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Reactant $R$ gives $n$ different products $(P_{r} : r = 1, 2, 3, \dots, n)$ in $n$ parallel first order reactions. Rate constant for the formation of any produet $P_{r}$ is $r k$ where $r = 1, 2, 3, \dots, n .$ For the decay of $R,$ what is the overall rate constant in terms of $k ?$

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Important Questions on Chemical Kinetics

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

If the rate constant for a first order reaction is

k

, the time

(t)

required for the completion of

99 %

of the reaction is given by

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The rate of a first-order reaction is

0.04 m o l l^{- 1} s^{- 1}

10

second and

0.03 m o l l^{- 1} s^{- 1}

20

seconds after initiation of the reaction. The half-life period of the reaction is:

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

During the nuclear explosion, one of the products is

^{90} S r

with half life of

6.93

years. If

1 μ g

^{90} S r

was absorbed in the bones of a newly born baby in place of

C a,

how much time, in years, is required to reduce it by

90 %

if it is not lost metabolically ____________.

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The rate constant of the reaction

A ⟶ B

0.6 \times 10^{- 3}

mole per liter per second. If the initial concentration of A is 5 M, then the concentration of B after 20 minutes is:

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

Which among the following reactions can be an example of pseudo first order reaction?

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The plot of

t_{1 / 2}

v/s

[R]_{0}

for a reaction is a straight-line parallel to

x

-axis. The unit for the rate constant of this reaction is

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The rate constant for the first order reaction is

60 s^{- 1} .

How much time will it take to reduce the concentration of the reactant to

\frac{1}{16} t h

value?

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The rate constant for a first order reaction is

4.606 \times 10^{- 3} s^{- 1}

. The time required to reduce

2.0 g

of the reactant to

0.2 g

is :

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

For a zero - order reaction with rate constant k, the slope of the plot reactant concentration against time is

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

A first-order reaction has a specific reaction rate

10^{- 2} \sec^{- 1} .

How much time will it take for

20 g

the reactant to reduce to

5 g

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The rate constant of a first order reaction is

231 \times 10^{- 5} s^{- 1}

. How long will

4 g

of this reactant reduce to

2 g

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

When initial concentration of a reactant is doubled in a reaction, its half-life period is not affected. The order of the reaction is:

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

75 %

of a first order reaction was completed in

90

minutes,

60 %

of the same reaction would be completed in approximately (in minutes) _____
(Take:

\log 2 = 0.30; \log 2.5 = 0.40

)

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The decomposition reaction $2 N_{2} O_{5} (g) \overset{∆}{\to} 2 N_{2} O_{4} (g) + O_{2} (g)$ is started in a closed cylinder under the isothermal isochoric condition at an initial pressure of $1 atm$ . After $\frac{Y}{10} \times 10^{3} s$ , the pressure inside the cylinder is found to be $1.45 a t m$ . If the rate constant of the reaction is $5 \times 10^{- 4} s^{- 1}$ , assuming ideal gas behaviour, the value of $Y$ is(nearest integer)

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

A flask contains a mixture of compounds

A

and

B

. Both compounds decompose by first-order kinetics. The half-lives for

A

and

B

are

300 s

and

180 s

, respectively. If the concentrations of

A

and

B

are equal initially, the time required for the concentration of A to be four times that of

B

(in s) is :

(Use \ln 2 = 0.693)

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

Under the same reaction conditions, initial concentration of

1.386 mol {dm}^{- 3}

of a substance becomes half in

40 s

and

20 s

through first order and zero order kinetics, respectively. Ratio

(\frac{k_{1}}{k_{0}})

of the rate of constants for first order

(k_{1})

and zero order

(k_{0})

of the reaction is

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The half-life for a zero order reaction having

0.02 M

initial concentration of reactant is

100 s

. The rate constant (in

mol L^{- 1} s^{- 1}

) for the reaction is

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The half-life period of a first-order reaction is

15 minutes

. The amount of substance left after one hour will be

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The rate constant for a first order reaction is

7 .0 \times 10^{- 4} s^{- 1} .

If initial concentration of the reactant is

0.080 M

, what is the half-life of the reaction?

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The reaction

2 N_{2} O_{5} (g) \to 4 N O_{2} (g) + O_{2} (g)

follows first order kinetics. The pressure of a vessel containing only

N_{2} O_{5}

was found to increase from 50 mm Hg to 87.5 mm Hg in 30 min. The pressure exerted by the gases after 60 min. Will be (Assume temperature remains constant) :

Reactant R gives n different products Pr:r=1,2,3,⋯,n in n parallel first order reactions. Rate constant for the formation of any produet Pr is rk where r=1,2,3,⋯,n. For the decay of R, what is the overall rate constant in terms of k?

Important Questions on Chemical Kinetics

Learn and Prepare for any exam you want !

Reactant $R$ gives $n$ different products $(P_{r} : r = 1, 2, 3, \dots, n)$ in $n$ parallel first order reactions. Rate constant for the formation of any produet $P_{r}$ is $r k$ where $r = 1, 2, 3, \dots, n .$ For the decay of $R,$ what is the overall rate constant in terms of $k ?$