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Test: Zero Order & First Order Reactions - NEET MCQ


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30 Questions MCQ Test Chemistry Class 12 - Test: Zero Order & First Order Reactions

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Test: Zero Order & First Order Reactions - Question 1

Direction (Q. Nos. 1-21) This section contains 21 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE is correct.

Q. For zeroth order reaction,

A → B

[A]0 = 0.01 M, [A]t = 0.008Matter 10 min.

Thus, half-life is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 1

For zeroth order reaction

When reaction is 50% completed. 

Test: Zero Order & First Order Reactions - Question 2

A Certain Zeroth Order reaction has k = 0.025 Ms-1 for the disappearance of A. What will be the concentration of A after 15s, if the intial concentration is 0.50 M?

Detailed Solution for Test: Zero Order & First Order Reactions - Question 2

x(product) formed after 15 s
= 0.025 Ms-1 x 15s
= 0.375 M
Then, reactant left
= 0.500 - 0.375
= 0.125 M

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Test: Zero Order & First Order Reactions - Question 3

For Zeroth Order Reaction, variation of x with time is shown as 

Q. At initial concenration of the reactant as 17.32 min dm-1 , half - life period is 

Detailed Solution for Test: Zero Order & First Order Reactions - Question 3

Test: Zero Order & First Order Reactions - Question 4

For the first order reaction, rate constant k is given by

kt = logC- log Ct

where, C0 is the intial concenration and Ct is the concentration at time t. Graph between log Ct and time t is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 4



This represents a straight line

Test: Zero Order & First Order Reactions - Question 5

In a first order reaction, the concentration of the reactant decreases from 0.8 M to 0.4 M is 15 min. The time taken for the concentration to change from 0.1 M to 0.025 M is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 5

For first order reaction,

time = 15 min to change its concentration from 0.8 m to 0.4 m Thus, 50% reaction.
Thus,  t50 = 15 min



Test: Zero Order & First Order Reactions - Question 6

For the First order reaction, concentration of the reactant after two averagelives is reduced to

Detailed Solution for Test: Zero Order & First Order Reactions - Question 6

For first order reaction,




Test: Zero Order & First Order Reactions - Question 7

The half-life period of a first order chemical reaction is 6.93 min. The time required for the completion of 99% of the chemical reaction will be (log2 = 0.3010)

[AIEEE 2009]

Detailed Solution for Test: Zero Order & First Order Reactions - Question 7



∴  

when, a = 100,

(a-x) = 100-99 = 1, t = t99

Test: Zero Order & First Order Reactions - Question 8

For the first order reaction,

A → Product

Q. The concentration of A changes from 0.1 M to 0.025 M in 40 min. The rate of the reaction when the concentration of A is 0.01 M is

[AIEEE 2012]

Detailed Solution for Test: Zero Order & First Order Reactions - Question 8

For the first order kinetic, 



Test: Zero Order & First Order Reactions - Question 9

For the reaction,

A → Products,      

Concentration of A at different time intervals are given :

At 20 min, rate will be

Detailed Solution for Test: Zero Order & First Order Reactions - Question 9





Test: Zero Order & First Order Reactions - Question 10

For the first order reaction with, C0 as the initial concentration and C at time  t, (C0 - C) =

Detailed Solution for Test: Zero Order & First Order Reactions - Question 10




Test: Zero Order & First Order Reactions - Question 11

The radioisotope N-13 which has a half-life of 10 min is used to image organs in the body. If the injected sample has an activity of 40 μCi (microcurie), what is the activity after 30 min?

Detailed Solution for Test: Zero Order & First Order Reactions - Question 11

Disintegration follows first-order kinetics
t = total time = 30 min
t 50 = half-life = 10 min


Test: Zero Order & First Order Reactions - Question 12

The following data were obtained during the first order decomposition of

2A(g) → B(g) + C(s)

at constant volume and at a particular temperature : 

Thus, rate constant is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 12







Test: Zero Order & First Order Reactions - Question 13

A G .M. Counter is used to study the process of first order of radioactive disintegration. In the absence of radioactive substance A, it counts 3 dps (disintegration per second). When A is placed in G.M Counter it records 23 dps at the start and 13 dps after 10 min. It records x dps after next 10 min. Half-life period of A is y min. Thus, x and y are

Detailed Solution for Test: Zero Order & First Order Reactions - Question 13

When there is no radioactive substance in G.M. Counter, it records = 3 dps. Thus, it is the zero-error in the counter and in each it is added. Thus, initial counts = 23 - 3 = 20 dps.
Attimef (after 10min) = 13- 3 = 10dps
Thus, half-life is 10 min = y
Hence, after next 10 min, dps = 5
Hence, reading in G.M. Counter = 5 + 3 = 8 dps = x

Test: Zero Order & First Order Reactions - Question 14

Inversion of sucrose (C12H22O11) is a first order reaction and is studied by measuring angle of rotation at different interval of time

r0 = angle of rotation at the start, rt = angle of rotation at time t
r = angle of rotation at the complete reaction

There is 50% inversion, when

Detailed Solution for Test: Zero Order & First Order Reactions - Question 14

r0 = rotation at the start, rt = rotation at time t
r = rotation at the end then (r - r0) = a and (r - rt) = (a - x)

When 50% inversion has taken place


∴  2 (a - x) = a
2(r - rt) = r - r0
2r - 2rt = r - r0
∴  r0 = (2rt - r)

Test: Zero Order & First Order Reactions - Question 15

Following radioactive disintegration follows first order kinetics :

Starting with 1 mol of A in a 1L flask at 300 K, pressure set up after two half-lifes is approximately

Detailed Solution for Test: Zero Order & First Order Reactions - Question 15

When B is formed from A, two a-particies (He) are formed.
A taken initially = 1 mol

This helium remains in closed vessel.
Thus, pressure set up is due to helium.

Test: Zero Order & First Order Reactions - Question 16

For the first order reaction Tav (average life), T50 (half-life) and T75 (time 75% reaction) are in the ratio of

Detailed Solution for Test: Zero Order & First Order Reactions - Question 16




Test: Zero Order & First Order Reactions - Question 17

For the first order reaction,


Following equations are given :



Select the correct equations.

Detailed Solution for Test: Zero Order & First Order Reactions - Question 17

For the first order reaction,










∴ (a-x) = a (1/2)y    (Equation II)

Test: Zero Order & First Order Reactions - Question 18

Rate constant of a first order reaction (A → B) is 0.0693 min-1. If initial concentration is 1.0 M, rate after 30 min is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 18

C0 = 1 M



∴  

Test: Zero Order & First Order Reactions - Question 19

Following reaction is pseudo-unimolecular w.r.t. C6H5N2CI (A)

50 mL of 1M benzene diazonium chloride (A) is taken. After 1 h, 1.226 L of N2 gas at 1 atm and 300 K is obtained. Thus, half-life of the reaction is (log 250 = 2.40) 

Detailed Solution for Test: Zero Order & First Order Reactions - Question 19






Half-life(t50)= 
 

Test: Zero Order & First Order Reactions - Question 20

Minimum half-life of an isotope needed so that not more than 0.1 % of the nuclei undergo decay during a 3.0 h laboratory experiment is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 20



Test: Zero Order & First Order Reactions - Question 21

Naturally occurring potassium consists of 0.01% at 40 K which has a half-life of 1.28 x 109 yr. Activity of 1.00 g sample of KCl is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 21


Number of 40 K atoms in 1g KCI


Test: Zero Order & First Order Reactions - Question 22

Direction (Q. Nos. 22-27) This section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d).

Passage l

Isotope of oxygen with mass number less than 16 undergoes β+ -emission. Assume an equimolar mixture of 14O and 15O, Also t50 (14O) = 71s, t50 (15O) = 124s.

Q. Ratio of rate constants of 14O to 15O is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 22





Test: Zero Order & First Order Reactions - Question 23

Passage l

Isotope of oxygen with mass number less than 16 undergoes β+ -emission. Assume an equimolar mixture of 14O and 15O, Also t50 (14O) = 71s, t50 (15O) = 124s.

Q. Ratio of 14O to 15O left after 1.00 h is

Detailed Solution for Test: Zero Order & First Order Reactions - Question 23





Test: Zero Order & First Order Reactions - Question 24

Passage II

Consider acid-hydrolysis of ester which is first order reaction.

CH3COOC2H5 + H2O  CH3COOH + C2H5OH

Kinetics is studied by titration of the acid with NaOH at a given time.
V0 = Volume of NaOH at start, Vt = Volume of NaOH at time t, V = Volume of NaOH at the end of the complete hydrolysis.

Q. 
Rate constant k is given by

Detailed Solution for Test: Zero Order & First Order Reactions - Question 24



At time t = 0, volume of NaOH is due to H+ (catalyst) = V0 and remains constant
at time t, volume of NaOH is due to H+ and CH3COOH = Vt


At infinite time (complete reaction), volume of NaOH is due to total CH3COOH (or ester) and H+ = a + V0





If ester is 50% hydrolysed, 



Test: Zero Order & First Order Reactions - Question 25

Passage II

Consider acid-hydrolysis of ester which is first order reaction.

CH3COOC2H5 + H2O  CH3COOH + C2H5OH

Kinetics is studied by titration of the acid with NaOH at a given time.
V0 = Volume of NaOH at start, Vt = Volume of NaOH at time t, V = Volume of NaOH at the end of the complete hydrolysis.

Q.

If ester is 50% hydrolysed, then 

Detailed Solution for Test: Zero Order & First Order Reactions - Question 25



At time t = 0, volume of NaOH is due to H+ (catalyst) = V0 and remains constant
at time t, volume of NaOH is due to H+ and CH3COOH = Vt


At infinite time (complete reaction), volume of NaOH is due to total CH3COOH (or ester) and H+ = a + V0





If ester is 50% hydrolysed, 



Test: Zero Order & First Order Reactions - Question 26

Passage III

I, II and III are three vessels of equal volumes containing molecules of A as shown and in each A decomposes into products.

Q. 
Initial rate of decomposition of A will be in order in these three vessels as

Detailed Solution for Test: Zero Order & First Order Reactions - Question 26


Thus, ratio fo rates = 6 : 1 2 : 9 = 1 : 2 : 1 5
For first order reaction T50 is independent of initial concentration.
Thus, T50 will be equal to 1 :1 :1.

Test: Zero Order & First Order Reactions - Question 27

Passage III

I, II and III are three vessels of equal volumes containing molecules of A as shown and in each A decomposes into products.

Q. 
Time of 50% decomposition is in order

Detailed Solution for Test: Zero Order & First Order Reactions - Question 27


Thus, ratio fo rates = 6 : 1 2 : 9 = 1 : 2 : 1 5
For first order reaction T50 is independent of initial concentration.
Thus, T50 will be equal to 1 :1 :1.

*Answer can only contain numeric values
Test: Zero Order & First Order Reactions - Question 28

Direction (Q. Nos. 28-30) This section contains 3 questions. When worked out will result in one integer from 0 to 9 (both inclusive).This section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive)

Q. A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, it will be safer to enter the room after 10n days. What is the value of n?


Detailed Solution for Test: Zero Order & First Order Reactions - Question 28

Permissible element = 10 times the initial value






*Answer can only contain numeric values
Test: Zero Order & First Order Reactions - Question 29

For the first order reaction, variation of log10(a - x)vs time (t) is shown below.

Q. 
Its half-life period is logx. What is the value of x?


Detailed Solution for Test: Zero Order & First Order Reactions - Question 29





*Answer can only contain numeric values
Test: Zero Order & First Order Reactions - Question 30

For the first order reaction,

Q. 
If OA = 1.3010 then reactant left after 0.6021 min i s .......unit.


Detailed Solution for Test: Zero Order & First Order Reactions - Question 30

 At time t = 0, x = 0

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