production of $NO$?
A
High temperature
B
High pressure
C
Low temperature
D
Low pressure

Solution

(A) The given reaction is $N_2 + O_2 \rightleftharpoons 2NO - Q \, cal$,which can be rewritten as $N_2 + O_2 + Q \, cal \rightleftharpoons 2NO$.
Since the reaction absorbs heat $(-Q)$,it is an endothermic reaction.
According to Le Chatelier's principle,for an endothermic reaction,an increase in temperature shifts the equilibrium in the forward direction to absorb the excess heat.
Therefore,a high temperature is the essential condition for the higher production of $NO$.
17
EasyMCQ
$A$ reversible reaction is in equilibrium. If a factor is changed which affects it,then:
A
The speed of forward and backward reaction increases
B
The speed of forward and backward reaction decreases
C
Only the speed of that reaction increases which nullifies the factor causing the change
D
No difference

Solution

(C) According to Le Chatelier's Principle,if a system at equilibrium is subjected to a change in concentration,temperature,or pressure,the system will shift its equilibrium position to counteract the effect of the disturbance. Therefore,the rate of the reaction that opposes the change will increase to restore equilibrium.
18
MediumMCQ
Which of the following reactions proceeds at low pressure?
A
$N_2 + 3H_2 \rightleftharpoons 2NH_3$
B
$H_2 + I_2 \rightleftharpoons 2HI$
C
$PCl_5 \rightleftharpoons PCl_3 + Cl_2$
D
$N_2 + O_2 \rightleftharpoons 2NO$

Solution

(C) According to Le Chatelier's principle,for a reaction at equilibrium,a decrease in pressure favors the direction in which the number of moles of gas increases.
In reaction $(C)$,$PCl_5(g) \rightleftharpoons PCl_3(g) + Cl_2(g)$,the number of moles of gas increases from $1$ to $2$.
Therefore,low pressure favors the forward reaction in this case.
19
EasyMCQ
Le Chatelier's principle is applicable to:
A
Both for physical and chemical equilibrium
B
Only for chemical equilibrium
C
Only for physical equilibrium
D
Neither for chemical nor for physical equilibrium

Solution

(A) Le Chatelier's principle is applicable to all systems,whether chemical or physical,that are in a state of equilibrium.
According to this principle,if a system at equilibrium is subjected to a change in concentration,temperature,or pressure,the equilibrium will shift in a direction that tends to counteract or nullify the effect of the applied change.
20
EasyMCQ
In the following reversible reaction $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g) + Q \ \text{cal}$. The most suitable condition for the higher production of $SO_3$ is:
A
High temperature and high pressure
B
High temperature and low pressure
C
Low temperature and high pressure
D
Low temperature and low pressure

Solution

(C) The given reaction is $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g) + Q \ \text{cal}$.
Since the reaction is exothermic (indicated by $+ Q \ \text{cal}$),according to Le Chatelier's principle,a low temperature will shift the equilibrium in the forward direction to produce more $SO_3$.
Also,the number of moles of gaseous reactants is $3$ ($2$ moles of $SO_2$ and $1$ mole of $O_2$) and the number of moles of gaseous products is $2$ $(SO_3)$.
Since the volume decreases from left to right,a high pressure will shift the equilibrium in the forward direction to produce more $SO_3$.
Therefore,the most suitable conditions are low temperature and high pressure.
21
EasyMCQ
When pressure is applied to the system $Ice \rightleftharpoons Water$,what will happen?
A
More water will form
B
More ice will form
C
There will be no effect on the equilibrium
D
Water will decompose into $H_2$ and $O_2$

Solution

(A) The equilibrium is represented as: $\text{Ice (more volume)} \rightleftharpoons \text{Water (less volume)}$.
According to Le Chatelier's principle,increasing the pressure on a system at equilibrium shifts the equilibrium in the direction that results in a decrease in volume.
Since liquid water has a lower volume than ice at the same temperature,increasing the pressure shifts the equilibrium towards the formation of more water.
22
EasyMCQ
The reaction $A + B \rightleftharpoons C + D + \text{heat}$ has reached equilibrium. The reaction may be made to proceed forward by:
A
Adding more $C$
B
Adding more $D$
C
Decreasing the temperature
D
Increasing the temperature

Solution

(C) The given reaction is $A + B \rightleftharpoons C + D + \text{heat}$.
Since heat is released as a product,the reaction is exothermic.
According to Le Chatelier's principle,for an exothermic reaction,decreasing the temperature shifts the equilibrium in the forward direction to produce more heat.
23
EasyMCQ
Select the correct statement from the following:
A
Equilibrium constant changes with the addition of a catalyst.
B
$A$ catalyst increases the rate of the forward reaction only.
C
The ratio of the mixture at equilibrium is not changed by a catalyst.
D
Catalysts are active only in solution.

Solution

(C) The addition of a catalyst has no effect on the value of the equilibrium constant $(K_{eq})$.
$A$ catalyst increases the rate of both the forward and backward reactions by the same proportion by lowering the activation energy.
Since both rates are increased equally,the position of equilibrium and the ratio of the mixture at equilibrium remain unchanged.
Catalysts can exist in solid,liquid,or gaseous states,not just in solution.
24
EasyMCQ
According to Le $Chatelier$ principle,if heat is given to a solid-liquid system,then:
A
Quantity of solid will reduce
B
Quantity of liquid will reduce
C
Increase in temperature
D
Decrease in temperature

Solution

(A) According to Le $Chatelier$ principle,for an endothermic process like melting $(Solid + Heat \rightleftharpoons Liquid)$,providing heat shifts the equilibrium in the forward direction.
As the equilibrium shifts forward,the solid converts into liquid.
Therefore,the quantity of solid will reduce.
25
MediumMCQ
In the reaction $A_{(g)} + 2B_{(g)} \rightleftharpoons C_{(g)} + Q \ kJ$,greater product will be obtained or the forward reaction is favoured by:
A
At high temperature and high pressure
B
At high temperature and low pressure
C
At low temperature and high pressure
D
At low temperature and low pressure

Solution

(C) The given reaction is $A_{(g)} + 2B_{(g)} \rightleftharpoons C_{(g)} + Q \ kJ$.
Since heat $(Q)$ is released,the reaction is exothermic,meaning $\Delta H < 0$.
According to Le Chatelier's principle,for an exothermic reaction,a low temperature favors the forward direction.
For the pressure effect,we look at the change in the number of moles of gaseous species: $\Delta n_g = n_p - n_r = 1 - (1 + 2) = -2$.
Since $\Delta n_g < 0$,an increase in pressure favors the side with fewer moles,which is the product side.
Therefore,high pressure and low temperature favor the forward reaction.
26
EasyMCQ
The following gaseous reaction is taking place in a vessel: $C_2H_4(g) + H_2(g) \rightleftharpoons C_2H_6(g)$; $\Delta H = -32.7 \ kcal$. Which of the following will increase the equilibrium concentration of $C_2H_6$?
A
Increase of temperature
B
By reducing temperature
C
By removing some hydrogen
D
By adding some $C_2H_6$

Solution

(B) The given reaction is $C_2H_4(g) + H_2(g) \rightleftharpoons C_2H_6(g)$ with $\Delta H = -32.7 \ kcal$.
Since $\Delta H$ is negative,the reaction is exothermic.
According to Le Chatelier's principle,for an exothermic reaction,a decrease in temperature shifts the equilibrium in the forward direction.
Therefore,reducing the temperature will increase the yield and equilibrium concentration of the product $C_2H_6$.
27
EasyMCQ
The effect of increasing the pressure on the equilibrium $2A + 3B \rightleftharpoons 3A + 2B$ is
A
Forward reaction is favoured
B
Backward reaction is favoured
C
No effect
D
None of the above

Solution

(C) For the given equilibrium reaction: $2A + 3B \rightleftharpoons 3A + 2B$
The change in the number of moles of gaseous products and reactants is calculated as: $\Delta n_g = (3 + 2) - (2 + 3) = 5 - 5 = 0$.
According to Le Chatelier's principle,if $\Delta n_g = 0$,the change in pressure has no effect on the position of the equilibrium.
Therefore,the correct option is $(c)$.
28
EasyMCQ
For the equilibrium $2NO_{2(g)} \rightleftharpoons N_2O_{4(g)} + 14.6 \ kcal$,the increase in temperature would
A
Favour the formation of $N_2O_4$
B
Favour the decomposition of $N_2O_4$
C
Not alter the equilibrium
D
Stop the reaction

Solution

(B) The given reaction is $2NO_{2(g)} \rightleftharpoons N_2O_{4(g)} + 14.6 \ kcal$.
Since heat is released in the forward direction,the forward reaction is exothermic and the reverse reaction is endothermic.
According to Le Chatelier's principle,an increase in temperature shifts the equilibrium in the direction that absorbs heat (endothermic direction).
Therefore,an increase in temperature will favour the reverse reaction,which is the decomposition of $N_2O_4$ into $NO_2$.
29
EasyMCQ
Which of the following factors will favour the reverse reaction in a chemical equilibrium?
A
Increase in the concentration of one of the reactants
B
Removal of at least one of the product at regular time intervals
C
Increase in the concentration of one or more products
D
None of these

Solution

(C) According to $Le \ Chatelier's \ principle$,if the concentration of one or more products is increased in a system at equilibrium,the system will shift in the reverse or backward direction to counteract the change and re-establish equilibrium.
Therefore,option $(C)$ is correct.
30
EasyMCQ
In the formation of $SO_3$ by the contact process,the conditions used are:
A
Catalyst,optimum temperature and higher concentration of reactants
B
Catalyst,optimum temperature and lower concentration of reactants
C
Catalyst,high temperature and higher concentration of reactants
D
Catalyst,low temperature and lower concentration of reactants

Solution

(A) The reaction for the formation of $SO_3$ is $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g) + \text{Heat}$.
According to Le Chatelier's principle,to shift the equilibrium in the forward direction (to produce more $SO_3$):
$1$. $A$ catalyst $(V_2O_5)$ is used to increase the rate of reaction.
$2$. An optimum temperature (around $673-723 K$) is maintained.
$3$. $A$ higher concentration of reactants ($SO_2$ and $O_2$) is used to favor the product formation.
Therefore,the correct conditions are catalyst,optimum temperature,and higher concentration of reactants.
31
MediumMCQ
Given reaction is $2 X_{(g)} + Y_{(g)} \rightleftharpoons 2 Z_{(g)} + 80 \ kcal$. Which combination of pressure and temperature gives the highest yield of $Z$ at equilibrium?
A
$1000 \ atm$ and $500 \ ^oC$
B
$500 \ atm$ and $500 \ ^oC$
C
$1000 \ atm$ and $100 \ ^oC$
D
$500 \ atm$ and $100 \ ^oC$

Solution

(C) The given reaction is $2 X_{(g)} Y_{(g)} \rightleftharpoons 2 Z_{(g)} 80 \ kcal$.
Since the reaction is exothermic $(\Delta H < 0)$,according to Le Chatelier's principle,a low temperature will shift the equilibrium in the forward direction to produce more $Z$.
There are $3$ moles of gaseous reactants $(2 1)$ and $2$ moles of gaseous products. Since the number of moles decreases in the forward reaction,high pressure will shift the equilibrium in the forward direction to produce more $Z$.
Therefore,the combination of high pressure $(1000 \ atm)$ and low temperature $(100 \ ^oC)$ gives the highest yield of $Z$.
32
EasyMCQ
Consider the reaction $HCN_{(aq)} \Leftrightarrow H_{(aq)}^{+} + CN_{(aq)}^{-}$. At equilibrium,the addition of $CN_{(aq)}^{-}$ would
A
Reduce $HCN_{(aq)}$ concentration
B
Decrease the $H_{(aq)}^{+}$ ion concentration
C
Increase the equilibrium constant
D
Decrease the equilibrium constant

Solution

(B) According to Le Chatelier's principle,when a product $(CN_{(aq)}^{-})$ is added to a system at equilibrium,the reaction shifts in the backward direction to counteract the change.
This shift consumes $H_{(aq)}^{+}$ ions and $CN_{(aq)}^{-}$ ions to form more $HCN_{(aq)}$.
Therefore,the concentration of $H_{(aq)}^{+}$ ions decreases.
33
EasyMCQ
In the gaseous equilibrium $H_2X_2 + \text{heat} \rightleftharpoons 2HX$,the formation of $HX$ will be favoured by
A
High pressure and low temperature
B
High temperature and low pressure
C
Low temperature and low pressure
D
High temperature and high pressure

Solution

(B) The given reaction is $H_2X_2 + \text{heat} \rightleftharpoons 2HX$.
$1$. The reaction is endothermic because heat is absorbed in the forward direction.
$2$. According to Le Chatelier's principle,an increase in temperature favors the endothermic reaction.
$3$. The number of moles of gaseous products ($2$ moles of $HX$) is greater than the number of moles of gaseous reactants ($1$ mole of $H_2X_2$).
$4$. According to Le Chatelier's principle,a decrease in pressure favors the direction with more moles of gas.
$5$. Therefore,high temperature and low pressure favor the formation of $HX$.
34
EasyMCQ
Raising the temperature of an equilibrium system:
A
Favours the exothermic reaction only
B
Favours the endothermic reaction only
C
Favours both the exothermic and endothermic reactions
D
Favours neither the exothermic nor endothermic reactions

Solution

(B) According to Le Chatelier's principle,if the temperature of a system at equilibrium is increased,the system will shift in the direction that absorbs heat to counteract the change.
Since endothermic reactions absorb heat $(\Delta H > 0)$,an increase in temperature favours the endothermic reaction.
Therefore,the correct option is $(B)$.
35
EasyMCQ
In the reaction $N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)}; \Delta H = -93.6 \ kJ$,the yield of ammonia does not increase when:
A
Pressure is increased
B
Temperature is lowered
C
Pressure is lowered
D
Volume of the reaction vessel is decreased

Solution

(C) The given reaction is $N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)}$ with $\Delta H = -93.6 \ kJ$.
Since $\Delta H < 0$,the reaction is exothermic. According to Le Chatelier's principle,lowering the temperature shifts the equilibrium to the right,increasing the yield of $NH_3$.
The total number of moles of gaseous reactants is $1 + 3 = 4$,and the number of moles of gaseous products is $2$.
Increasing the pressure or decreasing the volume of the reaction vessel shifts the equilibrium toward the side with fewer moles,which is the product side,thereby increasing the yield of $NH_3$.
Conversely,lowering the pressure shifts the equilibrium toward the side with more moles (the reactant side),which decreases the yield of $NH_3$.
36
MediumMCQ
The equilibrium which remains unaffected by a change in pressure is:
A
$N_{2(g)} + O_{2(g)} \rightleftharpoons 2NO_{(g)}$
B
$2SO_{2(g)} + O_{2(g)} \rightleftharpoons 2SO_{3(g)}$
C
$2O_{3(g)} \rightleftharpoons 3O_{2(g)}$
D
$2NO_{2(g)} \rightleftharpoons N_{2}O_{4(g)}$

Solution

(A) According to Le Chatelier's principle,a change in pressure affects the equilibrium position only if there is a change in the total number of moles of gaseous species between reactants and products (i.e.,$\Delta n_g \neq 0$).
If $\Delta n_g = 0$,the equilibrium remains unaffected by a change in pressure.
For option $A$: $\Delta n_g = 2 - (1 + 1) = 0$.
For option $B$: $\Delta n_g = 2 - (2 + 1) = -1$.
For option $C$: $\Delta n_g = 3 - 2 = 1$.
For option $D$: $\Delta n_g = 1 - 2 = -1$.
Since $\Delta n_g = 0$ for reaction $A$,it is unaffected by pressure changes.
37
EasyMCQ
The endothermic reaction $(M + N \rightleftharpoons P)$ is allowed to attain an equilibrium at $25^o C$. Formation of $P$ can be increased by
A
Raising temperature
B
Lowering temperature
C
Keeping temperature constant
D
Decreasing the concentration of $M$ and $N$

Solution

(A) According to Le Chatelier's principle,for an endothermic reaction,the forward reaction is favored by an increase in temperature.
Since the reaction $(M + N \rightleftharpoons P)$ is endothermic $(\Delta H > 0)$,raising the temperature will shift the equilibrium to the right,thereby increasing the formation of product $P$.
38
EasyMCQ
According to Le Chatelier's principle,an increase in the temperature of the following reaction will:
$N_2 + O_2 \rightleftharpoons 2NO - 43,200 \ kcal$
A
Increase the yield of $NO$
B
Decrease the yield of $NO$
C
Not affect the yield of $NO$
D
Not help the reaction to proceed in the forward direction

Solution

(A) The given reaction is $N_2 + O_2 \rightleftharpoons 2NO - 43,200 \ kcal$.
This can be rewritten as $N_2 + O_2 + 43,200 \ kcal \rightleftharpoons 2NO$.
Since the reaction absorbs heat (enthalpy change $\Delta H > 0$),it is an endothermic reaction.
According to Le Chatelier's principle,for an endothermic reaction,an increase in temperature shifts the equilibrium in the forward direction to absorb the excess heat.
Therefore,an increase in temperature will increase the yield of $NO$.
39
EasyMCQ
In the manufacture of $NH_3$ by Haber's process,the condition which would give maximum yield is $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g) + Q \ kcal$.
A
High temperature,high pressure and high concentrations of the reactants
B
High temperature,low pressure and low concentrations of the reactants
C
Low temperature and high pressure
D
Low temperature,low pressure and low concentration of $H_2$

Solution

(C) The reaction is $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g) + Q \ kcal$.
Since the reaction is exothermic $(+Q \ kcal)$,according to Le Chatelier's principle,a low temperature favors the forward reaction to increase the yield of $NH_3$.
Since the number of moles of gaseous products $(2)$ is less than the number of moles of gaseous reactants $(1+3=4)$,high pressure favors the forward reaction to increase the yield of $NH_3$.
Therefore,low temperature and high pressure are the ideal conditions for maximum yield.
40
EasyMCQ
Suppose the reaction $PCl_{5(s)} \rightleftharpoons PCl_{3(s)} + Cl_{2(g)}$ is in a closed vessel at equilibrium. What is the effect on the equilibrium concentration of $Cl_{2(g)}$ by adding $PCl_{5(s)}$ at constant temperature?
A
Decreases
B
Increases
C
Unaffected
D
Cannot be described without the value of $K_p$

Solution

(C) The reaction is $PCl_{5(s)} \rightleftharpoons PCl_{3(s)} + Cl_{2(g)}$.
Since $PCl_{5(s)}$ and $PCl_{3(s)}$ are in the solid state,their active masses are taken as $1$.
The equilibrium constant expression is $K_c = [Cl_{2(g)}]$.
Because the equilibrium constant $K_c$ depends only on temperature,and the temperature is constant,the concentration of $Cl_{2(g)}$ at equilibrium remains unchanged regardless of the amount of solid $PCl_5$ added,provided some solid is present.
41
MediumMCQ
In which of the following equilibrium reactions,the equilibrium would shift to the right,if total pressure is increased?
A
$N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$
B
$H_2(g) + I_2(g) \rightleftharpoons 2HI(g)$
C
$H_2(g) + Cl_2(g) \rightleftharpoons 2HCl(g)$
D
$N_2O_4(g) \rightleftharpoons 2NO_2(g)$

Solution

(A) According to Le Chatelier’s principle,when the total pressure of a system at equilibrium is increased,the equilibrium shifts in the direction that produces a smaller number of moles of gaseous species to counteract the pressure increase.
For the reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$,the number of moles of gaseous reactants is $1 + 3 = 4$,and the number of moles of gaseous products is $2$.
Since the product side has fewer moles $(2 < 4)$,increasing the total pressure will shift the equilibrium to the right.
For options $B$ and $C$,the number of moles of gaseous reactants equals the number of moles of gaseous products $(2 = 2)$,so pressure change has no effect.
For option $D$,the product side has more moles $(2 > 1)$,so increasing pressure shifts the equilibrium to the left.
42
MediumMCQ
In which of the following gaseous equilibrium will an increase in pressure increase the yield of the products?
A
$2HI \rightleftharpoons H_2 + I_2$
B
$2SO_2 + O_2 \rightleftharpoons 2SO_3$
C
$H_2 + Br_2 \rightleftharpoons 2HBr$
D
$H_2O + CO \rightleftharpoons H_2 + CO_2$

Solution

(B) According to Le Chatelier's principle,an increase in pressure shifts the equilibrium towards the side with a smaller number of gaseous moles.
For option $A$: $\Delta n_g = (1+1) - 2 = 0$. No effect.
For option $B$: $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$. $\Delta n_g = 2 - (2+1) = -1$. Since the product side has fewer moles,increasing pressure increases the yield of $SO_3$.
For option $C$: $\Delta n_g = 2 - (1+1) = 0$. No effect.
For option $D$: $\Delta n_g = (1+1) - (1+1) = 0$. No effect.
Therefore,the correct option is $B$.
43
EasyMCQ
In the reaction $A_{(g)} + B_{(g)} \rightleftharpoons C_{(g)}$,the backward reaction is favoured by
A
Decrease of pressure
B
Increase of pressure
C
Either of the two
D
None of the two

Solution

(A) According to Le Chatelier's principle,for a gaseous reaction,an increase in pressure shifts the equilibrium towards the side with fewer moles of gas.
In the given reaction $A_{(g)} + B_{(g)} \rightleftharpoons C_{(g)}$,the reactant side has $2$ moles of gas ($1$ mole of $A$ + $1$ mole of $B$) and the product side has $1$ mole of gas $(C)$.
Since the product side has fewer moles,an increase in pressure will favour the forward reaction.
Conversely,a decrease in pressure will favour the side with more moles of gas,which is the reactant side.
Therefore,the backward reaction is favoured by a decrease in pressure.
44
EasyMCQ
The formation of $NO_2$ in the reaction $2NO + O_2 \rightleftharpoons 2NO_2 + \text{heat}$ is favoured by
A
Low pressure
B
High pressure
C
Low temperature
D
Both $(b)$ and $(c)$

Solution

(D) According to Le Chatelier's principle,for the reaction $2NO(g) + O_2(g) \rightleftharpoons 2NO_2(g) + \text{heat}$:
$1$. The reaction is exothermic (releases heat). Therefore,decreasing the temperature shifts the equilibrium to the right to produce more heat,favoring the formation of $NO_2$.
$2$. The total number of moles of gaseous reactants is $3$ ($2$ moles of $NO$ and $1$ mole of $O_2$),while the number of moles of gaseous products is $2$ ($2$ moles of $NO_2$). Increasing the pressure shifts the equilibrium towards the side with fewer moles of gas,which is the product side,thus favoring the formation of $NO_2$.
Therefore,both high pressure and low temperature favor the formation of $NO_2$.
45
MediumMCQ
For the reaction $PCl_{5(g)} \rightleftharpoons PCl_{3(g)} + Cl_{2(g)}$,the forward reaction at constant temperature is favoured by
A
Introducing an inert gas at constant volume
B
Introducing chlorine gas at constant volume
C
Introducing an inert gas at constant pressure
D
Decreasing the volume of the container

Solution

(C) For the reaction,$PCl_{5(g)} \rightleftharpoons PCl_{3(g)} Cl_{2(g)}$,the total number of moles of gaseous products is $2$ and reactants is $1$.
According to Le Chatelier's principle,for a reaction where the number of moles of gaseous products is greater than the number of moles of gaseous reactants $(\Delta n_g > 0)$:
$1$. Introducing an inert gas at constant volume does not change the partial pressures of the reacting species,so the equilibrium remains unaffected.
$2$. Introducing chlorine gas $(Cl_2)$ increases the concentration of products,which shifts the equilibrium in the backward direction.
$3$. Introducing an inert gas at constant pressure increases the volume of the container. Since the number of moles of products is greater than reactants,the system shifts towards the side with more moles to counteract the increase in volume,thus favouring the forward reaction.
$4$. Decreasing the volume of the container increases the total pressure,which shifts the equilibrium towards the side with fewer moles (backward direction).
46
MediumMCQ
Which of the following conditions is favourable for the production of ammonia by Haber's process?
A
High concentration of reactants
B
Low temperature and high pressure
C
Continuous removal of ammonia
D
All of these

Solution

(D) The production of ammonia by Haber's process is given by the reaction: $N_2(g) + 3H_2(g) leftharpoons 2NH_3(g); \Delta H = -92.4 \ kJ \ mol^{-1}$.
$1.$ According to Le Chatelier's principle, increasing the concentration of reactants ($N_2$ and $H_2$) shifts the equilibrium to the , favoring the formation of $NH_3$.
$2.$ Since the reaction is exothermic, low temperature favors the forward reaction. High pressure is favorable because the number of moles of gaseous products $(2)$ is less than the number of moles of gaseous reactants $(4)$.
$3.$ Continuous removal of $NH_3$ from the reaction mixture shifts the equilibrium to the , promoting further production of $NH_3$.
Therefore, all the given conditions are favorable.
47
EasyMCQ
According to Le Chatelier's principle,which of the following factors influence a chemical system?
A
Concentration only
B
Pressure only
C
Temperature only
D
Concentration,pressure and temperature

Solution

(D) Le Chatelier's principle states that if a dynamic equilibrium is disturbed by changing the conditions,such as concentration,pressure,or temperature,the position of equilibrium shifts to counteract the change to re-establish a new equilibrium.
Therefore,all three factors—concentration,pressure,and temperature—influence a chemical system at equilibrium.
48
EasyMCQ
If pressure increases,what is the effect on the given equilibrium $C_{(s)} + H_2O_{(g)} \rightleftharpoons CO_{(g)} + H_{2(g)}$?
A
Forward direction
B
Backward direction
C
No effect
D
None of these

Solution

(B) The given equilibrium reaction is $C_{(s)} + H_2O_{(g)} \rightleftharpoons CO_{(g)} + H_{2(g)}$.
According to Le Chatelier's principle,when pressure is increased,the equilibrium shifts in the direction that decreases the total number of moles of gaseous species.
In this reaction,the number of moles of gaseous reactants is $1$ $(H_2O_{(g)})$ and the number of moles of gaseous products is $2$ $(CO_{(g)} + H_{2(g)})$.
Since the number of gaseous moles on the product side $(2)$ is greater than on the reactant side $(1)$,an increase in pressure will shift the equilibrium towards the side with fewer gaseous moles,which is the reactant side.
Therefore,the equilibrium will shift in the backward direction.
49
MediumMCQ
The exothermic formation of $ClF_3$ is represented by the equation $Cl_{2(g)} + 3F_{2(g)} \rightleftharpoons 2ClF_{3(g)}$; $\Delta H = -329 \ kJ$. Which of the following will increase the quantity of $ClF_3$ in an equilibrium mixture of $Cl_2, F_2$ and $ClF_3$?
A
Increasing the temperature
B
Removing $Cl_2$
C
Increasing the volume of the container
D
Adding $F_2$

Solution

(D) According to Le Chatelier's principle,for an exothermic reaction $(\Delta H < 0)$,increasing the concentration of reactants shifts the equilibrium to the right to produce more products.
Since the reaction is $Cl_{2(g)} + 3F_{2(g)} \rightleftharpoons 2ClF_{3(g)}$,adding more $F_2$ (a reactant) will shift the equilibrium towards the product side,thereby increasing the quantity of $ClF_3$.
50
MediumMCQ
What would happen to a reversible reaction at equilibrium when an inert gas is added while the pressure remains unchanged?
A
More of the product will be formed
B
Less of the product will be formed
C
More of the reactants will be formed
D
It remains unaffected

Solution

(D) When an inert gas is added to a system at equilibrium at constant pressure,the total volume of the system increases.
As a result,the concentration (moles per unit volume) of all gaseous reactants and products decreases.
According to Le Chatelier's principle,the equilibrium will shift in the direction that increases the total number of moles of gaseous species to counteract the decrease in concentration.
If the number of moles of gaseous products is greater than the number of moles of gaseous reactants,the reaction shifts towards the product side.
If the number of moles of gaseous reactants is greater than the number of moles of gaseous products,the reaction shifts towards the reactant side.
If the total number of moles of gaseous reactants equals the total number of moles of gaseous products,the equilibrium remains unaffected.

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