A 0.05 M solution of K ₄[ Fe ( CN )₆] is isotonic with a 0.04 M solution of Carnallite ( KCl MgCl ₂ 6 H ₂ O ) at the same temperature. Assuming 100 % ionization for Carnallite, the percentage degree of dissociation of K ₄[ Fe ( CN )₆] is

Step-by-step solution

For Carnallite ( KCl MgCl ₂ 6 H ₂ O ), assuming 100 % ionization, it dissociates into K ^+ , Mg ²⁺ , and 3 Cl ^- . Number of ions, n = 5 . Thus, van 't Hoff factor, i₁ = 5 . Effective concentration of Carnallite = i₁ C₁ = 5 0.04 = 0.20 M . For K ₄[ Fe ( CN )₆] , it dissociates into 4 K ^+ and [ Fe ( CN )₆]⁴⁻ . Number of ions, n = 5 . Let be the degree of dissociation. van 't Hoff factor, i₂ = 1 + (n - 1) = 1 + 4 . Effective concentration of K ₄[ Fe ( CN )₆] = i₂ C₂ = (1 + 4 ) 0.05 . Since the solutions are isotonic