Chemical Kinetics Questions and Answers Part-7

1. The reaction \[A\rightarrow B\]   follows first order kinetics. The time taken for 0.8 mole of A to produce 0.6 mole of B is 1 hour. What is the time taken for conversion of 0.9 mole of A to produce 0.675 mole of B?
a) 0.5 hour
b) 0.25 hour
c) 2 hour
d) 1 hour

Answer: d
Explanation:
q61

2. According to the adsorption theory of catalysis, the speed of the reaction increases because
a) in the process of adsorption, the activation energy of the molecules becomes large
b) adsorption produces heat which increases the speed of the reaction
c) adsorption lowers the activation energy of the reaction
d) the concentration of product molecules at the active centres of the catalyst becomes high due to adsorption

Answer: c
Explanation: Adsorption lowers the activation energy

3. The reaction of hydrogen and iodine monochloride is given as:
\[H_{2}\left(g\right)+2ICl\left(g\right)\rightarrow 2HCl\left(g\right)+I_{2}\left(g\right)\]
The reaction is of first order with respect to \[H_{2}\left(g\right)\]   and \[ICl\left(g\right),\]  following mechanisms were proposed.
Mechanism A:
\[H_{2}\left(g\right)+2ICl\left(g\right)\rightarrow 2HCl\left(g\right)+I_{2}\left(g\right)\]
Mechanism B:
\[H_{2}\left(g\right)+ICl\left(g\right)\rightarrow HI\left(g\right);slow\]
\[HI\left(g\right)+ICl\left(g\right)\rightarrow HCl\left(g\right)+I_{2}\left(g\right);fast\]
Which of the above mechanism(s) can be consistent with the given information about the reaction?
a) A and B both
b) neither A nor B
c) A only
d) b only

Answer: d
Explanation:
q63

4. In a first-order reaction \[A\rightarrow B\]   , if k is rate constant and inital concentration of the reactant A is 0.5 M, then the half-life is
a) \[\frac{log2}{K}\]
b) \[\frac{log2}{K\sqrt{0.5}}\]
c) \[\frac{ln 2}{K}\]
d) \[\frac{0.693}{0.5K}\]

Answer: c
Explanation:
q64

5. If 60% of a first order reaction was completed in 60 minutes, 50% of the same reaction would be completed in aproximately
a) 45 minutes
b) 60 minutes
c) 40 minutes
d) 50 minutes

Answer: a
Explanation:
q65

6. The rate constants \[K_{1}\] and \[K_{2}\] for two different reactions are \[10^{16}.e^{-2000/t}\]   and \[10^{15}.e^{-1000/t}\]   , respectively. The temperature at which \[K_{1} = K_{2}\]   is :
a) 1000 K
b) \[\frac{2000}{2.303}K\]
c) 2000 K
d) \[\frac{1000}{2.303}K\]

Answer: d
Explanation:
q66
q66a

7. For the reaction, \[N_{2}+3H_{2}\rightarrow 2NH_{3}\]
\[\frac{d\left[NH_{3}\right]}{dt}=2 × 10^{-4} mol L^{-1} s^{-1},\]
the value of \[\frac{-d\left[H_{2}\right]}{dt}\]    would be :
a) \[4 × 10^{-4} mol L^{-1} s^{-1}\]
b) \[6 × 10^{-4} mol L^{-1} s^{-1}\]
c) \[1 × 10^{-4} mol L^{-1} s^{-1}\]
d) \[3 × 10^{-4} mol L^{-1} s^{-1}\]

Answer: d
Explanation:
q67

8. In the reaction
\[BrO_3^-\left(aq\right)+5Br^{-}\left(aq\right)+6H^{+}\left(aq\right)\rightarrow 3Br_{2}\left(l\right)+3H_{2}O\left(l\right)\]
The rate of appearance of bromine (Br2) is related to rate of disappearance of bromide ions as following
a) \[\frac{d\left[Br_{2}\right]}{dt}=-\frac{5}{3}\frac{d\left[Br^{-}\right]}{dt}\]
b) \[\frac{d\left[Br_{2}\right]}{dt}=\frac{5}{3}\frac{d\left[Br^{-}\right]}{dt}\]
c) \[\frac{d\left[Br_{2}\right]}{dt}=\frac{3}{5}\frac{d\left[Br^{-}\right]}{dt}\]
d) \[\frac{d\left[Br_{2}\right]}{dt}=-\frac{3}{5}\frac{d\left[Br^{-}\right]}{dt}\]

Answer: d
Explanation:
q68

9.Half life period of a first-order reaction is 1386 seconds. The specific rate constant of the reaction is :
a) \[0.5 × 10^{-2} S^{-1}\]
b) \[0.5 × 10^{-3} S^{-1}\]
c) \[5.0 × 10^{-2} S^{-1}\]
d) \[5.0 × 10^{-3} S^{-1}\]

Answer: b
Explanation:
q69

10. For the reaction \[A+B\rightarrow\]  products, it is observed that:
(1) On doubling the initial concentration of A only, the rate of reaction is also doubled and
(2) On doubling the initial concentrations of both A and B, there is a change by a factor of 8 in the rate of the reaction.
The rate of this reaction is given by
a) \[rate = k \left[A\right] \left[B\right]^{2}\]
b) \[rate = k \left[A\right]^{2} \left[B\right]^{2}\]
c) \[rate = k \left[A\right] \left[B\right]\]
d) \[rate = k \left[A\right]^{2} \left[B\right]\]

Answer: a
Explanation:
q70