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Can a reaction have negative activation ...

Can a reaction have negative activation energy?

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`k=Ae^(-E_(a)//RT)`
If `E_(a)" is "-ve, e^(-E_(a)//RT)=e^(x)" where "x=(E_(a))/(RT)`
`e^(x) =1+x+(x^(2))/(2!) +(x^(3))/(3!)…..x lt lt lt 1+x=1+(E_(a))/(RT)`
`k=A (1+(E_(a))/(RT))`
`k gt gt A`
Which is impossible
Hence `E_(a)` is never negative.
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