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The decomposition of N(2)O into N(2) and...

The decomposition of `N_(2)O` into `N_(2)` and O in the presence of gaseous argon follows second kinetics with
`k=(5.0xx10^(11)` L `"mol"^(-1) s^(-1))e^(-29000 K//T)`
The energy of activation is

A

`2.9xx10^(4) kJ "mol"^(-1)`

B

`2.41xx10^(2) kJ "mol"^(-1)`

C

`1.45 xx10^(4) kJ "mol"^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Comparing the given equation with `k=Ae^(-E_(a)//RT)` we find that the exponent of e is `-E_(a)//RT`
`:. (E_(a))/(RT)=(29,000K)/(T)`
`E_(a)=(29,000K)R`
`= (29,000K)xx(8.314JK^(-1)"mol"^(-1))`
`=241"kJ mol"^(-1)=2.41xx10^(2)"kJ mol"^(-1)`
`k=Ae^(-E_(a)//RT)`
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