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← JEE Advanced 2023 · Paper 1
ChemistryInteger+4Question 42 of 51

JEE Advanced 2023 · Paper 1, Chemistry question 8

The stoichiometric reaction of 516 g of dimethyldichlorosilane with water results in a tetrameric cyclic product X in 75% yield. The weight (in g) of X obtained is _____.

[Use, molar mass (g mol−1\mathrm{g\,mol^{-1}}): H = 1, C = 12, O = 16, Si = 28, Cl = 35.5]

Answer and worked solution

Official answer: 222

Moles of silane. (CHX3)X2SiClX2\ce{(CH3)2SiCl2} has M=30+28+71=129M=30+28+71=129, so 516 g is 4 mol.

Product. Hydrolysis gives (CHX3)X2Si(OH)X2\ce{(CH3)2Si(OH)2}, which condenses to the cyclic tetramer [(CHX3)X2SiO]X4\ce{[(CH3)2SiO]4}:

  • molar mass 4×74=2964\times74=296;
  • 4 mol of monomer gives 1 mol of tetramer.

Yield. 0.75×296=2220.75\times296=222 g.