Chemical Kinetics Questions and Answers Part-11

1.The time for half life period of a certain reaction \[A\rightarrow\]   Products is 1 hour. When the initial concentration of the reactant ‘A’, is 2.0 mol L–1, how much time does it take for its concentration to come from 0.50 to 0.25 mol \[L^{-1}\]  if it is a zero order reaction ?,
a) 4 h
b) 0.5 h
c) 0.25 h
d) 1 h

Answer: c
Explanation:
q101
q101a

2. Consider the reaction :
\[Cl_{2}\left(aq\right)+H_{2}S\left(aq\right)\rightarrow S\left(s\right)+2H^{+}\left(aq\right)+2Cl^{-}\left(aq\right)\]
The rate equation for this reaction is
\[rate = k \left(Cl_{2}\right)\left[H_{2}S\right]\]
Which of these mechanisms is/are consistent with this rate equaion?
A.\[Cl_{2}+H_{2}S\rightarrow H^{+}+Cl^{-}+Cl^{+}+HS^{-}\left(slow\right)\]
\[Cl^{+}+HS^{-}\rightarrow H^{+}+Cl^{-}+S \left(fast\right)\]
B. \[H_{2}S\rightleftharpoons H^{+}+HS^{-}\]     (fast equilibrium)
\[Cl_{2}+HS^{-}\rightarrow 2Cl^{-}+H^{+}+S \left(Slow\right)\]
a) B only
b) Both A and B
c) Neither A nor B
d) A only

Answer: d
Explanation:
q102

3. A reactant (A) froms two products :
\[A \rightarrow B\]  , Activation Energy \[Ea_{1}\]
\[A \rightarrow C\]  , Activation Energy \[Ea_{2}\]
If \[Ea_{2}= 2 Ea_{1}\]   , then \[K_{1}\] and \[K_{2}\] are related as
a) \[K_{2}= K_{1}^{Ea_{1}/RT}\]
b) \[K_{2}= K_{1}^{Ea_{2}/RT}\]
c) \[K_{1}=A K_{2}e^{Ea_{1}/RT}\]
d) \[K_{1}=2K_{2}e^{Ea_{2}/RT}\]

Answer: c
Explanation:
q103

4. The rate of a chemical reaction doubles for every 10°C rise of temperature. If the temperature is raised by 50°C, the rate of the reaction increases by about :
a) 10 times
b) 24 times
c) 32 times
d) 64 times

Answer: c
Explanation:
q104

5.For a first order reaction \[\left(A\right)\rightarrow\]   products the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. The rate of reaction when the concentration of A is 0.01 M is :
a) \[1.73 × 10^{-5} M/min\]
b) \[3.47 × 10^{-4} M/min\]
c) \[3.47 × 10^{-5} M/min\]
d) \[1.73 × 10^{-4} M/min\]

Answer: b
Explanation:
q105

6. 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 J \[K^{-1} mol^{-1}\]   and log 2 = 0.301)
a) 53.6 kJ \[mol^{-1}\]
b) 48.6 kJ \[mol^{-1}\]
c) 58.5 kJ \[mol^{-1}\]
d) 60.5 kJ \[mol^{-1}\]

Answer: a
Explanation:
q106

7. Consider a reaction \[aG+bH\rightarrow\]   Products. When concentration of both the reactants G and H is doubled, the rate increases by eight times. However, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is
a) 0
b) 1
c) 2
d) 3

Answer: d
Explanation:
q107

8. Under the same reaction conditions, initial concentration of 1.386 mol \[dm^{-3}\]  of a substance becomes half in 40 seconds and 20 seconds through first order and zero order kinetics, respectively. Ratio \[\left(K_{1}/K_{0}\right)\]) of the rate constant for first order \[\left(K_{1}\right)\] and zero order \[\left(K_{0}\right)\] of the reaction is
a) 0.5 \[mol^{-1} dm^{3}\]
b) 1.0 mol \[dm^{-3}\]
c) 1.5 mol \[dm^{-3}\]
d) 2.0 \[mol^{-1} dm^{3}\]

Answer: a
Explanation:
q108
q108a

9. For a first order reaction \[A \rightarrow P\]  , the temperature (T) dependent rate constant (k) was found to follow the equation log \[k = – (2000)\frac{1}{T}+6.0\]
The pre-exponential factor A and the activation energy Ea, respectively, are
a) \[1.0 × 10^{6} s^{-1}\]   and 9.2 kJ \[mol^{-1}\]
b) 6.0 \[s^{-1}\]   and 16.6 kJ \[mol^{-1}\]
c) \[1.0 × 10^{6} s^{-1}\]   and 16.6 kJ \[mol^{-1}\]
d) \[1.0 × 10^{6} s^{-1}\]   and 38.3 kJ \[mol^{-1}\]

Answer: d
Explanation:
q109

10. Two substances R and S decompose in solution independently, both following first order kinetics. The rate constant of R is twice that of S. In an experiment, the solution initially contained 0.5 millimoles of R and 0.25 millimoles of S. The molarities of R and S will be equal just at the end of time equal to
a) twice the half life of R
b) twice the half life of S
c) the half life of S
d) the half life of R

Answer: a
Explanation:
q110