Among the following, the intensive property is (are):

The concentration of ${\mathrm{K}}^{+}$ 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 $\mathrm{M}$ is:

$\mathrm{M}\left(\mathrm{s}\right)\left|{\mathrm{M}}^{+}(\mathrm{aq};0.05\mathrm{M})\Vert {\mathrm{M}}^{+}(\mathrm{aq},1\mathrm{M})\right|\mathrm{M}\left(\mathrm{s}\right)$ 

For the above galvanic cell, the magnitude of the cell potential $\left|E_{\mathrm{cell}}\right|=70 \mathrm{mV}$

For the above cell:

[Hint: For concentration cell, ${\mathrm{E}}_{\mathrm{cell} =\frac{2.303 \mathrm{RT}}{\mathrm{nF}}}\log \frac{{\mathrm{C}}_2}{{\mathrm{C}}_1}=+\mathrm{ve}({\mathrm{C}}_2>{\mathrm{C}}_1)$ ]

The concentration of ${\mathrm{K}}^{+}$ 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 $\mathrm{M}$ is:

$\mathrm{M}\left(\mathrm{s}\right)\left|{\mathrm{M}}^{+}(\mathrm{aq};0.05\mathrm{M})\Vert {\mathrm{M}}^{+}(\mathrm{aq},1\mathrm{M})\right|\mathrm{M}\left(\mathrm{s}\right)$ 

For the above galvanic cell, the magnitude of the cell potential $\left|E_{\mathrm{cell}}\right|=70 \mathrm{mV}$.

If the $0.05 \mathrm{M}$ solution of ${\mathrm{M}}^{+}$ is replaced by $0.0025 \mathrm{M} {\mathrm{M}}^{+}$ solution, the magnitude of the cell potential would be:

[Hint: From Q. No. 408: $\frac{2.303\mathrm{RT}}{\mathrm{F}}\log \frac{1}{0.05}=0.07;\frac{2.303\mathrm{RT}}{\mathrm{F}}=0.0538.$

Then, apply the Nernst equation again.]