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H(2)O and O atom react in upper atmosphe...

`H_(2)O` and `O` atom react in upper atmosphere bimolecularly to form two `OH` radicals. `DeltaH` for the reaction is `72 kJ` at `500K` and energy of activation is `77kJ mol^(-1)`. Estimate `E_(a)` for bimolecular recombination of two `OH` radicals to form `H_(2)O` and `O` atom.

Text Solution

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`H_(2)O+O overset(E_(a))(rarr)2OH, DeltaH=72 kJ`
`2OH overset(E_(b))(rarr)H_(2)O+O, DeltaH=-72 kJ`
Also `E_(a)-E_(b)=DeltaH`
`77-E_(b)=72`
`:. E_(b)=5 kJ mol^(-1)`
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