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A bydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of a catalyst at the same rate, the temperature required is 400 K. Calculate the activation energy of the reaction if the catalyst lowers the activation energy by 20 kJ mol^(-1). |
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Answer» Solution :Suppose activation energy in the absence of catalyst is `E_(a)` and that in the presence of catalyst, it is `E_(C)`. Then`K=Ae^(-E_(a)//400"R")("as k is same in both the cases").` Hence, `(E_(a))/(500" R")=(E_(c))/(400" R")" or "E_(c)=(4)/(5)E_(a)` But `E_(a)-E_(c)=20" kJ"" or "E_(a)-(4)/(5)E_(a)=20" or "(1)/(5)E_(a)=20" or "E_(a)=100" kJ MOL"^(-1).` |
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