GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/76

Given the length of crystalline region as 90\mathring{A}, crystalline density of polyester as 1.445 g/cc and amorphous density as 1.335 g/cc.

Question 76 (Textile Engineering & Fibre Science)

If the density of polyester fibres is 1.399 g/cc, the fractional density crystallinity of polyester would be approximately

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Option C is correct.
Length of crystalline region(Lc)=90 A^o

Crystalline density(\rho_c)=1.445 g/cc

Amorphous density(\rho_a)=1.335 g/cc

Density of fibre(\rho)=1.399 g/cc

Fractional crystallinity=?


Fractional crystallinity=\frac{\rho_c}{\rho} \times \frac{\rho-\rho_a}{\rho_c-\rho_a}

Fractional crystallinity=\frac{1.445}{1.399} \times \frac{1.399-1.335}{1.445-1.335}

Fractional crystallinity=1.033 \times \frac{0.064}{0.11}

Fractional crystallinity=1.033 \times 0.58

Fractional crystallinity=0.60 (Ans)

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