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QUESTION: 1

**Only One Option Correct Type**

This section contains 10 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE is correct.

**Q. **

**For the elementary reaction M** →** N, the rate of disappearance of M increases by a factor of 8 upon doubling the concentration of M. The order of the reaction with respect to M is**

**(2014 Adv., Only One Option Correct Type)**

Solution:

For the elementary reaction, M → N

rate becomes 8 times, hence new rate law can be written as

QUESTION: 2

In the reaction , the time taken for 75% reaction of P is twice the time taken for 50% reaction of P. The concentration of Q varies with reaction time as shown in the figure . The over all order of the reaction is

**(2013 Adv., Only One Option Correct Type)**

Solution:

Plan Time of 75% reaction is twice the time taken for 50% reaction if it is first order reaction w.r.t P. From graph, [Q] decreases linearly with time, thus it is zeroth order reaction w.r.t. Q

Order w.r.t. P = a = 1

Order w.r.t. Q = b = 0

Thus, overall order of the reaction = 1 + 0 = 1

*Answer can only contain numeric values

QUESTION: 3

An organic compound undergoes first order decomposition . The time taken for its decomposition to 1/8 and 1/10 of its initial concentration are t 1/8 and t 1/10 respectively. What is the value of (log_{10} 2 = 0.3)

**(2012, Integer Type)**

Solution:

For a first order process,

*Multiple options can be correct

QUESTION: 4

For the first order reaction,

**(2011, One or More than One Options Correct Type)**

Solution:

(a) For a first order reaction, the concentration of reactant remaining after time t is given by [A] = [A]_{0} e^{-kt}

Therefore, concentration of reactant decreases exponentially with time.

(b) Rise in temperature increases rate constant (k) and therefore decreases half-life (t1/2) as

(d) For a first order reaction, if 100 moles of reactant is taken initially, after n half-lives, reactant remaining is given by

(c) Half-life of first order reaction is independent of initial concentration.

QUESTION: 5

Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows Arrhenius equation is

**(2010, Only One Option Correct Type)**

Solution:

According to Arrhenius equation, rate constant increases exponentially with temperature:

k = Ae ^{-Ea/RT}

*Answer can only contain numeric values

QUESTION: 6

The concentration of R in the reaction R → P was measured as a function of time and the following data is obtained :

**Q. **

**The order of the reaction is **

**(2010 , inte ger Type)**

Solution:

Rate remains constant throughout thus, order = zero

QUESTION: 7

For a first order reaction , the temperature (T) dependent rate constant (k) was found to follow the equation

The pre-exponential factor A and the activation energy E_{a}, respectively, are

**(2009, Only One Option Correct Type)**

Solution:

The logarithmic form of Arrhenius equation is

QUESTION: 8

Under the same reaction conditions, in itial 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 of the rate constants for first order (k_{1}) and zero order (k_{0}) of the reaction is

**(2008, Only One Option Correct Type) **

Solution:

For first order reaction,

QUESTION: 9

Consider a reaction products. When concentration of both the reactants G and H is doubled, the rate increases by eight times . Flowever, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is

**(2007, Only One Option Correct Type)**

Solution:

QUESTION: 10

Which one of the following statements is incorrect about order of reaction?

**(2005, Only One Option Correct Type)**

Solution:

Order of a reaction can take any real value, i.e. negative, integer, fraction, etc.

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