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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?

Pie Academy answered
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.

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

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
 

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 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 

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

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 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 fo llowing plots represent(s) the Arrhenius rate equation, k=Ae–Ea/RT with and
  • a)
    I
  • b)
    II
  • c)
    III
  • d)
    I and II 
Correct answer is option 'D'. Can you explain this answer?

Aritra Barman answered
I think the answer should be A. Although both plots I and II are correct, but if you go with the values then the straight line plot II doesn't agree with the activation energy and frequency factor values(verify it with y intercept = lnA and slope = -Ea/R).

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

What is the rate of simple reaction 2NO + O2 → 2 NO2 ; when the volume of the reaction vessel is doubled?
  • a)
    Will grow 8 times of its initial rate
  • b)
    Will grow to 4 times of its initial rate
  • c)
    Reduce to 1/8 times of its initial rate
  • d)
    Will reduce to 1/4 times of its initial rate
Correct answer is option 'C'. Can you explain this answer?

Neha Choudhury answered
Answer:
From Law of mass action, we know Rate of reaction
R1=k[NO]^2[O2] where k is the rate constant.
When the volume of the vessel is doubled, the concentration of the reactants will be halved.
New rate R2= k(1/2[NO]^2)(1/2[O2}= 1/8(R1)
By doubling the volume, the rate of reaction will become 1/8th of the previous rate.

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.

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.

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.

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.

For the first order isomerization of an organic compound at 1300C, the activation energy is 108.4 KJ mol–1 and the rate constant is 9.12 x 10–4 s–1. The standard entropy of activation for this reaction is:
  • a)
    45.2 JK–1 mol–1
  • b)
    45.2 KJ K–1mol–1
  • c)
    –45.2 JK–1 mol–1 
  • d)
    –45.2 KJ K–1mol–1
Correct answer is option 'D'. Can you explain this answer?

Edurev.iitjam answered
For the first order isomerization of an organic compoundat 130°c,the activation energy is 108.4KJ mol-1 and the rate constant is 9.12×10^-4s-1. calculate the standard entropy of activation for this reaction. I know the answer is
- 45.2 JK–1 mol–1 .

The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?
  • a)
    108.3s-1
  • b)
    207.9s-1
  • c)
    248.2s-1
  • d)
    164.8s-1
Correct answer is option 'B'. Can you explain this answer?

Given,
K = 0.01s-1
t1/2 = 0.693/0.01
t1/2 = 69.3s
[R] = [R]0/2n
2n = [R]0/[R]
2n = 2.4/0.3
2n = 8
n = 3 (number of half-lives)
For 1 half-life t1/2 = 69.3s
For 3 half-life 3t1/2 = 3 x 69.3s = 207.9s.

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.

The rate constant of a reaction is k=3.28 × 10-4 s-1. Find the order of the reaction.
  • a)
    Zero order
  • b)
    First order
  • c)
    Second order
  • d)
    Third order
Correct answer is option 'B'. Can you explain this answer?

Asf Institute answered
Given,
k= 3.28 × 10-4 s-1
The general formula to find the units for rate constant, k=(mol L-1)1-ns-1 where n is the order of the reaction. The value of n must be 1 for (mol L-1)1-ns-1 to become s-1. Therefore, k=3.28 × 10-4s-1 represents a first order reaction.

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