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EcellEcell0 for the reaction, 2HA2O⟶HA3OA++OHA− at 25°C is - 0.8277 V. The equilibrium constant for the reaction is ______. -

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Question

`"E"_"cell"^0` for the reaction, \[\ce{2H2O -> H3O+ + OH-}\] at 25°C is - 0.8277 V. The equilibrium constant for the reaction is ______.

Options

  • 10-14

  • 10-23

  • 10-7

  • 10-21

MCQ
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Solution

`"E"_"cell"^0` for the reaction, \[\ce{2H2O -> H3O+ + OH-}\] at 25°C is - 0.8277 V. The equilibrium constant for the reaction is 10-14.

Explanation:

\[\ce{2H2O -> H3O+ + OH-}\]

`"E"_"cell"^0 = 0.0591/"n"`log K 

log K = `("E"_"cell"^0 xx "n")/0.0591 = (- 0.8277 xx 1)/0.0591` = - 14

K = 10-14 

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