If the 0.05 molar solution of `M^+` is replaced by a 0.0025 molar solution, then the magnitude of the cell potential would be ( Ecell = 70mV) :

Options

A. 35mV
B. 70mV
C. 140mV
D. 700mV

Explanation

To solve the problem step by step, we will use the Nernst equation and the concept of concentration cells.

### Step 1: Understand the Nernst Equation
The Nernst equation for a concentration cell can be expressed as:
\[ E_{\text{cell}} = E^0_{\text{cell}} - \frac{0.059}{n} \log \left( \frac{[M^+]_{\text{anode}}}{[M^+]_{\text{cathode}}} \right) \]
In this case, since we are dealing with a concentration cell, \( E^0_{\text{cell}} = 0 \). Therefore, the equation simplifies to:
\[ E_{\text{cell}} = -\frac{0.059}{n} \log \left( \frac{[M^+]_{\text{anode}}}{[M^+]_{\text{cathode}}} \right) \]

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