1. Tardigrade
  2. Question
  3. Chemistry
  4. 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 model for such a concentration cell involving a metal M is: M ( s ) mid M +(aq: 0.05 molar) | M +( aq: 1 molar) mid M ( s ) For the above electrolytic cell the magnitude of the cell potential | E text cell |=70 mV If the 0.05 molar solution of M +is replaced by a 0.0025 molar M +solution, then the magnitude of the cell potential would be

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Q. 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 model for such a concentration cell involving a metal $M$ is:
$M ( s ) \mid M ^{+}$($aq: 0.05$ molar) $\| M ^{+}$( $aq : 1$ molar) $\mid M ( s )$ For the above electrolytic cell the magnitude of the cell potential $\left| E _{\text {cell }}\right|=70 \,mV$
If the $0.05$ molar solution of $M ^{+}$is replaced by a $0.0025$ molar $M ^{+}$solution, then the magnitude of the cell potential would be

JEE AdvancedJEE Advanced 2010

Solution:

From above equation $\frac{2.303 RT }{ F }=0.0538$
So, $E_{\text {cell }}=E_{c a t}^{\circ}-\frac{0.0538}{1} \log 0.0025$
$=0-\frac{0.0538}{1} \log 0.0025$
$\approx 0.13988 \,V$
$\approx 140\, mV$