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Consider two types of polyester fiber, a trilobal and a round fiber.

The trilobal fiber can be represented as an equilateral triangle with

each side length of $24m.$ Both fibers have equal cross$-$sectional

area. The fiber density for the trilobal fiber is $1\mathrm{.}395\frac{g}{c}{m}^3$ while for

the round fiber, $1\mathrm{.}383\frac{g}{c}{m}^3.$ Calculate and compare the specific

surface area per unit length as well as the crystallinity of these

fibers. The density of purely crystalline PET is $1\mathrm{.}455\frac{g}{c}{m}^3,$ and

density of amorphous PET is $1\mathrm{.}335\frac{g}{c}{m}^3.$ Identify which fiber you

anticipate will absorb more water and explain why.