Chemical Kinetics - Result Question 63

####63. The rate constant for an isomerisation reaction, $A \rightarrow B$ is $4.5 \times 10^{-3} min$. If the initial concentration of $A$ is $1 M$, calculate the rate of the reaction after $1 h$.

(1999, 4M)

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Answer:

Correct Answer: 63. $\left(5.2 \times 10^{-3} min^{-1}\right)$

Solution:

  1. $k t=\ln \frac{[A] _0}{[A]}$

$$ \begin{array}{rlrl} \Rightarrow & 4.5 \times 10^{-3} \times 60 & =\ln \frac{1}{[A]} \Rightarrow[A]=0.76 M \ \Rightarrow & & \text { Rate }=k[A] & =4.5 \times 10^{-3} \times 0.76 \ & = & 3.42 \times 10^{-3} mol L^{-1} min^{-1} \end{array} $$



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