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For the auto-ionization of water at 25^(...

For the auto-ionization of water at `25^(@)C, H_(2)O(l)iff H^(+)(aq)+OH^(-)` (aq) equilibrium constant is `10^(-14)`.
What is `DeltaG^(@)` for the process?

A

`~=8xx10^(4)J`

B

`~=3.5xx10^(4)J`

C

`~=10^(4)J`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

`DeltaG^(@)=-RTln K_(w)`
`=-8.314 xx 298 xx 2.303 (-14)`
`~=80000J//"mol"`
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