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Standard XII

Biology

Active Transport

The concentra...

Question

The concentration of $K^{+}$ ion inside a biological cell is $20$ times higher than outside. The magnitude of potential difference the two sides is:

0 m V

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26 m V

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77 m V

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177 m V

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Solution

The correct option is B $77 m V$
This is a concentration cell,
$E_{c e l l} = \frac{0.059}{1} l o g (\frac{C_{1}}{C_{2}})$
$C_{1} = 20 C_{2}$
$E_{c e l l} = 0.059 l o g (20)$
$E_{c e l l} = 0.0767 V$
$= 76.7 m V$

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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 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:
$M (s) | M^{+} (a q; 0.05 m o l a r) | | M^{+} (a q; 1 m o l a r) | M (s)$
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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 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:
$M (s) | M^{+}$ (aq;0.05 molar)|| $M^{+}$ (aq;1 molar)|M(s)
For the above electrolytic cell the magnitude of the cell potential $| E_{c e l l} | = 70 m V$ .

For the above cell

Q. Concentration of

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The concentration of K+ ion inside a biological cell is 20 times higher than outside. The magnitude of potential difference the two sides is:

The correct option is B 77mVThis is a concentration cell,Ecell=0.0591log(C1C2)C1=20C2Ecell=0.059log(20)Ecell=0.0767V=76.7mV

The concentration of $K^{+}$ ion inside a biological cell is $20$ times higher than outside. The magnitude of potential difference the two sides is:

The correct option is B $77 m V$
This is a concentration cell,
$E_{c e l l} = \frac{0.059}{1} l o g (\frac{C_{1}}{C_{2}})$
$C_{1} = 20 C_{2}$
$E_{c e l l} = 0.059 l o g (20)$
$E_{c e l l} = 0.0767 V$
$= 76.7 m V$