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JEE Advanced > Equilibrium

Explore popular questions from Equilibrium for JEE Advanced. This collection covers Equilibrium previous year JEE Advanced questions hand picked by experienced teachers.

Q 1.

Correct4

Incorrect-1

Pure ammonia is placed in a vessel at a temperature where its dissociation constant {tex} ( a ) {/tex} is appreciable. At equilibrium:

{tex} \mathrm K _ { \mathrm p } {/tex} does not change significantly with pressure.

B

does not change with pressure.

C

concentration of {tex} \mathrm { NH } _ { 3 } {/tex} does not change with pressure.

D

concentration of hydrogen is less than that of nitrogen.

Explanation

Q 2.

Correct4

Incorrect-1

The following equilibrium in established when hydrogen chloride is dissolved in acetic acid.
{tex} \mathrm { HCl } + \mathrm { CH } _ { 3 } \mathrm { COOH } \rightleftharpoons \mathrm { Cl } ^ { - } + \mathrm { CH } _ { 3 } \mathrm { COOH } _ { 2 } ^ { + } {/tex}
The set that characterises the conjugate acid-base pairs is

A

{tex} \left( \mathrm { HCl } , \mathrm { CH } _ { 3 } \mathrm { COOH } \right) {/tex} and {tex} \left( \mathrm { CH } _ { 2 } \mathrm { COOH } _ { 2 } ^ { + } , \mathrm { Cl } ^ { - } \right) {/tex}

B

{tex} \left( \mathrm { HCl } , \mathrm { CH } _ { 3 } \mathrm { COOH } _ { 2 } ^ { + } \right) {/tex} and {tex} \left( \mathrm { CH } _ { 3 } \mathrm { COOH } , \mathrm { Cl } \right) {/tex}

C

{tex} \left( \mathrm { CH } _ { 3 } \mathrm { COOH } _ { 2 } ^ { + } , \mathrm { HCl } \right) {/tex} and {tex} \left( \mathrm { Cl } ^ { - } , \mathrm { CH } _ { 3 } \mathrm { COOH } \right) {/tex}

{tex} \left( \mathrm { HCl } , \mathrm { Cl } ^ { - } \right) {/tex} and {tex} \left( \mathrm { CH } _ { 3 } \mathrm { COOH } _ { 2 } ^ { + } , \mathrm { CH } _ { 3 } \mathrm { COOH } \right) {/tex}

Explanation

Q 3.

Correct4

Incorrect-1

The degree of dissociation of water at {tex} 25 ^ { \circ } \mathrm { C } {/tex} is {tex} 1.9 \times 10 ^ { - 7 } \% {/tex} and density is {tex} 1.0 \mathrm { g } \mathrm { cm } ^ { - 3 } . {/tex} The ionic constant for water is:

A

{tex} 1.0 \times 10 ^ { - 10 } {/tex}

{tex} 1.0 \times 10 ^ { - 14 } {/tex}

C

{tex} 1.0 \times 10 ^ { - 16 } {/tex}

D

{tex} 1.0 \times 10 ^ { - 8 } {/tex}

Explanation

Q 4.

Correct4

Incorrect-1

The pH of 0.1 Msolution of the following salts increases in the order.

A

{tex} \mathrm { NaCl } < \mathrm { NH } _ { 4 } \mathrm { Cl } < \mathrm { NaCN } < \mathrm { HCl } {/tex}

{tex} \mathrm { HCl } < \mathrm { NH } _ { 4 } \mathrm { Cl } < \mathrm { NaCl } < \mathrm { NaCN } {/tex}

C

{tex} \mathrm { NaCN } < \mathrm { NH } _ { 4 } \mathrm { Cl } < \mathrm { NaCl } < \mathrm { HCl } {/tex}

D

{tex} \mathrm { HCl } < \mathrm { NaCl } < \mathrm { NaCN } < \mathrm { NH } _ { 4 } \mathrm { Cl } {/tex}

Explanation


Q 5.

Correct4

Incorrect-1

For the chemical reaction {tex} 3 \mathrm { X } ( \mathrm { g } ) + \mathrm { Y } ( \mathrm { g } ) \rightleftharpoons \mathrm { X } _ { 3 } \mathrm { Y } ( \mathrm { g } ) , {/tex} the amount of {tex} \mathrm { X } _ { 3 } \mathrm { Y } {/tex} at equilibrium is affected by

temperature and pressure

B

temperature only

C

pressure only

D

temperature, pressure and catalyst

Explanation

Q 6.

Correct4

Incorrect-1

For the reversible reaction, {tex} \mathrm { N } _ { 2 } ( \mathrm { g } ) + 3 \mathrm { H } _ { 2 } ( \mathrm { g } ) \rightleftharpoons 2 \mathrm { NH } _ { 3 } ( \mathrm { g } ) {/tex} at {tex} 500 ^ { \circ } \mathrm { C } , {/tex} the value of {tex}\mathrm K _ { \mathrm p } {/tex} is {tex} 1.44 \times 10 ^ { - 5 } {/tex} when partial pressure is measured in atmospheres. The corresponding value of {tex} \mathrm K _ { \mathrm c } , {/tex} with concentration in mole litre", is

A

{tex} \frac { 1.44 \times 10 ^ { - 5 } } { ( 0.082 \times 500 ) ^ { - 2 } } {/tex}

B

{tex} \frac { 1.44 \times 10 ^ { - 5 } } { ( 8.314 \times 773 ) ^ { - 2 } } {/tex}

C

{tex} \frac { 1.44 \times 10 ^ { - 5 } } { ( 0.082 \times 773 ) ^ { 2 } } {/tex}

{tex} \frac { 1.44 \times 10 ^ { - 5 } } { ( 0.082 \times 773 ) ^ { - 2 } } {/tex}

Explanation

Q 7.

Correct4

Incorrect-1

The oxidation of {tex} \mathrm { SO } _ { 2 } {/tex} by {tex} \mathrm { O } _ { 2 } {/tex} to {tex} \mathrm { SO } _ { 3 } {/tex} is an exothermic reaction. The yield of {tex} \mathrm { SO } _ { 3 } {/tex} will be maximum if

A

temperature is increased and pressure is kept constant

temperature is reduced and pressure is increased

C

both temperature and pressure are increased

D

both temperature and pressure are reduced

Explanation

Q 8.

Correct4

Incorrect-1

For the reaction {tex} \mathrm { H } _ { 2 } ( \mathrm { g } ) + \mathrm { I } _ { 2 } ( \mathrm { g } ) \rightleftharpoons 2 \mathrm { HI } ( \mathrm { g } ) , {/tex} the equilibrium constant {tex} K _ { p } {/tex} changes with

A

total pressure

B

catalyst

C

the amounts of {tex} \mathrm { H } _ { 2 } {/tex} and {tex} \mathrm { I } _ { 2 } {/tex} present

temperature

Explanation

Q 9.

Correct4

Incorrect-1

The equilibrium, {tex} \mathrm { SO } _ { 2 } \mathrm { Cl } _ { 2 } ( \mathrm { g } ) \rightleftharpoons \mathrm { SO } _ { 2 } ( \mathrm { g } ) + \mathrm { Cl } _ { 2 } ( \mathrm { g } ) {/tex} is attained at {tex} 25 ^ { \circ } \mathrm { C } {/tex} in a closed container and an inert gas, helium, is introduced. Which of the following statements are correct?

A

Concentrations of {tex} \mathrm { SO } _ { 2 } , \mathrm { Cl } _ { 2 } {/tex} and {tex} \mathrm { SO } _ { 2 } \mathrm { Cl } _ { 2 } {/tex} are changed

B

More chlorine is formed

C

Concentration of {tex} \mathrm { SO } _ { 2 } {/tex} is reduced

More {tex} \mathrm { SO } _ { 2 } \mathrm { Cl } _ { 2 } {/tex} is formed

Explanation

Q 10.

Correct4

Incorrect-1

One mole of {tex} \mathrm { N } _ { 2 } \mathrm { O } _ { 4 } ( \mathrm { g } ) {/tex} at {tex} 300 \mathrm { K } {/tex} is kept in a closed container under one atmosphere. It is heated to {tex} 600 \mathrm { K } {/tex} when {tex} 20 \% {/tex} by mass of {tex} \mathrm { N } _ { 2 } \mathrm { O } _ { 4 } ( \mathrm { g } ) {/tex} decomposes to {tex} \mathrm { NO } _ { 2 } ( \mathrm { g } ) {/tex}. The resultant pressure is

A

1.2 atm

2.4atm

C

2.0 atm

D

1.0 atm

Explanation

Q 11.

Correct4

Incorrect-1

For the reaction {tex} \mathrm { CO } ( \mathrm { g } ) + \mathrm { H } _ { 2 } \mathrm { O } ( \mathrm { g } ) \rightleftharpoons \mathrm { CO } _ { 2 } ( \mathrm { g } ) + \mathrm { H } _ { 2 } ( \mathrm { g } ) {/tex} at a given temperature, the equilibrium amount of {tex} \mathrm { CO } _ { 2 } ( \mathrm { g } ) {/tex} can be increased by

A

adding a suitable catalyst

B

adding an inert gas

C

decreasing the volume of the container

increasing the amount of {tex} \mathrm { CO } ( \mathrm { g } ) {/tex}

Explanation

Q 12.

Correct4

Incorrect-1

Pure ammonia is placed in a vessel at a temperature where its dissociation constant {tex} \left( K _ { p } \right) {/tex} is appreciable. At equilibrium:

{tex} K _ { p } {/tex} does not change significantly with pressure

B

{tex} \alpha {/tex} does not change with pressure

C

concentration of {tex} \mathrm { NH } _ { 3 } {/tex} does not change with pressure

D

concentration of {tex} \mathrm { H } _ { 2 } {/tex} is less than that of nitrogen

Explanation

Q 13.

Correct4

Incorrect-1

For the chemical reaction {tex} 3 \mathrm { X } ( \mathrm { g } )+\mathrm { Y } ( \mathrm { g } ) \rightleftharpoons \mathrm { X } _ { 3 } \mathrm { Y } ( \mathrm { g } ) , {/tex} the amount of {tex} \mathrm { X } _ { 3 } \mathrm { Y } {/tex} at equilibrium is affected by

temperature and pressure

B

temperature only

C

pressure only

D

temperature, pressure and catalyst

Explanation


Q 14.

Correct4

Incorrect-1

For the reversible reaction, {tex} \mathrm { N } _ { 2 } ( \mathrm { g } ) + 3 \mathrm { H } _ { 2 } ( \mathrm { g } ) = 2 \mathrm { NH } _ { 3 } ( \mathrm { g } ) {/tex} at {tex} 500 ^ { \circ } \mathrm { C } , {/tex} the value of {tex} K _ { p } {/tex} is {tex} 1.44 \times 10 ^ { - 5 } \mathrm { when } {/tex} partial pressure is measured in atmospheres. The corresponding value of {tex} K _ { c } , {/tex} with concentration in {tex} \mathrm {mol \ { L } ^ { - 1 }} , {/tex} is

A

{tex} 1.44 \times 10 ^ { - 5 } / ( 0.082 \times 500 ) ^ { - 2 } {/tex}

B

{tex} 1.44 \times 10 ^ { - 5 } / ( 8.314 \times 773 ) ^ { - 2 } {/tex}

C

{tex} 1.44 \times 10 ^ { - 5 } / ( 0.082 \times 773 ) ^ { 2 } {/tex}

{tex} 1.44 \times 10 ^ { - 5 } / ( 0.082 \times 773 ) ^ { - 2 } {/tex}

Explanation

Q 15.

Correct4

Incorrect-1

When two reactants, {tex} A {/tex} and {tex} B {/tex} are mixed to give products {tex} C {/tex} and {tex} D , {/tex} the reaction quotient, {tex} Q , {/tex} at the initial stages of the reaction

A

is zero

B

decreases with time

C

is independent of time

increases with time

Explanation

Q 16.

Correct4

Incorrect-1

At constant temperature, the equilibrium constant {tex} \left( K _ { p } \right) {/tex} for the decomposition reaction {tex} \mathrm { N } _ { 2 } \mathrm { O } _ { 4 } \rightleftharpoons 2 \mathrm { NO } _ { 2 } {/tex} is expressed by {tex} K _ { p } = \left( 4 x ^ { 2 } p \right) / \left( 1 - x ^ { 2 } \right) , {/tex} where {tex} p = {/tex} pressure, {tex} x = {/tex} extent of decomposition. Which one of the following statements is true?

A

{tex} K _ { p } {/tex} increases with increase of {tex} p {/tex}

B

{tex} K _ { p } {/tex} increases with increase of {tex} x {/tex}

C

{tex} K _ { p } {/tex} increases with decrease of {tex} x {/tex}

{tex} K _ { p } {/tex} remains constant with change in {tex} p {/tex} and {tex} x {/tex}

Explanation

Q 17.

Correct4

Incorrect-1

Consider the following equilibrium in a closed container:
{tex} \mathrm { N } _ { 2 } \mathrm { O } _ { 4 } ( \mathrm { g } ) \rightleftharpoons 2 \mathrm { NO } _ { 2 } ( \mathrm { g } ) {/tex}
At a fixed temperature, the volume of the reaction container is halved. For this change, which of the following statements holds true regarding the equilibrium constant {tex} \left( K _ { p } \right) {/tex} and degree of dissociation {tex} ( \alpha ) ? {/tex}

A

neither {tex} K _ { p } {/tex} nor {tex} \alpha {/tex} changes

B

both {tex} K _ { p } {/tex} and {tex} \alpha {/tex} change

C

{tex} K _ { p } {/tex} changes, but {tex} \alpha {/tex} does not change

{tex} K _ { p } {/tex} does not change, but {tex} \alpha {/tex} changes

Explanation

Q 18.

Correct4

Incorrect-1

Haber-Bosch process for the manufacture of {tex} \mathrm { NH } _ { 3 } {/tex} is based on the reaction
{tex} \mathrm { N } _ { 2 } ( \mathrm { g } ) + 3 \mathrm { H } _ { 2 } ( \mathrm { g } ) \stackrel { \text { catalyst } } { \rightleftharpoons } 2 \mathrm { NH } _ { 3 } ( \mathrm { g } ) ; \quad \Delta _ { \mathrm { r } } H ^ { \circ } = - 45.0 \mathrm { kJ } \mathrm { mol } ^ { - 1 } ; K _ { p } ^ { \circ } = 14 {/tex}
Which of the following information regarding the above reaction is correct?

A

On adding {tex} \mathrm { N } _ { 2 } , {/tex} the equilibrium is shifted to right side with an increase in entropy.

B

The equilibrium constant {tex} K _ { p } ^ { \circ } {/tex} increases with increase in temperature.

At equilibrium, {tex} 2 G _ { \mathrm { m } } \left( \mathrm { NH } _ { 3 } \right) = G _ { \mathrm { m }} ( \mathrm { N_2 } ) + 3 G _ { \mathrm { m } } \left( \mathrm { H } _ { 2 } \right) {/tex} where {tex} G _ { \mathrm { m } } {/tex} represents the molar Gibbs function of the species enclosed within the brackets.

D

The use of catalyst helps increasing the rate of forward reaction more than that of backward reaction thereby increasing the yield of {tex} \mathrm { NH } _ { 3 } {/tex}.

Q 19.

Correct4

Incorrect-1

The {tex} \% {/tex} yield of ammonia as a function of time in the reaction {tex} \mathrm { N } _ { 2 } ( \mathrm { g } ) + 3 \mathrm { H } _ { 2 } ( \mathrm { g } ) \rightleftharpoons 2 \mathrm { NH } _ { 3 } ( \mathrm { g } ) ; \Delta H < 0 {/tex} at {tex} \left( P , T _ { 1 } \right) {/tex} is given below:

If this reaction is conducted at {tex} \left( P , T _ { 2 } \right) , {/tex} with {tex} T _ { 2 } /> T _ { 1 } , {/tex} the {tex} \% {/tex} yield of ammonia as a function of time is represented by

A

B

D

Explanation