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The concentration of potassium ions insi...

The concentration of potassium ions inside a biological cell is at least 20 times higher than outside. The resulting potential difference across the cell is important in several processes such as transmission of nerve impulses and maintaining the ion balance. A simplel model for a concentration cell involving a metal `M` is
`M(s)|M^(o+)(aq,0.05 ` molar`)||M^(o+)(aq,1` molar`)|M(s)`
For the abov electrolytic cell, the magnitude of the cell potential is `|E_(cell)|=70mV.`
For the above cell

A

`E_(cell)lt0,DeltaGgt0`

B

`E_(cell)gt0,DeltaGlt0`

C

`E_(cell)lt0,DeltaG^(@)gt0`

D

`E_(cell)gt0,DeltaG^(@)lt0`

Text Solution

Verified by Experts

The correct Answer is:
B
For the given concentration cell,
`E_(cell)=(2.303RT)/(nF)"log"(C_(2))/(C_(1))`
`=(2.303RT)/(F)"log"(1)/(0.05)=+ve,` i.e., `E_(cell)gt0`.
For the reaction to be spontaneous, `DeltaG lt 0`.
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The concentration of potassium ions inside a biological cell is at least 20 times higher than outside. The resulting potential difference across the cell is important in several processes such as transmission of nerve impulses and maintaining the ion balance. A simplel model for a concentration cell involving a metal M is M(s)|M^(o+)(aq,0.05 molar )||M^(o+)(aq,1 molar )|M(s) For the abov electrolytic cell, the magnitude of the cell potential is |E_(cell)|=70mV. If the 0.05 moolar solution of M^(o+) is replaced by a 0.0025 molar M^(o+) solution, then the magnitude of the cell potential would be

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 several processes such as transmission of nerve impulses and maintaining the ion balance. A simple mode 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 electrolytic cell the magnitude of the cell potential |E_(cell) | = 70mV For the above cell :