Given that molar conductances for Ba ( OH )₂ , BaCl ₂ and NH ₄ Cl are 523.28,280.0 and 129.8 ⁻¹ ~cm ² ~mol ⁻¹ respectively. What is the molar conductivity ( ⁻¹ ~cm ² ~mol ⁻¹ ) of NH ₄ OH ?

Step-by-step solution

According to Kohlrausch law of independent migration of ions, the molar conductivity of an electrolyte at infinite dilution is the sum of the molar conductivities of its constituent ions. The given molar conductivities are: _ m ^ ( Ba ( OH )₂) = ^ ( Ba ²⁺) + 2 ^ ( OH ⁻) = 523.28 _ m ^ ( BaCl ₂) = ^ ( Ba ²⁺) + 2 ^ ( Cl ⁻) = 280.0 _ m ^ ( NH ₄ Cl ) = ^ ( NH ₄⁺) + ^ ( Cl ⁻) = 129.8 We need to find _ m ^ ( NH ₄ OH ) = ^ ( NH ₄⁺) + ^ ( OH ⁻) . Using the given values, we can express _ m ^ ( NH ₄ OH ) as: _ m ^ ( NH ₄ OH