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  •  A polymerisation reaction is carried out at 2000 K and the same reaction is carried out at 4000 K with catalyst. The catalyst increases the potential barrier by&

 A polymerisation reaction is carried out at 2000 K and the same reaction is carried out at 4000 K with catalyst. The catalyst increases the potential barrier by 20 kJ but the rate of the reaction remains same. The activation energy of the reaction is

Option: 1

10 kJ


Option: 2

20 kJ


Option: 3

30 kJ


Option: 4

40 kJ


Answers (1)

best_answer

From Arrhenius equation,  \mathrm{k=A e^{-\frac{E_a}{R T}}} , as the rates are equal, it means the value of rate constants, \mathrm{k} , also remains same at two different temperatures. Hence,

\mathrm{ k=A e^{-E a / R \times 2000}=A e^{-\left(\frac{E a+20}{R \times 4000}\right)} }


\mathrm{ \frac{E a}{R \times 2000}=\frac{(E a+20)}{R \times 4000} }


\mathrm{ 2 E a=E a+20 }
\mathrm{ E a=20 \mathrm{~kJ} }.

Posted by

avinash.dongre

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