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JEE Advanced 2021 · Paper 1, Chemistry question 6

Passage

Question Stem for Question Nos. 5 and 6

For the following reaction scheme, percentage yields are given along the arrow:

MgX2CX3→HX2OP\ce{Mg2C3 ->[H2O] P} (4.0 g); P→75 %NaNHX2,MeIQ→40 %red hot iron tube,873 KR\ce{P ->[NaNH2, MeI][75\%] Q ->[red hot iron tube, 873 K][40\%] R} (x\mathbf x g)

P→100 %HgX2+/HX+,333 KS→80 %Ba(OH)X2,heatT→80 %NaOClU\ce{P ->[Hg^{2+}/H+, 333 K][100\%] S ->[Ba(OH)2, heat][80\%] T ->[NaOCl][80\%] U} (y\mathbf y g; decolourises Baeyer's reagent)

x\mathbf x g and y\mathbf y g are mass of R\mathbf R and U\mathbf U, respectively.

(Use: Molar mass (in g mol−1^{-1}) of H, C and O as 1, 12 and 16, respectively)

Scheme: Mg2C3 + H2O gives P (4.0 g). P with NaNH2/MeI gives Q (75%); Q through a red hot iron tube at 873 K gives R (x g, 40%). P with Hg2+/H+ at 333 K gives S (100%); S with Ba(OH)2 and heat gives T (80%); T with NaOCl gives U (y g, 80%), which decolourises Baeyer's reagent.

The value of y\mathbf y is ____.

Answer and worked solution

Official answer: 3.2

Identify the compounds.

  • HgX2+/HX+\ce{Hg^{2+}/H+} hydrates propyne to acetone, S: 0.1 mol.
  • Ba(OH)X2\ce{Ba(OH)2} and heat bring about an aldol condensation, 2 CHX3COCHX3→(CHX3)X2C=CHCOCHX3+HX2O\ce{2CH3COCH3 -> (CH3)2C=CHCOCH3 + H2O}. T is mesityl oxide: 0.12×0.8=0.04\frac{0.1}2\times0.8=0.04 mol.
  • NaOCl gives the haloform reaction on the methyl ketone. U is (CHX3)X2C=CHCOOH\ce{(CH3)2C=CHCOOH} (M=100M=100), whose C=C decolourises Baeyer's reagent: 0.04×0.8=0.0320.04\times0.8=0.032 mol.

Mass of U. y=0.032×100=3.20y=0.032\times100=3.20 g. (The key also accepts 3.90-3.91.)