A KCl solution of conductivity \(0.14\ \mathrm{S\ m^{-1}}\) shows a resistance of \(4.19\ \Omega\) in a conductivity cell. If the same cell is filled with an HCl solution, the resistance drops to \(1.03\ \Omega\). The conductivity of the HCl solution is ____________ \(\times 10^{-2}\ \mathrm{S\ m^{-1}}\). (Round off to the Nearest Integer).
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Correct Answer: 57
Solution and Explanation
For HCl: \(\kappa = G^*/R = 0.5866/1.03 = 0.5695\ \mathrm{S\ m^{-1}} = 56.95\times 10^{-2}\ \mathrm{S\ m^{-1}}\).
Rounded to the nearest integer = 57.
Answer: 57
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