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← JEE Main 2026 · 2 Apr · Shift 1
ChemistryInteger+4 / -1Question 71 of 75

JEE Main 2026 · 2 Apr · Shift 1, Chemistry question 71

5.33 g of CrClX3 ⋅ 6 HX2O\ce{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 AgNOX3\ce{AgNO3} results in 8.61 g of AgCl. The ratio of moles of complex reacted and moles of AgCl formed is ________ ×10−2\times10^{-2}. (Nearest integer)
[Molar mass in g mol−1^{-1} Cr : 52, Ag : 108, Cl : 35.5, H : 1, O : 16]

Answer and worked solution

Official answer: 33

Moles of complex. Molar mass of CrClX3 ⋅ 6 HX2O\ce{CrCl3.6H2O} =52+106.5+108=266.5=52+106.5+108=266.5, so 5.33 g is 0.02 mol.

Moles of AgCl. 8.61143.5=0.06\frac{8.61}{143.5}=0.06 mol, i.e. 3 Cl⁻ per formula. This is consistent with the 1 : 3 electrolyte [Cr(HX2O)X6]ClX3\ce{[Cr(H2O)6]Cl3}: the cation exchanger replaces [Cr(HX2O)X6]X3+\ce{[Cr(H2O)6]^{3+}} by 3 HX+\ce{3H+} and all the chloride elutes.

Ratio. 0.020.06=0.333=33×10−2\frac{0.02}{0.06}=0.333=33\times10^{-2}.

Answer: 33