Resistance of 0.2 M solution of an electrolyte is `50Omega` . The specific conductance of the solution is `1.4 Sm^(-1)`. The resistance of 0.5 M solution of the same electrolyte is :

Options

A. `5xx10^2`
B. `5xx10^(-4)`
C. `5xx10^(-3)`
D. `5xx10^(3)`

Explanation

To solve the problem, we need to find the resistance of a 0.5 M solution of the same electrolyte given the resistance of a 0.2 M solution and its specific conductance. Here’s a step-by-step solution:

### Step 1: Understand the relationship between resistance, specific conductance, and molar conductivity
The resistance \( R \) of a solution is related to its specific conductance \( \kappa \) by the formula:
\[ R = \frac{1}{\kappa} \cdot \frac{L}{A} \]
where \( L \) is the length of the solution and \( A \) is the cross-sectional area of the cell. Since \( L/A \) (the cell constant) remains constant for the same setup, we can relate the resistances and conductivities of different concentrations.
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