First slide
Nernst Equation
Question

The following cell is found to have EMF equal to zero. Pt, H2 (x atm) | 0.01MH+ || 0.1MH+ | H2 (y atm), Pt . The ratio  xy is 

Moderate
Solution

The Cell reaction is

Anode\,\,\,\,\,\,\,:{H_2}\left( {xatm} \right) \to 2{H^ + }\left( {0.01M} \right) + 2{e^ - }

\underline {Cathode\,\,:2{H^ + }\left( {0.1M} \right) + 2{e^ - } \to {H_2}\left( {yatm} \right)}

\underline {{H_2}\left( {xatm} \right) + 2{H^ + }\left( {0.1M} \right) \to {H_2}\left( {yatm} \right) + 2{H^ + }\left( {0.01M} \right)}

0 = 0 - \frac{{0.0591}}{2}\log \frac{{{{\left( {0.01} \right)}^2}\left( y \right)}}{{{{\left( {0.1} \right)}^2}\left( x \right)}} \Rightarrow \frac{x}{y} = 0.01

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