5.33 g of CrCl₃ 6H₂O , which is a 1 : 3 electrolyte, is dissolved in water and is passed through a cation exchanger. The chloride ions in the eluted solution, on treatment with AgNO₃ results in 8.61 g of AgCl . The ratio of moles of complex reacted and moles of AgCl formed is _______ 10⁻² . (Nearest integer) [Molar mass in g mol ⁻¹ Cr : 52 , Ag : 108 , Cl : 35.5 , H : 1 , O : 16 ]

Step-by-step solution

Molar mass of CrCl₃ 6H₂O = 52 + 3 35.5 + 6 18 = 266.5 g mol ⁻¹ Moles of complex reacted = 5.33 266.5 = 0.02 mol Since the complex is a 1:3 electrolyte, it dissociates to give one complex cation and three chloride anions. Its formula is [Cr(H₂O)₆]Cl₃ . When passed through a cation exchanger, the complex cation is exchanged, and the chloride ions pass into the eluted solution. Molar mass of AgCl = 108 + 35.5 = 143.5 g mol ⁻¹ Moles of AgCl formed = 8.61 143.5 = 0.06 mol The ratio of moles of complex reacted to moles o