r =k[A] for a reaction, 50% of A is decomposed in 120 minutes. The time taken for 90% decomposition of A is ______ minutes.
Correct Answer: 399
Solution and Explanation
For a first-order reaction:
\[ t_{1/2} = 120 \, \text{min} \]For 90% completion:
\[ t = \frac{2.303}{k} \log \left( \frac{a}{a - x} \right) \] \[ t = \frac{2.303 \times 120}{0.693} \log \left( \frac{100}{10} \right) \] \[ t = 399 \, \text{min}. \]Top Questions on Chemical Kinetics
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