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CUET · CHEMISTRY · PYQ PAPER 2023

The rate constants of a reaction at 200 K and 300 K are \(0.02 s^{-1}\) and \(0.04 s^{-1}\). The activation energy ( \(E _{ a }\) ) for this reaction will be :

  1. A \(2.9 kJ mol ^{-1}\)
  2. B \(3.4 kJ mol ^{-1}\)
  3. C \(34.5 kJ mol ^{-1}\)
  4. D \(344 kJ mol ^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3.4 kJ mol ^{-1}\)

Step-by-step Solution

Detailed explanation

\(\ln\left(\frac{k_2}{k_1}\right) = \frac{E_a}{R}\left(\frac{1}{T_1} - \frac{1}{T_2}\right)\) \(\ln\left(\frac{0.04}{0.02}\right) = \frac{E_a}{8.314 \text{ J mol}^{-1} \text{ K}^{-1}}\left(\frac{1}{200 \text{ K}} - \frac{1}{300 \text{ K}}\right)\)…
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