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The e.m.f. of cell: H(2)(g) |Buffer| Nor...

The e.m.f. of cell: `H_(2)(g)` |Buffer| Normal calomal electrode is `0.6885V` at `40^(@)C` when the barometric pressure is `725mm` of Hg. What is the `pH` of the solution `E_("calomal")^(@) = 0.28`.

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Verified by Experts

The correct Answer is:
6.6

`E = E_(calmol)^(@) +E_(H_(2)//H^(+))^(@) -(RT)/(nF) "In" ([H^(+)]^(2))/(P_(H_(2)))`
`0.6885 = 0.28 -(8.314 xx 313)/(2 xx 96500) "In"([H^(+)]^(2))/(725) xx 760`
`[H^(+)] = 2.57 xx 10^(-7)`
`pH = 6.6`
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