For a reaction taking place in three steps at same temperature, overall rate constant K = K _ 1 K _ 2 K _ 3 . If Ea _ 1 , Ea _ 2 and Ea _ 3 are 40, 50 and 60kJ / mol respectively, the overall Ea is _________ kJ / mol .

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According to Arrhenius concept, K = Ae ^ - E _ a / RT Given that, K _ = ( K _ 1 . K _ 2 ) / K _ 3 Using Arrhenius equation we can expand above equation as e ^ - E _ a ( net ) / RT = e ^ - E _ a1 / RT × e ^ - E _ a2 / RT e ^ - E _ a3 / RT Hence, E _ a ( net ) = E _ a1 + E _ a2 - E _ a3 ⇒ E _ a ( net ) = 40 + 50 - 60 = 30kJ / mol

For a reaction taking place in three steps at same temperature,...

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