For the reaction, 2 A + B → products, when the concentration of A and B both were doubled, the rate of the reaction increased from 0.3 m o l L - 1 s - 1 to 2.4 m o l L - 1 s - 1 . When the concentration of A alone is doubled, the rate increased from 0.3 m o l L - 1 s - 1 to 0.6 m o l L - 1 s - 1 . Which one of the following statements is correct?

Order of the reaction with respect to B is 2

Total order of the reaction is 4

Order of the reaction with respect to A is 2

Order of the reaction with respect to B is 1

For the reaction, A + B → P = - d [ A ] d t = - d [ B ] d t = k [ A ] [ B ] and k t = 1 [ A ] 0 - [ B ] 0 ln [ A ] [ B ] 0 [ B ] [ A ] 0 when, [ A ] 0 ≠ [ B ] 0 If, [ A ] 0 = [ B ] 0 then the integrated rate law will he

1 [ A ] = 1 [ A ] 0 + k t or 1 [ B ] = 1 [ B ] 0 + k t

EASY

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Identify a concentration verses time graph for a second order reaction with single reactant.

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Important Questions on Chemical Kinetics (AHL)

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

For a reaction, consider the plot of $l n k$ versus $1 / T$ given in the figure. If the rate constant of this reaction at $400 K$ is $10^{- 5} s^{- 1}$ , then the rate constant at $500 K$ is:

Question Image

EASY

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

Decomposition of

X

exhibits a rate constant of

0 .05 μg / year

. How many years are required for the decomposition of

5 μg

X

into

2 .5 μg

HARD

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

For an elementary chemical reaction, $A_{2} ⇄_{k_{- 1}}^{k_{1}} 2 A$ , the expression for $\frac{d [A]}{dt}$ is:

EASY

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

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:

HARD

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

According to the Arrhenius equation,

HARD

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

Consider the following reversible reaction:

A (g) + B (g) ⇌ AB (g)

The activation energy of the backward reaction exceeds that of the forward reaction by

2 RT

(in

{mol}^{- 1}

). If the pre-exponential factor of the forward reaction is

4

times that of the reverse reaction, the absolute value of

∆ G^{⊝} (in J {mol}^{- 1})

for the reaction at

300 K

is ____.

(Given;

\ln (2) = 0 .7, = 2500 J {mol}^{- 1} at 300 K

and

G

is the Gibbs energy)

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

For the reaction,

2 A + B \to

products, when the concentration of

A

and

B

both were doubled, the rate of the reaction increased from

0.3 m o l L^{- 1} s^{- 1}

2.4 m o l L^{- 1} s^{- 1} .

When the concentration of

A

alone is doubled, the rate increased from

0.3 m o l L^{- 1} s^{- 1}

0.6 m o l L^{- 1} s^{- 1} .

Which one of the following statements is correct?

EASY

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

For the equilibrium,

A (g) ⇌ B (g), ∆ H is - 40 kJ / mol

. If the ratio of the activation energies of the forward

(E_{f})

and reverse

(E_{b})

reactions is

\frac{2}{3}

then:

EASY

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

The addition of a catalyst during a chemical reaction alters which of the following quantities?

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

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:

EASY

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

The rate of a reaction doubles when its temperature changes from

300 K to 310 K

. Activation energy of such a reaction will be:

(R = {8.314 JK}^{-1} {mol}^{-1} and log 2 = 0.301)

EASY

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

For the reaction,

$A + B \to P = - \frac{d [A]}{d t} = - \frac{d [B]}{d t} = k [A] [B]$ and

$k t = \frac{1}{[A]_{0} - [B]_{0}} \ln \frac{[A] [B]_{0}}{[B] [A]_{0}}$ when, $[A]_{0} \neq [B]_{0}$
If, $[A]_{0} = [B]_{0}$ then the integrated rate law will he

HARD

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

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) :

HARD

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

For a first order reaction

A (g) \to 2 B (g) + C (g)

at constant volume and 300 K, the total pressure at the beginning

(t = 0)

and at time are

p_{0} and p_{t}

, respectively. Initially, only A is present with concentration

{[A]}_{0}

, and

t_{\frac{1}{3}}

is the time required for the partial pressure of A to reach

1 / 3^{rd}

of its initial value. The correct option(s) is (are)
(Assume that all these gases behave as ideal gases)

EASY

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

A + 2 B \to C

, the rate equation for the reaction is given as

Rate

= k [A] [B]

If the concentration of A is kept the same but that of B is doubled what will happen to the rate itself?

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

A reaction has an activation energy of

209 k J m o l^{- 1}

. The rate increases

10

-fold when the temperature is increased from

27^{o} C

X^{o} C

. The temperature

X

is closest to

[Gas constant,

R = 8.314 J m o l^{- 1} K^{- 1}

]

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

For the non-stoichiometry reaction,

2 A + B \to C + D

, the following kinetic data were obtained in three separate experiments, all at

298 K

Initial Concentration (A)	Initial Concentration (B)	Initial rate of formation of C $({mol L}^{-} S^{-})$
$0.1 M$	$0.1 M$	$1.2 \times 1 0^{- 3}$
$0.1 M$	$0.2 M$	$1.2 \times 1 0^{- 3}$
$0.2 M$	$0.1 M$	$2.4 \times 1 0^{- 3}$

The rate law for the formation of

C

HARD

Chemistry>Physical Chemistry>Chemical Kinetics (AHL)>Rate Equation

Consider the given plots for a reaction obeying Arrhenius equation $(0 ° C < T < 300 ° C) :$ ( $K$ and $E_{a}$ are rate constant and activation energy, respectively )

(I)