3. Poly(hexamethylene adipamide-or nylon 6,6\"-is a high mechanical strength pol

Question

3. Poly(hexamethylene adipamide-or nylon 6,6"-is a high mechanical strength polymer y used to make fibers for a range of applications, including textiles, carpeting, and molded parts. While usually semicrystalline in nature, it is possible to produce totally crystalline nylon 6,6. At room temperature, crystalline nylon 6.6 exists in a triclinic structure with a density of 1.213 g/cm3. The lattice parameters of the unit cell are as follows: a 0.497 nm b-0.547 nm c 1.729 nm a48.4° B- 76.60 162.50 The volume of a triclinic unit cell can be determined, based upon these lattice parameters, as: V-abc 1-cos2 ?-cos2 ?-cos2 ? + 2 cos ? cos ? cos ? Using all of this information, determine the number of polymer repeat units that are contained within the unit cell for crystalline nylon 6,6.

Explanation / Answer

Volume of the triclinic cell calculated by inputting the unit cell parameter = 0.3097 nm3

Density of the unit cell = Z x M / V x Na; Z = Formula unit, M = M.W. ; V = Volume of unit cell, Na = avagadro number

i.e. Zx M = 1.213 x (0.3097x10-21) x (6.023 x 1023) = 226.

Z x M calculated = 226,

M.W. of Nylon 66 = 224.3

So the number of Nylon 66 molecule in the unit cell is one.

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