All questions of Chemical Kinetics for Chemistry Exam

For which the following remarks the concentration of a reactant decreases linearly with time. What is the order of the reaction?
  • a)
    1st order.
  • b)
    Fractional order.
  • c)
    2nd order.
  • d)
    Zero order.
Correct answer is option 'D'. Can you explain this answer?

For  Zero order reaction concentration of a reactant decreases linearly with time.
The integral form of zero order reactions can be rewritten as
[A]=–kt+[A0]
Comparing this equation with that of a straight line (y = mx + c), an [A] against t graph can be plotted to get a straight line with slope equal to ‘-k’ and intercept equal to [A]0 as shown below.

Calculate order of reaction A → product , from the following data:
  • a)
    –1
  • b)
    –2
  • c)
    1
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?

By doubling the concentration the rate becomes half from (i) to (ii) also from (ii) to (iii).
Hence, B is correct.

The value of the rate constant for the gas phase reaction, 2NO2 +F2 →2NO2F is 38 dm3 mol–1s–1 at 300K. The order of the reaction is:
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?

Rajeev Sharma answered
For the gas phase reaction 2NO2 + F2" 2NO2F, the rate constant is k= 38 dm3/mol-s at 27 oC. The reaction is first-order in NO2 and first-order in F2. A) Calculate the number of moles of NO2, F2, and NO2F after 10.0 s if 2.00 mol of NO2 is mixed with 

For a second-order reaction, what is the unit of the rate of the reaction?
  • a)
    s-1
  • b)
    mol L-1s-1   
  • c)
    Lmol-1s-1
  • d)
    mol-2 L2 s-1
Correct answer is option 'C'. Can you explain this answer?

The unit for the rate constant of a second order reaction is Lmol−1s−1
For a second order reaction, rate=k[A]2
molL−1s−1=k(molL−1)2
k=Lmol−1s−1

The concentration of a reactant undergoing decomposition was 0.1, 0.08 and 0.067 mol L–1 after 1.0, 2.0 and 3.0 hr respectively. The order of the reaction is:
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?

Vikram Kapoor answered
Correct Answer :- c
Explanation : A ----->k P
-d[A]/dt = k[A](0 to n)
-{[A]0 - [A]}/(t2 - t1) = k[A](0 to n)
{[A] - [A]0}/(t2 - t1) = k[A](0 to n)
[A]0 = concentration at t1
and [A] = concentration at t2
{[A] - [A]0}/(t2 - t1) = k[A](0 to n)
(0.1-0.08)/(2-1) = k[0.1]n
k[0.1]n = 0.02......(1)
(0.08-0.067)/(3-2) = k[0.08]n
k[0.08]n = 0.013.........(2)
Dividing (1) by (2)
k[0.1]n/k[0.08]n = 0.02/0.013
{[0.1]/[0.08]}n = 1.5385
[1.25]n = 1.5385
[1.25]n = (1.25)2
n = 2

Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:
  • a)
    56.8 min
  • b)
    170.4 min
  • c)
    85.2 min
  • d)
    227.2 min
Correct answer is option 'C'. Can you explain this answer?

Sneha Menon answered
Given data:
Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process.
Halflife of reaction = 28.4 min
Initial concentration of sucrose, [sucrose]₀ = 8.0 mM
Final concentration of sucrose, [sucrose] = 1.0 mM

To find: Time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM

Calculation:
The given reaction is a pseudo first order reaction, which means it can be represented as:
Rate = k [sucrose]
where k is the rate constant of the reaction.

The halflife of the reaction is given as 28.4 min. This means that the concentration of sucrose will reduce to half its initial value in 28.4 min. Therefore, we can use the following equation to find the rate constant:

t1/2 = ln 2 / k

Substituting the given value of halflife in the above equation, we get:
28.4 = ln 2 / k
k = ln 2 / 28.4

Now, we can use the rate constant to find the time required for the concentration of sucrose to reduce from 8.0 mM to 1.0 mM. We can use the following equation for a first order reaction:

ln [sucrose]₀ / [sucrose] = kt

Substituting the given values in the above equation, we get:
ln 8.0 / 1.0 = (ln 2 / 28.4) t
t = (28.4 / ln 2) ln 8.0 / 1.0
t = 85.2 min

Therefore, the time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is 85.2 min. Hence, option (c) is the correct answer.

The t1/2 of a reaction is doubled as the initial concentration of a reactant is increased 4 times. The order of the reaction is:
  • a)
    0.5
  • b)
    1
  • c)
    0
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?

Chirag Verma answered
Correct Answer :- c
Explanation : A → P . For zero order reaction, rate= k. So, unit of k is
moles/sec.
- d[A]/dt = k
Upon integration between limits, [ A ] − [ A0 ] = − kt 
 At t1/2, [A]=[A0]/2.
Hence, t1/2 = [A0]/2k
Increased by 4 times, so it will become double
 

The Arrhenius parameters for the thermal decomposition of NaCl, 2NOCl(g)→2NO(g)+CI2 are A = 1013 M–1s–1, E0 = 105kJ mol–1 and RT = 2.5 kJ mol–1. The enthalpy (in kJ mol–1) of the activated complex will be.
  • a)
    110
  • b)
    105
  • c)
    102.5
  • d)
    100
Correct answer is option 'D'. Can you explain this answer?

Arrhenius Parameters for Thermal Decomposition of NaCl

- The Arrhenius parameters for the thermal decomposition of NaCl, 2NOCl(g)2NO(g) CI2 are:

- A = 1013 M1s1
- E0 = 105 kJ mol1
- RT = 2.5 kJ mol1

Enthalpy of the Activated Complex

- The enthalpy (in kJ mol1) of the activated complex can be calculated using the Arrhenius equation:

k = Ae(-E0/RT)

- where k is the rate constant, A is the pre-exponential factor, E0 is the activation energy, R is the gas constant (8.314 J K-1 mol-1), and T is the temperature in Kelvin.

- Taking the natural logarithm of both sides of the equation, we get:

ln(k) = ln(A) - (E0/RT)

- Rearranging the equation, we get:

(E0/RT) = ln(A/k) + ln(k)

- Substituting the given values, we get:

(E0/RT) = ln(1013 M1s1/2) + ln(2.5 kJ mol1)

- Simplifying the equation, we get:

(E0/RT) = 20.83 + 1.10

- Therefore, the enthalpy (in kJ mol1) of the activated complex is:

(E0/RT) = 21.93 kJ mol1

- Rounded to the nearest whole number, the answer is:

(E0/RT) = 22 kJ mol1

- Therefore, the correct answer is option 'D' (100 kJ mol1).

In a zero-order reaction for every 10° rise of temperature, the rate is doubled. If the temperature is increased from 10°C to 100°C, the rate of the reaction will become 
  • a)
    64 times
  • b)
    128 times
  • c)
    256 times
  • d)
    512 times
Correct answer is option 'D'. Can you explain this answer?

For 10^o rise in temperature, n = 1
so rate = 2^n = 2^1 = 2
When temperature is increased from 10^o C to 100^o C change in temperature = 100 -10 = 90^oC i.e n=9 so, rate = 29 = 512 times.

Alternate method: With every 10^o C  rise in temperature, rate becomes double, so 
r^r/r = 2 (100 - 10 /10) = 2^9 = 512 times

In a consecutive first order reaction,
(where k1 and k2 are the respective rate constants) species B has transient existence. Therefore,
  • a)
    k1 ≈ k2
  • b)
    k1 = 2 k2
  • c)
    k1 >> k2
  • d)
    k1 << k2
Correct answer is option 'D'. Can you explain this answer?

Anisha Pillai answered
We cannot determine the values of k1 and k2 based on the given information.

However, we can make some observations based on the fact that species B has a transient existence.

In a consecutive first order reaction, the reaction mechanism involves a series of consecutive steps, each with its own rate constant. Species B is likely an intermediate that is formed in the first step and consumed in the second step.

If species B has a very short lifespan, it means that the second step is much faster than the first step. This implies that k2 is much larger than k1.

We can also say that the concentration of species B at any given time is proportional to k1/k2. This is because the rate of formation of B is proportional to k1[A], while the rate of consumption of B is proportional to k2[B]. At equilibrium, the rate of formation of B equals the rate of consumption of B, so k1[A] = k2[B]. Solving for [B] gives [B] = k1/k2 [A].

In summary, we cannot determine the values of k1 and k2, but we can say that k2 is much larger than k1 and that the concentration of species B is proportional to k1/k2.

Which of the following assumption was not made in rapid equilibrium model?
  • a)
    Flexible nature of enzymes
  • b)
    [S] >> [E]
  • c)
    [E]+[S]⇌[ES]
  • d)
    It is the initial substrate concentration [So] that determines efficacy of an enzyme to mediate a reaction
Correct answer is option 'A'. Can you explain this answer?

The flexible nature of enzymes was not dealt by lock and key model, but the induced fit model. This model dealt with change in shape after enzyme substrate interaction. The following assumptions were made in rapid equilibrium model:
* The substrate concentration will always be higher than enzyme concentration. [E] >> [S]
* An equilibrium state is assumed between reactants and products. [E]+[S]⇌[ES]
* It is the initial substrate concentration [So] that determines the efficacy of an enzyme to mediate a reaction.

State true or false.
Gas phase decomposition of N2O follows first order mechanism for low concentrations of N2O and second order mechanism for high concentrations of N2O.
  • a)
    True
  • b)
    False
Correct answer is option 'A'. Can you explain this answer?

The rate expression is, rN2
At low concentrations of N2O, kNO2 << 1 and the reactions follows second order. At high concentrations of N2O, kNO2 >> 1 and the reaction follows first order.

What is the rate law for acid hydrolysis of an ester such as CH3COOC2H5 in aqueous solution?
  • a)
    k [CH3COOC2H5]
  • b)
    k [CH3COOC2H5] [H2O]
  • c)
    k [CH3COOC2H5]2
  • d)
    k
Correct answer is option 'A'. Can you explain this answer?

Vivek Khatri answered
Acid hydrolysis of ester, CH3COOC2H5 + H2O → CH3COOH + C2H5OH
The order of the reaction may be altered sometimes by taking reactant in excess compared to the other.
The rate law R= k [CH3COOC2H5] [H2O] however water is present in excess.
So, R= k [CH3COOC2H5].

The specific rate constant of decomposition of a compound is represented by:
The activation energy of decomposition for this compound at 300 K is
  • a)
    24 kcal/mol
  • b)
    12 kcal/mol
  • c)
    24 cal/mol
  • d)
    12 cal/mol
Correct answer is option 'A'. Can you explain this answer?

Asf Institute answered
Concept:
The relationship between reaction rate and temperature:
  • According to Arrhenius, the molecules in a reaction must possess a certain amount of energy in order to undergo a chemical reaction.
  • This means that before the reaction occurs, the energy of the molecules must be raised in order to bring any transformation.
  • This energy-rich state is called the activated state of the molecules.
  • The extra energy required to attain this minimum energy has to be supplied externally and is known as the activation energy
  • Reactions with low requirements of activation energy have faster rates.
  • The higher the activation energy, the slower is the reaction rate.
  • The relation between activation energy and temperature and the rate of reaction is given by the Arrhenius equation:

The half–line of a order reaction varies with temperature according to:
  • a)
     In t1/2α1 / T
  • b)
    In t1/ 2 αT
  • c)
    t1/ 2α1 / T2
  • d)
    t1/ 2αT2
Correct answer is option 'A'. Can you explain this answer?

Vedika Singh answered
k = ln2/t1/2 ----(i)
k = Ae(-Ea/RT) ------(ii)
Taking ln on both sides
lnk = ln((ln2)/ t1/2)
lnk = lnA + (-Ea/R) x 1/T
Hence comparing the two equations, we get:
-ln(t1/2) α 1/T
Therefore A is the correct answer.

What is the time taken to complete 75 percent of the reaction if the rate of the first-order reaction is 0.023 min-1?
  • a)
    60.28 minutes
  • b)
    69.28 minutes
  • c)
    50.37 minutes
  • d)
    65.97 minutes
Correct answer is option 'A'. Can you explain this answer?

Given:
- Rate of the first-order reaction = 0.023 min-1
- We need to find the time taken to complete 75 percent of the reaction

Formula:
The integrated rate law for a first-order reaction is given by the equation:
ln([A]t/[A]0) = -kt

Where:
[A]t is the concentration of reactant at time t
[A]0 is the initial concentration of reactant
k is the rate constant
t is the time

Explanation:
To find the time taken to complete 75 percent of the reaction, we need to find the time at which the concentration of the reactant is reduced to 25 percent of its initial concentration.

Let's assume the initial concentration of the reactant is 100 units (for simplicity).

Step 1: Calculate the half-life of the reaction
The half-life (t1/2) of a first-order reaction can be calculated using the equation:
t1/2 = (0.693/k)

Given that k = 0.023 min-1, we can substitute this value into the equation to find the half-life:
t1/2 = (0.693/0.023) = 30.13 minutes

The half-life represents the time it takes for the concentration of the reactant to reduce to half its initial value.

Step 2: Calculate the time taken to reach 25 percent of the initial concentration
Since the half-life is 30.13 minutes, it represents the time taken to reach 50 percent of the initial concentration. We need to find the time taken to reach 25 percent.

To do this, we can multiply the half-life by the natural logarithm of 2 (ln(2)) and divide it by ln(4) to find the time taken to reach 25 percent.

t25% = (t1/2 * ln(2))/ln(4)
t25% = (30.13 * 0.693)/1.386
t25% ≈ 15.07 minutes

Step 3: Calculate the time taken to complete 75 percent of the reaction
Since we are looking for the time taken to complete 75 percent of the reaction, we can subtract the time taken to reach 25 percent from the total time taken to complete the reaction.

t75% = total reaction time - t25%
t75% = 30.13 - 15.07
t75% ≈ 15.06 minutes

Therefore, the time taken to complete 75 percent of the reaction is approximately 15.06 minutes.

Conclusion:
The correct answer is option A) 15.06 minutes.

If the concept of half-life is generalized to quarter–life of a first order chemical reaction, it will e equal to:
  • a)
    In 2/k
  • b)
    In 4/k
  • c)
    4/k
  • d)
    1/4k
Correct answer is option 'B'. Can you explain this answer?

Bijoy Kapoor answered
The half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value. The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction: t1/2 = 0.693/k. Radioactive decay reactions are first-order reactions.

What is the formula to calculate the time taken for the completion of a zero-order reaction?
  • a)
    t100% = [A]0/k
  • b)
    t100% = [A]0/2k
  • c)
    t100% = 2[A]0/k
  • d)
    t100% = [A]0/3k
Correct answer is option 'A'. Can you explain this answer?

Calculation of time taken for the completion of a zero-order reaction:
Explanation:
A zero-order reaction is a reaction where the rate of the reaction is independent of the concentration of the reactant. In this type of reaction, the rate constant (k) remains constant throughout the reaction. The formula to calculate the time taken for the completion of a zero-order reaction is:

t100% = [A]0/k
Where:
t100% = time taken for the completion of the reaction
[A]0 = initial concentration of the reactant
k = rate constant of the reaction
Therefore, option 'A' is the correct formula to calculate the time taken for the completion of a zero-order reaction.

The activation energy for the bimolecular reaction A+BC→AB+C is E0 in the gas phase. If the reaction is carried out in a confined volume of λ3 , the activation energy is expected to:
  • a)
    Remain unchanged.
  • b)
    Increase with decreasing λ
  • c)
    Decrease with decreasing λ
  • d)
    Oscillate with decreasing λ
Correct answer is option 'A'. Can you explain this answer?

Vikram Kapoor answered
The minimum energy requirement that must be met for a chemical reaction to occur is called the activation energy. The activation energy depends on nature of the reacting species or reactants. It does not depends on volume that is it will remain constant irrespective of the volume. 
So, (A) remain unchanged -- is the correct option

The half-life of a given reaction is doubled if the initial concentration of the reactant is doubled. What is the order of the reaction?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?

Half-life (t1⁄2) is the time required for a quantity to reduce to half of its initial value. The half-life of a zero-order reaction is directly proportional to its initial concentration. They are related as:
t1/2 = [R]0/2k.

Chapter doubts & questions for Chemical Kinetics - Topicwise Question Bank for IIT JAM/CSIR/GATE Chemistry 2025 is part of Chemistry exam preparation. The chapters have been prepared according to the Chemistry exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Chemistry 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Chemical Kinetics - Topicwise Question Bank for IIT JAM/CSIR/GATE Chemistry in English & Hindi are available as part of Chemistry exam. Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.

Signup to see your scores go up within 7 days!

Study with 1000+ FREE Docs, Videos & Tests
10M+ students study on EduRev