JEE Advanced · 2023 · 04 Jun 2023 · Paper 1 · Some Basic Concepts of Chemistry

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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}) : H = 1, C = 12, O = 16, Si = 28, Cl = 35.5

]

Answer: 222

Solution

Dimethyldichlorosilane is

(CH X_{3}) X_{2} SiCl X_{2}

with molar mass = 2(12) + 6(1) + 28 + 2(35.5) = 129 g/mol.

Moles of

(CH X_{3}) X_{2} SiCl X_{2}

= 516/129 = 4 mol.

The reaction is:

4 (CH X_{3}) X_{2} SiCl X_{2} + 4 H X_{2} O [(CH X_{3}) X_{2} SiO] X_{4} + 8 HCl

The tetrameric cyclic product X is

[(CH X_{3}) X_{2} SiO] X_{4}

(octamethylcyclotetrasiloxane).

Molar mass of X = 4[2(12) + 6(1) + 28 + 16] = 4(74) = 296 g/mol.

Theoretical yield = 1 mol × 296 g/mol = 296 g.

Actual yield at 75% = 296 × 0.75 = 222 g.

JEE Advanced · 2023 · 04 Jun 2023 · Paper 1 · Integer answer

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JEE Advanced · 2023 · 04 Jun 2023 · Paper 1 · Some Basic Concepts of Chemistry

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