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JEE Main 2016 · Chemistry · Biomolecules and Polymers · easy

Nylon-6,6 is made from hexamethylenediamine (M=116) and adipic acid (M=146) with loss of water. To prepare 4.52 g of nylon-6,6 (repeat unit…

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Nylon-6,6 is made from hexamethylenediamine (M=116M=116) and adipic acid (M=146M=146) with loss of water. To prepare 4.52 g4.52\ \mathrm{g} of nylon-6,6 (repeat unit C12H22N2O2\mathrm{C_{12}H_{22}N_2O_2}, M=226M=226) in 90%90\% yield, the mass of adipic acid required is nearly
  1. A. 2.92 g2.92\ \mathrm{g}
  2. B. 3.60 g3.60\ \mathrm{g}
  3. C. 3.24 g3.24\ \mathrm{g}
  4. D. 2.58 g2.58\ \mathrm{g}
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Answer: (C) 3.24 g3.24\ \mathrm{g}

Each repeat unit is formed from one diamine and one diacid minus 2H2O2\mathrm{H_2O}: 116+146−36=226116+146-36=226. 4.52 g4.52\ \mathrm{g} polymer is 0.0200.020 mol of repeat units, requiring 0.0200.020 mol of adipic acid at 100%100\% yield: 0.020×146=2.920.020\times146=2.92 g. At 90%90\% yield the amount of reactant must be larger: 2.92/0.90=3.242.92/0.90=3.24 g. The 2.922.92 g option ignores the yield, 3.603.60 g divides by 0.810.81 (applies the yield twice), and 2.582.58 g is the diamine requirement adjusted for yield.
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