What is the molar conductivity of CH ₃ CO ₂ H at infinite dilution? Given that, _ m ^ o ( CH ₃ CO ₂ )₂ Ba = x ₁ ~S ~cm ^2 ~mol ⁻¹ aligned & _ m ^ o ( BaCl ₂ )= x ₂ ~S ~cm ^2 ~mol ⁻¹ & _ m ^ o ( HCl )= x ₃ ~S ~cm ^2 ~mol ⁻¹ aligned

Step-by-step solution

aligned & CH ₃ COOH CH ₃ COO ⁻+ H ⁺ ; HCl H ⁺+ Cl ⁻ & ( CH ₃ COO )₂ Ba 2 CH ₃ COO ⁻+ Ba ²⁺ & BaCl ₂ Ba ²⁺+2 Cl ⁻ aligned gathered 2 ( _ m ^ )_ CH ₃ COOH =2 ( _ m ^ )_ CH ₃ COO ⁻ +2 ( _ m ^ )_ H ⁺ = [2 ( _ m ^ )_ CH ₃ COO ⁻ + ( _ m ^ )_ Ba ²⁺ ]+ [2 ( _ m ^ )_ H ⁺ +2 ( _ m ^ )_ Cl ⁻ ]- ( _ m ^ )_ Ba ²⁺ -2 ( _ m ^ )_ Cl ⁻ gathered aligned & = ( ^ _ m )_ ( CH ₃ COO )₂ Ba +2 ( _ m ^ )_ HCl - ( _ m ^ )_ BaCl ₂ & = x ₁+2 x ₃- x ₂ & ( _ m ^ )_ CH ₃ COOH = x ₁- x ₂ 2 + x ₃ aligned