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Chemistry · PYQ NEET UG 2019(1)

हिन्दी

If the rate constant for a first order reaction is \( \text{k} \), the time (\( \text{t} \)) required for the completion of \( 99\% \) of the reaction is given by _________.

  1. \( \text{t} = 6.909/\text{k} \)
  2. \( \text{t} = 4.606/\text{k} \)
  3. \( \text{t} = 2.303/\text{k} \)
  4. \( \text{t} = 0.693/\text{k} \)

Correct answer · Option 2

\( \text{t} = 4.606/\text{k} \)

Explanation

For a first order reaction, \( \text{t} = \frac{2.303}{\text{k}}\log\frac{[\text{A}]_0}{[\text{A}]_{\text{t}}} = \frac{2.303}{\text{k}}\log\frac{100}{1} = \frac{2.303 \times 2}{\text{k}} = \frac{4.606}{\text{k}} \).
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