An octahedral complex of Chromium(III) with ammonia and chloride ligands has the empirical formula CrCl ₃ n NH ₃ . The complex conducts electricity in aqueous solution but does NOT exhibit geometrical isomerism. When 1 mole of this complex reacts with an excess of AgNO ₃ solution, it yields x moles of AgCl precipitate. The spin-only magnetic moment of the complex is y B.M. (rounded off to the nearest integer). The ma

Step-by-step solution

The central metal ion is Cr ³⁺ , which has a 3 d ^3 electronic configuration. In an octahedral field, the configuration is t_ 2g ^3 e_g^0 . The number of unpaired electrons is n = 3 . The spin-only magnetic moment is given by = n(n+2) = 3(5) = 15 3.87 B.M. Rounding off to the nearest integer, we get y = 4 . Since the complex is octahedral, its coordination number is 6 . The possible structures based on the empirical formula CrCl ₃ n NH ₃ are: 1) [ Cr ( NH ₃)₆] Cl ₃ ( n=6 ): Conducts electricity, no geometrical isom