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A cell is containing two H electrodes. The negative electrode is in contact with a solution of `10^(-6)MH^(+)` ion. The e.m.f. of the cell is `0.118` volt at `25^(@)C` . Calculate `[H^(+)]` at positive electrode. |
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Answer» Anode: `H_(2)rarr2H^(+)2e` (nagative polarity) `[H^(+)]=10^(6)M` `"Cathode: "2H^(+)+2erarrH_(2)` (positive polarity) `[H^(+)]rarraM` `thereforeE_(cell) =E_(OP_(H//H^(+)))+E_(Rp_(H^(+)//H))` `=E_(OP_(H//H^(+)))^(@) (0.059)/(2) log_(10)[H^(+)]_("anode")^(2)+E_(RP_(H^(+)//H))^(0)+(0.059)/(2)log_(10) [H^(+)]_("cathode")^(2)` `=(0.059)/(2)log_(10).([H^(+)]_("cathode")^(2))/([H^(+)]_("anode")^(-2))` `0.118=(0.059)/(2)log_(10).([H^(+)]_("cathode")^(2))/((10^(-6))^(2))` `=(0.059)/(2)log_(10).([H^(+)]_("cathode")^(2))/(10^(-6))` `therefore[H^(+)]_("cathode")=10^(-6)M` |
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