Chemical Kinetics - Result Question 31

31. (A) follows first order reaction, $(A) \rightarrow$ product. Concentration of $A$, changes from $0.1$ $ M$ to $0.025$ $ M$ in $40 $ $min$. Find the rate of reaction of $A$ when concentration of $A$ is $0.01$ $ M$.

(2004, 1M)

(a) $3.47 \times 10^{-4} $M $min^{-1}$

(b) $3.47 \times 10^{-5} $M $min^{-1}$

(c) $1.73 \times 10^{-4} $ M $ min^{-1}$

(d) $1.73 \times 10^{-5} $ M $ min^{-1}$

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Answer:

Correct Answer: 31. (a)

Solution:

  1. For first order reaction,

$k=\dfrac{2.303}{t} \log \dfrac{a}{a-x}=\dfrac{2.303}{40} \log \dfrac{0.1}{0.025}=3.46 \times 10^{-2}$

Rate $=[k] A=3.46 \times 10^{-2} \times 0.01=3.46 \times 10^{-4}$



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