At 25^ C , the molar conductances at infinite dilution for the strong electrolytes NaOH , NaCl and BaCl ₂ are 248 10⁻⁴, 126 10⁻⁴ and 280 10⁻⁴ Sm ^2 ~mol ⁻¹ respectively, _m^ Ba ( OH )₂ in Sm ^2 ~mol ⁻¹ is

Step-by-step solution

aligned & BaCl ₂+2 NaOH Ba ( OH )₂+2 NaCl & _ m Ba ( OH )₂ ^ = _ m BaCl ₂ ^ +2 _ m NaOH ^ -2 _ m NaCl ^ aligned aligned & =280 10⁻⁴+2 248 10⁻⁴ & -2 126 10⁻⁴ & =(280+496-252) 10⁻⁴ & =524 10⁻⁴ Sm ^2 ~mol ⁻¹ aligned