Chemical Kinetics Question Answers: NCERT Class 12 Chemistry

Current NCERT chapter
Academic session 2026-27
2 Solutions · 0 Topics · 0 Notes resources

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Chapter Details

Chapter
3 — Chemical Kinetics
NCERT Book
Chemistry Parts I and II
Language
English
Edition
Academic session 2026-27

Use this Class 12 Chemistry chapter hub to study Chemical Kinetics from one place. SaralStudy currently provides 2 visible NCERT solution entries on this page.

NCERT Solutions

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Exercise 1



A:

The order of reaction is defined as the sum of the powers of concentrations In the rate law.

The rate of second order reaction can be expressed as     rate = k [A]2

The reaction X → Y follows second order kinetics.

Therefore, the rate equation for this reaction will be:

Rate = k [X]2                                                    ________________________   (1)

Let [X] = a mol L-1 , then equation (1) can be written as:

Rate = k [a]2

= ka2

If the concentration of X is increased to three times, then [X] = 3a mol L-1

Now, the rate equation will be:

Rate = k [3a]2

= 9 (ka2)

Hence, the rate of formation will increase by 9 times.


A:

From the question, we can write down the following information:

Initial amount = 5 g

Final concentration = 3 g

Rate constant = 1.15 10 - 3s - 1

We know that for a 1st order reaction,

= 444.38 s

= 444 s (approx)


A:

We know that for a 1st order reaction,

t½  = 0.693 / k

It is given that t1/2= 60 min

k = 0.693 / t½ 

  = 0.693 / 60

  = 0.01155 min-1

   = 1.155 min-1

Or

k = 1.925 x 10-2 s-1


A:

The rate constant of a reaction is nearly doubled with a 10° rise in temperature. However, the exact dependence of the rate of a chemical reaction on temperature is given by Arrhenius equation,

k = Ae - Ea / RT

Where,

A is the Arrhenius factor or the frequency factor

T is the temperature

R is the gas constant

Ea is the activation energy


A:

It is given that T1 = 298 K

∴T2 = (298 + 10) K

= 308 K

We also know that the rate of the reaction doubles when temperature is increased by 10°.

Therefore, let us take the value of k1 = k and that of k2 = 2k

Also, R = 8.314 J K - 1 mol - 1

Now, substituting these values in the equation:

= 52897.78 J mol - 1

= 52.9 kJ mol - 1


A:

In the given case:

Ea = 209.5 kJ mol - 1 = 209500 J mol - 1

T = 581 K

R = 8.314 JK - 1 mol - 1

Now, the fraction of molecules of reactants having energy equal to or greater than activation energy is given as

 


Exercise 2
A:

(i) Given rate = k [NO]2

Therefore, order of the reaction = 2

Dimension of k = Rate / [NO]2

= mol L-1 s-1 / (mol L-1)2

= mol L-1 s-1 / mol2 L-2

= L mol-1 s-1

 

(ii) Given rate = k [H2O2][I - ]

Therefore, order of the reaction = 2

Dimension of k = Rate  / [H2O2][I - ]

= mol L-1 s-1  / (mol L-1) (mol L-1)

= L mol-1 s-1

 

(iii) Given rate =k [CH3CHO]3/2

Therefore, order of reaction = 3/2

Dimension of k = Rate / [CH3CHO]3/2

=  mol L-1 s-1   / (mol L-1)3/2

= mol L-1 s-1   / mol3/2  L-3/2

= L½ mol-½  s-1

 

(iv) Given rate = k [C2H5Cl]

Therefore,order of the reaction = 1

Dimension of k = Rate /  [C2H5Cl]

= mol L-1 s-1   / mol L-1

= s-1


A:

Let the order of the reaction with respect to A be xand with respect to B be y.

Therefore,

= 1.496

= 1.5 (approximately)

Hence, the order of the reaction with respect to A is 1.5 and with respect to B is zero.



A:

The given reaction is of the first order with respect to A and of zero order with respect to B.

Therefore, the rate of the reaction is given by,

Rate = k [A]1[B]0

⇒ Rate = k [A]

From experiment I, we obtain

2.0 x 10-2mol L-1min-1= k (0.1 mol L-1)

⇒ k = 0.2 min-1

From experiment II, we obtain

4.0 x 10-2mol L-1min-1= 0.2 min-1[A]

⇒ [A] = 0.2 mol L-1

From experiment III, we obtain

Rate = 0.2 min-1 x 0.4 mol L-1

= 0.08 mol L-1min-1

From experiment IV, we obtain

2.0 x 10-2mol L-1min-1= 0.2 min-1[A]

⇒ [A] = 0.1 mol L-1


A:

(i) Half life, t½ = 0.693 / k

= 0.693 / 200 s-1

= 3.47 ×10 -3 s (approximately)

 

(ii) Half life, t½ = 0.693 / k

= 0.693 / 2 min-1

= 0.35 min (approximately)

 

(iii) Half life,t½ = 0.693 / k

= 0.693 / 4 years-1

= 0.173 years (approximately)


A:

Here,

K = 0.693 / t½

= 0.693 / 5730 years-1

It is known that,

= 1845 years (approximately)

Hence, the age of the sample is 1845 years.


A:

(i)

 

(ii) Time corresponding to the concentration, 1630x102 / 2 mol L-1 = 81.5 mol L-1 is the half life. From the graph, the half life is obtained as 1450 s.

 

(iii)

t/s 102 × [N2O5]  mol L-1 Log [N2O5]
0 1.63 -1.79
400 1.36 -1.87
800 1.14 -1.94
1200 0.93 -2.03
1600 0.78 -2.11
2000 0.64 -2.19
2400 0.53 -2.28
2800 0.43 -2.37
3200 0.35 -2.46

 

(iv) The given reaction is of the first order as the plot, log[N2O5]   v/s t, is a straight line. Therefore, the rate law of the reaction is

Rate = k [N2O5]

 

(v) From the plot,  log[N2O5]

v/s t, we obtain

Slope = -2.46 -(1.79) / 3200-0

= -0.67 / 3200

Again, slope of the line of the plot log[N2O5] v/s t is given by

- k / 2.303

.Therefore, we obtain,

- k / 2.303  = - 0.67 / 3200

⇒ k = 4.82 x 10-4 s-1

 

(vi) half life is given by,

t½ = 0.693 / k

= 0.639 / 4.82x10-4 s

=1.438 x 103 s

Or we can say

1438 S

Which is very near to what we obtain from graph.

 

 

 




A:

For a first order reaction, the time required for 99% completionis

t1 = 2.303/k Log 100/100-99

= 2.303/k Log 100

= 2x 2.303/k

For a first order reaction, the time required for 90% completion is

t2 = 2.303/k Log 100/100-90

= 2.303/k Log 10

= 2.303/k

Therefore, t1 = 2t2

Hence, the time required for 99% completion of a first order reaction is twice the time required for the completion of 90% of the reaction.


A:

For a first order reaction,

t = 2.303/k Log [R] º / [R]

k = 2.303/40min  Log 100 / 100-30

= 2.303/40min  Log 10 / 7

= 8.918 x 10-3 min-1

Therefore, t1/2 of the decomposition reaction is

t1/2 = 0.693/k

=  0.693 / 8.918 x 10-3  min

= 77.7 min (approximately)


A:

The initial rate of the reaction is

Rate = k [A][B]2

= (2.0 × 10 - 6mol - 2L2s - 1) (0.1 mol L - 1) (0.2 mol L - 1)2

= 8.0 × 10 - 9mol - 2L2s - 1

When [A] is reduced from 0.1 mol L - 1to 0.06 mol - 1, the concentration of A reacted = (0.1 - 0.06) mol L - 1 = 0.04 mol L - 1

Therefore, concentration of B reacted= 1/2 x 0.04 mol L-1 = 0.02 mol L - 1

Then, concentration of B available, [B] = (0.2 - 0.02) mol L - 1

= 0.18 mol L - 1

After [A] is reduced to 0.06 mol L - 1, the rate of the reaction is given by,

Rate = k [A][B]2

= (2.0 × 10 - 6mol - 2L2s - 1) (0.06 mol L - 1) (0.18 mol L - 1)2

= 3.89 mol L - 1s - 1


A:

The decomposition of azoisopropane to hexane and nitrogen at 543 K is represented by the following equation.

After time, t, total pressure, Pt = (Pº - p) + p + p

⇒ Pt = (Pº + p)

⇒ p = Pt  - Pº

therefore, Pº - p = Pº  - Pt  - Pº

= 2 Pº -  Pt

For a first order reaction,

k = 2.303/t  Log  Pº / Pº  - p

=   2.303/t  Log  Pº / 2 Pº  -  Pt

When t = 360 s, k = 2.303 / 360s log 35.0 / 2x35.0 - 54.0

= 2.175 × 10 - 3 s - 1

When t = 720 s, k = 2.303 / 720s log 35.0 / 2x35.0 - 63.0

= 2.235 × 10 - 3 s - 1

Hence, the average value of rate constant is

k = (2.175 × 10 - 3  + 2.235 × 10 - 3 ) / 2   s - 1

= 2.21 × 10 - 3 s - 1


A:

The thermal decomposition of SO2Cl2at a constant volume is represented by the following equation.

After time, t, total pressure,Pt = (Pº - p) + p + p

⇒ Pt = (Pº + p)

⇒ p = Pt  - Pº

therefore, Pº - p = Pº  - Pt  - Pº

= 2 Pº -  Pt

For a first order reaction,

k = 2.303/t  Log  Pº / Pº  - p

=   2.303/t  Log  Pº / 2 Pº  -  Pt

 

When t= 100 s,

k = 2.303 / 100s log 0.5 / 2x0.5 - 0.6

= 2.231 × 10 - 3s - 1

 

When Pt= 0.65 atm,

P0+ p= 0.65

⇒ p= 0.65 - P0

= 0.65 - 0.5

= 0.15 atm

Therefore, when the total pressure is 0.65 atm, pressure of SOCl2 is

pSOCL2 = P0 - p

= 0.5 - 0.15

= 0.35 atm

Therefore, the rate of equation, when total pressure is 0.65 atm, is given by,

Rate = k(pSOCL2)

= (2.23 × 10 - 3s - 1) (0.35 atm)

= 7.8 × 10 - 4atm s - 1


A:

From the given data, we obtain

T/°C 0 20 40 60 80

T/K

273 293 313 333 353
1/T / k-1

3.66×10 - 3

3.41×10 - 3

3.19×10 - 3

3.0×10 - 3

2.83 ×10 - 3

105 X K /S-1 0.0787 1.70 25.7 178 2140
In k -7.147 -4.075 -1.359 -0.577 3.063

Slope of the line,

In k= - 2.8

Therefore, k = 6.08x10-2s-1

Again when T = 50 + 273K = 323K,

1/T = 3.1 x 10-3 K

In k = - 0.5

Therefore, k = 0.607 s-1

 


A:

k= 2.418 × 10-5 s-1 

T= 546 K

Ea= 179.9 kJ mol - 1 = 179.9 × 103J mol - 1

According to the Arrhenius equation,

= (0.3835 - 5) + 17.2082

= 12.5917

Therefore, A = antilog (12.5917)

= 3.9 × 1012 s - 1(approximately)


A:

k= 2.0 × 110-2 s-1

T= 100 s

[A]o= 1.0 moL - 1

Since the unit of kis s - 1, the given reaction is a first order reaction.

Therefore, k = 2.303/t  Log  [A]º / [A]

⇒2.0 × 110-2 s-1  = 2.303/100s  Log  1.0 / [A]

⇒2.0 × 110-2 s-1  = 2.303/100s  ( - Log [A] )

⇒ - Log [A] = -  (2.0 x 10-2 x 100) /   2.303

⇒ [A] = antilog [-  (2.0 x 10-2 x 100)  /  2.303]

= 0.135 mol L - 1 (approximately)

Hence, the remaining concentration of A is 0.135 mol L - 1.


A:

For a first order reaction,

k = 2.303/t  Log  [R]º / [R]

It is given that, t1/2 = 3.00 hours

Therefore, k = 0.693 / t1/2

= 0.693 / 3  h-1

= 0.231 h - 1

Then, 0.231 h - 1 = 2.303 / 8h  Log  [R]º / [R]

Hence, the fraction of sample of sucrose that remains after 8 hours is 0.158.


A:

The given equation is

k = (4.5 x 1011 s-1) e-28000 K/T           (i)

Arrhenius equation is given by,

k= Ae -Ea/RT                                                (ii)

From equation (i) and (ii), we obtain

Ea  / RT  =  28000K / T

⇒ Ea  = R x 28000K 

= 8.314 J K - 1mol - 1× 28000 K

= 232792 J mol - 1

= 232.792 kJ mol - 1


A:

Arrhenius equation is given by,

k= Ae -Ea/RT  

⇒In k = In A - Ea/RT

⇒In k = Log A - Ea/RT

⇒ Log k = Log A - Ea/2.303RT         (i)

The given equation is

Log k = 14.34 - 1.25 104 K/T             (ii)

From equation (i) and (ii), we obtain

Ea/2.303RT  = 1.25 104 K/T  

⇒ Ea  =1.25 × 104K × 2.303 × R

= 1.25 × 104K × 2.303 × 8.314 J K - 1mol - 1

= 239339.3 J mol - 1 (approximately)

= 239.34 kJ mol - 1

 

Also, when t1/2= 256 minutes,

k = 0.693 / t1/2

= 0.693 / 256

= 2.707 × 10 - 3 min - 1

= 4.51 × 10 - 5s - 1

It is also given that, log k= 14.34 - 1.25 × 104K/T

= 668.95 K

= 669 K (approximately)


A:

From Arrhenius equation, we obtain

log k2/k1 = Ea / 2.303 R (T2 - T1) / T1T2

Also, k1 = 4.5 × 103 s - 1

T1 = 273 + 10 = 283 K

k2 = 1.5 × 104 s - 1

Ea = 60 kJ mol - 1 = 6.0 × 104 J mol - 1

Then,

= 297 K = 24°C

Hence, k would be 1.5 × 104 s - 1 at 24°C.


A:

For a first order reaction,

t = 2.303 / k log a  / a - x

At 298 K,

t = 2.303 / k log 100  / 90

= 0.1054 / k

At 308 K,

t' = 2.303 / k' log 100  / 75

= 2.2877 / k'

According to the question,

t = t'

⇒ 0.1054 / k  =  2.2877 / k'

⇒ k' / k  = 2.7296

From Arrhenius equation,we obtain

 To calculate k at 318 K,

It is given that, A = 4 x 1010 s-1, T = 318K

Again, from Arrhenius equation, we obtain

Therefore, k = Antilog (-1.9855)

= 1.034 x 10-2 s -1

    


A:

The decomposition of NH3on platinum surface is represented by the following equation.

= 7.5 × 10 - 4mol L - 1s - 1




A:

The factors that affect the rate of a reaction areas follows.

(i) Concentration of reactants (pressure in case of gases)

(ii) Temperature

(iii) Presence of a catalyst


A:

Let the concentration of the reactant be [A] = a

Rate of reaction, R = k [A]2 = ka2

 

(i) If the concentration of the reactant is doubled, i.e. [A] = 2a, then the rate of the reaction would be

R = k(2a)2

= 4ka2

= 4 R

Therefore, the rate of the reaction would increase by 4 times.

 

(ii) If the concentration of the reactant is reduced to half, i.e. [A] = 1/2 a, then the rate of the reaction would be

R = k(1/2a)2

= 1/4 Ka2

= 1/4 R


A:

The rate constant is nearly doubled with a rise in temperature by 10° for a chemical reaction.

The temperature effect on the rate constant can be represented quantitatively by Arrhenius equation,

K = Ae -Ea / RT

where, kis the rate constant,

A is the Arrhenius factor or the frequency factor,

R is the gas constant,

T is the temperature, and

Ea is the energy of activation for the reaction


A:

(i) Average rate of reaction between the time interval, 30 to 60 seconds, = d[ester] / dt

= (0.31-0.17) / (60-30)

= 0.14 / 30

= 4.67 × 10 - 3mol L - 1s - 1

 

(ii) For a pseudo first order reaction,

k = 2.303/ t log [R]º / [R]

For t= 30 s, k1 = 2.303/ 30 log 0.55 / 0.31

= 1.911 × 10 - 2s - 1

For t = 60 s, k2 = 2.303/ 60 log 0.55 / 0.17

= 1.957 × 10 - 2s - 1

For t= 90 s, k3 = 2.303/ 90 log 0.55 / 0.085

= 2.075 × 10 - 2s - 1

Then, average rate constant, k = k1 + k2+ k3  / 3

= 1.911 × 10 - 2  + 1.957 × 10 - 2 + 2.075 × 10 - 2 / 3

= 1.981 x 10-2 s - 1



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