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Why is the molar conductivity of a 0.01 M HCl solution greater than that of a 0.01 M `CH_(3)COOH` solution?

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HCl is a strong electrolyte whereas `CH_(3)COOH` is a weak electrolyte. Hence for solution of HCl and `CH_(3)COOH` having same concentration, number of ions in HCl solution is much greater than in `CH_(3)COOH` solution. Thus molar conductivity of HCl solution is greater than that of `CH_(3)COOH` solution.
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