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For a cell reaction 2H2(g)+O2(g)to2H2O(l...

For a cell reaction `2H_2(g)+O_2(g)to2H_2O(l)/_\_rS_(198)^(@)=-0.32KJ//k` . What is the value of `/_\_fH_(298)^(@)(H_2O,l)` ?
Given: `O_2(g)+4H^+(aq)+4e^-)to2H_2O(l), E^(@)=1.23V`

A

`-285.07kJ//"mol"`

B

`-570.14kJ//"mol"`

C

`285.07kJ//"mol"`

D

`+570.14KJ//"mol"`

Text Solution

Verified by Experts

The correct Answer is:
A
We know `2H_(2)(g)rarr4H^(+)+4e^(-),E=0.0V`
`(O_(2)(g)+4H^(+)(aq)+4e^(-)rarr2H_(2)O(l),E=1.23V)/(2H_(2)(g)+O_(2)(g)rarr2H_(2)O(l),E_(cell)^(@)=1.23V)`
`DeltaG_(298)^(@)=-nFE^(@)=-4xx96500xx1.23`
`=-474.78kJ`
`Delta_(f)H_(298)^(@)+T.DeltaS_(298)^(@)=(-474.78)+298xx(-0.19)`
`Delta_(f)H_(298)^(@)=-285.07kJ//mol`
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