Given below is the plot of the molar conductivity vs \( \sqrt{c} \) concentration for KCl in aqueous solution. If, for the higher concentration of KCl solution, the resistance of the conductivity cell is 100 \( \Omega \), then the resistance of the same cell with the dilute solution is 'x' \( \Omega \). The value of \( x \) is:
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Solution and Explanation
Step 1: From the graph, we see that as the concentration decreases, the molar conductivity decreases linearly.
Step 2: Based on the relation \( \Lambda_m = \frac{1}{R} \), and assuming molar conductivity is inversely proportional to concentration, the value of \( x \) for dilute solution can be estimated. Final Conclusion: The resistance of the cell with the dilute solution is \( x = 150 \, \Omega \).
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