The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resulting potential difference across the cell is important in serveral processes such as transmission of nerve impules and maintaining the ion balance. A simple model for such a concentration cell involving a metal M is : M_((s))|M^(+)(aq, 0.05" molar")||M^(+)(aq, 1" molar")|M_((s)) For the above electroltic cell, the magnitude of the cell potential |E_(cell)|=70 m V. For the above cell :

The concentration of potassium ions inside a biological cell is at lea

1.	The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resulting potential difference across the cell is important in serveral processes such as transmission of nerve impules and maintaining the ion balance. A simple model for such a concentration cell involving a metal M is : M_((s))\|M^(+)(aq, 0.05" molar")\|\|M^(+)(aq, 1" molar")\|M_((s)) For the above electroltic cell, the magnitude of the cell potential \|E_(cell)\|=70 m V. For the above cell :
Answer» `E_(cell) lt 0, DeltaG gt 0` `E_(cell) gt, DeltaG lt 0` `E_(cell) lt 0 , DeltaG^(@) gt 0` `E_(cell) lt 0, DeltaG^(@) gt 0` Solution :(b) The cell NET cell reaction is : `M_((s))+M_((aq 1M))^(+) to M_((aq. 0.05 M))^(+)+M_((s))` According to Nernst equation, `E_(cell)=E_(cell)^(@)-(0.059)/(n)"LOG"([M^(+)]_((0.05" M")))/([M^(+)]_([1M]))` `=E_(cell)^(@)-(0.059)/(1)log(0.05)" log "(5xx10^(-2))` `=-0.059[-2+"log "5]=-0.059[-2+0.6990]` =+ve `:. E_(cell)=+ve" or " E_(cell) gt 0` and `DeltaG=-nFE_(cell.)` `DeltaG=-nFE_(cell.)=-ve` THUS `E_(cell) gt 0, DeltaG lt 0`.