Molar conductivities at infinite dilution _ m ^ for Ba ( OH )₂ , BaCl ₂ and NH ₄ Cl are 457.0,240.6 and 2130 Scm ^2 ~mol ⁻¹ respectively. The _ m ^0 for ammonium hydroxide (in Scm ^2 mol ⁻¹ ) is

Step-by-step solution

_ m ^ ( NH ₄ OH )= _ m ^ ( NH ₄⁺ )+ _ m ^ ( OH ⁻ ) aligned & = _ m ^ ( NH ₄ Cl )+ 1 2 _ m ^ ( Ba ( OH )₂ )- 1 2 _ m ^ ( BaCl ₂ ) & =2130+ ( 1 2 457.0 )- ( 1 2 240.6 ) & =2238.2 ~S ~cm ^2 ~mol ⁻¹ aligned