# GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/46

###### Question 46 (Textile Engineering & Fibre Science)

Length of 2 kg of 180 denier polyester yarn is

[Show Answer]

Option B is correct.

Given in the question-

Count of polyester yarn=180 denier

We know-

Denier=9 x tex

180=9 x tex

tex=20

Weight=2 kg
=2000 gm

By definition of tex-

Weight of 1000 meter length in gm

Here given,

1000 meter length have=20 gm weight

i.e. 20 gm weight have=1000 meter

so, 1 gm weight have=1000/20

Now,

2000 gm weight have=1000 x 2000 /20 length

Length of yarn=100000 meter

Length of yarn=100 km (Ans)

### What is the denier count of yarn?

The denier count is a measurement used to describe the fineness or thickness of yarn or filament fibers. It specifically refers to the mass in grams per 9,000 meters of the fiber or yarn. Denier is commonly used to measure synthetic fibers such as polyester, nylon, and rayon.
The denier count indicates the weight or thickness of the yarn. A higher denier count indicates a thicker or heavier yarn, while a lower denier count represents a finer or lighter yarn. For example, a 100-denier yarn is thicker and heavier than a 50-denier yarn.
Denier count is often used to classify and differentiate yarns based on their intended use. For instance, fine and lightweight fabrics like sheer stockings or hosiery typically use yarn with denier counts ranging from 5 to 30. On the other hand, heavier fabrics like upholstery or industrial materials might use yarn with denier counts exceeding 100.
It’s worth noting that denier is not the only factor that determines the quality or performance of a yarn. Other characteristics such as the fiber type, twist, and construction also play crucial roles in determining the overall properties of the yarn and the resulting fabric.