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JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics

For a reaction taking place in three steps at same temperature, overall rate constant \(\mathrm{K}=\frac{\mathrm{K}_1 \mathrm{~K}_2}{\mathrm{~K}_3}\). If \(\mathrm{Ea}_1, \mathrm{Ea}_2\) and \(\mathrm{Ea}_3\) are \(40\),\(50\) and \(60 \mathrm{~kJ} / \mathrm{mol}\) respectively, the overall \(\mathrm{Ea}\) is ________ \(\mathrm{kJ} / \mathrm{mol}\).

  1. A \(20\)
  2. B \(10\)
  3. C \(30\)
  4. D \(45\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(30\)

Step-by-step Solution

Detailed explanation

\( \mathrm{K}=\frac{\mathrm{K}_1 \cdot \mathrm{K}_2}{\mathrm{~K}_3}=\frac{\mathrm{A}_1 \cdot \mathrm{A}_2}{\mathrm{~A}_3} \cdot \mathrm{e}^{-\frac{\left(\mathrm{E}_{\mathrm{a}_1}+\mathrm{E}_{\mathrm{a}_2}-\mathrm{E}_{\mathrm{a}_3}\right)}{R T}} \)…
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