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The rate constant of a reaction is 1.5 x...

The rate constant of a reaction is `1.5 xx 10^(7)s^(-1)` at `50^(@)C` and `4.5 xx 10^(7) s^(-1)` at `100^(@)C`. Evaluate the Arrhenius parameters `A` and `E_(a)`.

Text Solution

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`therefore 2.303 log_(10) ""(K_(2))/(K_(1))=(E_(a))/(R ) [(T_(2)-T_(1))/(T_(1)T_(2))]`
`therefore 2.303 log_(10)""(4.5xx10^(7))/(1.5xx10^(7))=(E_(a))/(8.314)[(373-323)/(373xx323)]`
`therefore " "E_(a) =2.2xx10^(4)" J mol"^(-1)`
Now, `" "K=Ae^(-E_(a)RT)`
`therefore " "4.5xx10^(7) =Ae^(-(2.2xx10^(4))/(8.314xx373))`
`therefore " "A=5.42xx10^(10)`
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