The limiting molar conductivities ( _ m ^ ) of Barium acetate, Hydrochloric acid, and Barium chloride are 209 , 426 , and 279 S cm ^2 mol ⁻¹ respectively. What is the limiting molar conductivity of Acetic acid?

Step-by-step solution

According to Kohlrausch's law of independent migration of ions: _ m ^ ( CH ₃ COOH ) = ^ ( CH ₃ COO ^-) + ^ ( H ^+) We can obtain this from the given salts by adjusting their stoichiometric coefficients: _ m ^ ( CH ₃ COOH ) = 1 2 _ m ^ (( CH ₃ COO )₂ Ba ) + _ m ^ ( HCl ) - 1 2 _ m ^ ( BaCl ₂) = 1 2 (209) + 426 - 1 2 (279) = 104.5 + 426 - 139.5 = 391 S cm ^2 mol ⁻¹ Direct addition or subtraction without considering the stoichiometric factors (the 1/2 multipliers for the barium salts) leads to incorrect values. Answer