Chemical Kinetics

Question
CBSEENCH12011488

For the chemical reaction,

2O3 ⇌ 3O2

The reaction proceeds as follows

O3 ⇌ O2 + O

O + O3 → 2O2 (slow)

The rate law expression will be

  • r = k' [O3]2

  • r = k' [O3]2[O2]-1

  • r = k'[O3][O2]

  • unpredictable

Solution

B.

r = k' [O3]2[O2]-1

As slowest step is the rate determining step. Hence, from slow reaction r = K[O][O3] ... (i)

From the fast reaction, 

Kc = [O2][O][O3][O] = Kc. [O3][O2]. i.er = Kc[O3][O2][O3] Kc.[O3]2 [O2]-1Therefore rate (r) = K'[O3]2.[O2]-1  (K'  = Kc.K)

Question
CBSEENCH11008509

In the following graph

WiredFaculty

The slope of line AB give the information of the

  • value of Ea2.303

  • Value of 2.303Ea

  • value of -Ea2.303

  • value of -Ea2.303 RT

Solution

C.

value of -Ea2.303

 In K = In A - EaRTIn K= In A - EaR.1TThus, log10 K = log A - Ea2.303 RTlog K = log A - Ea2.303.1T

Question
CBSEENCH12011469

The correct difference between first and second order reactions is that

  • The rate of a first-order reaction does not depend on reactant concentrations; the rate of a second-order reaction does depend on reactant concentrations

  • The half-life of a first-order reaction does not depend on [A]0; the half-life of a second-order reaction does depend on [A]0

  • The rate of a first-order reaction does depend on reactant concentrations; the rate of a second-order reaction does not depend on reactant concentrations

  • A first-order reaction can catalyzed; a second-order reaction cannot be catalyzed

Solution

B.

The half-life of a first-order reaction does not depend on [A]0; the half-life of a second-order reaction does depend on [A]0

The first-order reaction is given by, t1/2 = 0.693k which is independent of the initial concentration of reactant.

Second order reaction, t1/2 = 1k[A0], which depends on the initial concentration of reactant.

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Question
CBSEENCH12011470

When initial concentration of the reactant is doubled, the half-life period of a zero order reaction

  • Is halved

  • Is doubled

  • Remains unchanged

  • Is tripled

Solution

B.

Is doubled

t(1/2)zero = [A]02k If [A]0 = doubled, t1/2 =doubled

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