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Electrochemistry

Question
CBSEENCH12010781

On the basis of the following thermochemical data: (∆f G° H(aq)+=0)
H2O(l) → H+(aq) + OH(aq); ∆H =57.32kJ
H2(g) + 1/2O2(g) → H2O(l); ∆H = –286.20 kJ
The value of enthalpy of formation of OHion at 25°C is

  •  –22.88 kJ

  • –228.88 kJ

  • +228.88 kJ

  • –343.52 kJ 

Solution

B.

–228.88 kJ

By adding the two given equations, we have
straight H subscript 2 space left parenthesis straight g right parenthesis space space plus space 1 half straight O subscript 2 space left parenthesis straight g right parenthesis space rightwards arrow space straight H subscript left parenthesis aq right parenthesis end subscript superscript plus space plus space OH subscript left parenthesis aq right parenthesis end subscript superscript minus space space semicolon space
increment space equals space minus space 228.88 space KJ
Here space increment straight H subscript straight f superscript 0 space of space straight H subscript left parenthesis aq right parenthesis end subscript superscript plus space equals space 0
therefore space increment straight H subscript straight f superscript 0 space of space OH to the power of minus space equals space minus space 228.88 space kJ