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Write the Nernst equation and emf of the following cell at 298 K: \\ce{Fe_{(s)} | Fe^{2+} (0.001 M) || H^+ (1 M) | H2_{(g)} (1 bar) | Pt_{(s)}}\ - Chemistry

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प्रश्न

Write the Nernst equation and emf of the following cell at 298 K:

\[\ce{Fe_{(s)} | Fe^{2+} (0.001 M) || H^+ (1 M) | H2_{(g)} (1 bar) | Pt_{(s)}}\]

संख्यात्मक

उत्तर

The cell reaction is as follows:

\[\ce{Fe_{(s)} + 2H^+ (1 M) -> Fe^{2+} (0.001 M) + H2 (1 bar)}\]

Hence, n = 2,

The Nernst equation for the emf of this cell will be as follows –

`"E"_"cell" = ("E"_("H"^+//1/2"H"_2)^Θ - "E"_("Fe"^(2+)//"Fe")^Θ) - 0.059/2 log_10  (["Fe"^(2+)] xx "pH"_2)/(["H"^+]^2)`

∴ `"E"_"cell" = [0 - (-0.44)] - 0.059/2 log_10  (0.001 xx 1)/(1)^2`

= `0.44 - 0.059/2 log_10 10^-3`

= `0.44 - 0.059/2 xx (-3)`

= 0.529 V

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