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The concentration of potassium ions ins...

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 :

A

`E_(cell) lt 0, DeltaG gt 0`

B

`E_(cell) gt 0, DeltaG lt 0`

C

`E_(cell) lt 0, DeltaG^(@) gt 0`

D

`E_(cell) gt 0, DeltaG^(@) gt 0`

Text Solution

Verified by Experts

The correct Answer is:
B
It is an electrolyte concentration cell in which the electrode with concentrated electrolyte solution acts as cathode and second one as anode. For a concentration cell, applying Nernst's equation,
`E_("cell") = (0.059)/(n)"log"_(10)([M_(aq.)^(n+)]_("cathode"))/([M_(aq.)^(n+)]_("anode"))`
`:. E_("cell") = (0.059)/(0.1)"log"_(10)([1.0])/(5 xx 10^(-2))`
`= 0.076` or `76 mV" "` (i.e., positive value)
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Knowledge Check

  • 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 If the 0.05 molar solution of M^(+) is replaced by 0.0025 molar M^(+) solution, then the magnitude of the cell potential would be :

    A
    `35 mV`
    B
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    C
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    D
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  • 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 :

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    `E_(cell) lt 0, DeltaG gt 0`
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    D
    `E_(cell) lt 0, DeltaG^(@) gt 0`

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    A
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    C
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    D
    `E_(cell) gt 0, DeltaG^(@) lt 0`

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