The complex CrCl3⋅6H2O with magnetic moment 3.87 BM indicates 3.87=n(n+2) giving n = 3 unpaired electrons, confirming Cr³⁺.
A 1:2 electrolyte means structure is [Cr(H2O)5Cl]2+Cl2−.
Molar mass = 52 + 5(18) + 35.5 + 6(18) = 285.5 g/mol.
Moles of complex = 2.75/285.5 = 0.00963 mol.
After cation exchange, 2 Cl⁻ remain per formula unit (from the 1:2 electrolyte), giving 0.00963 × 2 = 0.01926 mol of free Cl⁻.
Reacting with excess AgNO₃: mass of AgCl = 0.01926 × 143.5 = 2.76 g ≈ 3 g (nearest integer).