Question

Converts 100s cotton count in denier system.

• A. \( 531.5 \)
• B. \( 5.315 \)
• C. \( 0.5315 \)
• D. \( 53.15 \)

Hint:

Common constants for Ne conversions:
• Ne to Denier: 5315 Ne
• Ne to Tex: 590.5 Ne

Answer 1

The Correct Option is D

Concept: Cotton Count (Ne) is an indirect system (length per unit weight), while Denier is a direct system (weight per unit length). To convert between these two systems, we use a standard conversion constant.

Step 1: Identify the conversion constant.
The constant used to convert between English Cotton Count (Ne) and Denier is 5315. The relationship is inverse because one system is direct and the other is indirect.

Step 2: Apply the conversion formula.
The formula to find Denier from Ne is: \[ \text{Denier} = \frac{5315}{\text{Cotton Count (Ne)}} \]

Step 3: Perform the calculation.
Substituting the given cotton count of 100s: \[ \text{Denier} = \frac{5315}{100} \] \[ \text{Denier} = 53.15 \]

Step 4: Conclusion.
A cotton count of 100s is equivalent to 53.15 Denier. This confirms that a very fine cotton yarn (high Ne) corresponds to a low Denier value.